WO2023130691A1 - Dynamic gliding method and system based on distributed pressure sensors and segmented attitude control - Google Patents

Dynamic gliding method and system based on distributed pressure sensors and segmented attitude control Download PDF

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WO2023130691A1
WO2023130691A1 PCT/CN2022/103500 CN2022103500W WO2023130691A1 WO 2023130691 A1 WO2023130691 A1 WO 2023130691A1 CN 2022103500 W CN2022103500 W CN 2022103500W WO 2023130691 A1 WO2023130691 A1 WO 2023130691A1
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glider
angle
target
stage
attitude
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PCT/CN2022/103500
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Chinese (zh)
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谢芳芳
季廷炜
王丹翔
陆宇峰
郑耀
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浙江大学
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B13/00Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
    • G05B13/02Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
    • G05B13/04Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric involving the use of models or simulators
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T90/00Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation

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  • the invention relates to a dynamic gliding method and system based on distributed pressure sensors and segmented attitude control.
  • the wind information at the current position can be estimated in real time more accurately, and the unmanned aerial vehicle can obtain sufficient wind information.
  • Energy to maintain flight belongs to the field of wind field information perception and wind energy utilization on UAVs.
  • small UAVs Due to its low cost and convenient transportation and operation, small UAVs are widely used in areas such as area search, environmental monitoring, agricultural plant protection, and aerial photography.
  • long-duration endurance for small drones remains a challenge due to limited battery capacity.
  • fixed-wing UAVs have higher energy efficiency and longer endurance, and have the potential to improve performance, such as using thin-film solar cells to absorb solar energy or adjusting attitude to harness wind energy.
  • Albatrosses who are good at flying in nature, use wind energy by adjusting their attitude up and down through the wind shear layer. This dynamic gliding action can be applied to the design of long-endurance drones.
  • a key issue in realizing dynamic gliding is the acquisition of real-time wind field information.
  • the wind speed is estimated mainly through the inertial sensor (measurement of ground speed) and pitot tube and wind vane (measurement of air speed), but the conventional pitot tube and wind vane It will affect the aerodynamic shape of the UAV and affect the aerodynamic performance, and only the average value can be obtained, and the dynamic (pulsating wind) information of the local flow cannot be captured, and the dynamic gliding action is easily affected by the aerodynamic performance and pulsating wind.
  • Speed sensors may degrade the actual performance of dynamic glides.
  • Another key issue to realize dynamic gliding is the control of dynamic gliding action.
  • the method of trajectory optimization and path following control is mainly used to simulate dynamic gliding action.
  • This method regards the control of dynamic gliding as a nonlinear programming problem. Optimize the entire trajectory in one cycle, and control the UAV to follow the optimal trajectory optimized before.
  • this method can fly a similar trajectory, the actual capacitation will be obvious due to incorrect attitude. The problem of being less than the expected value may make the benefits of dynamic gliding actions not as good as the conventional cruising mode.
  • the purpose of the present invention is to address the limitations of the existing airspeed sensor that can affect the aerodynamic shape of the UAV and cannot capture dynamic flow information, and the shortcomings of the dynamic gliding method through trajectory optimization and path following control.
  • the present invention Compared with the albatross dynamic gliding method and system of segmented attitude control, compared with the traditional method, the present invention has a higher estimation accuracy of airspeed, and will not affect the aerodynamic shape of the UAV, so that the UAV can obtain enough energy To keep flying, there will be no obvious shortage of energy gain.
  • a dynamic gliding method based on distributed pressure sensors and segmented attitude control includes P1: headwind climbing stage, P2: high-altitude turning transition stage, P3: downwind diving stage, P4: low-altitude turning transition stage, P5 : Level flight stage along the target direction; the specific method is:
  • Real-time acquisition of the current state parameters of the glider including: the current coordinates of the glider, height h, heading angle ⁇ , pitch angle ⁇ , roll angle ⁇ , pressure data of multiple distributed pressure sensors arranged on the surface of the glider wing, and inertial sensor measurement
  • ⁇ ′ w ((W ix ′) t -(W ix ′) t-1 )/(h t -h t-1 )
  • the subscript t is the current moment
  • the subscript t-1 is the previous moment
  • W ix ′ is the wind speed of the x i direction component.
  • the target attitude includes heading angle, pitch angle, roll angle and sideslip angle, where:
  • the climb angle ⁇ of the optimized track is obtained, and the remaining target attitudes are the set values:
  • e is the Oswald factor
  • S is the reference area of the wing
  • is the density of the air
  • CD0 is the zero-lift drag coefficient
  • AR is the aspect ratio of the aircraft
  • S ( ) and C ( ) represent sin( ) and cos( ⁇ )
  • is the climb angle of the track
  • is the azimuth of the track
  • g is the acceleration of gravity
  • m is the mass of the glider.
  • the target roll angles ⁇ d2 and ⁇ d4 for phase P2 and phase P4 are maximized by maximizing the turning efficiency
  • the remaining target poses are the set values:
  • the target heading angle ⁇ d5 in stage P5 adopts the carrot-chasing two-dimensional path following algorithm, and is derived from the geometric relationship between the current coordinates of the glider and the path to be followed, and the remaining target attitudes are set values.
  • the current attitude of the glider is controlled to be close to the target attitude, and the segmented attitude control is completed.
  • the distance between the plurality of distributed pressure sensors arranged on the surface of the wing of the glider is greater than 0.06c, where c is the average chord length of the wing.
  • the positions of the multiple distributed pressure sensors arranged on the surface of the glider wing are determined by the following method:
  • the pressure data of multiple coordinate points distributed on the surface of the wing corresponding to the different flow conditions are extracted to form the pressure data set X .
  • Dimensionality reduction is performed on the pressure data set X by the POD algorithm, and then by the sensor position and modality information Items undergo QR decomposition, where is the POD modal matrix after dimensionality reduction, and the measurement matrix C o that is dominant for the data set X is selected.
  • the position information of the sensor contained in the measurement matrix C o is the determined multiple distributed pressures arranged on the surface of the glider wing The location of the sensor.
  • neural network model is obtained by training as follows:
  • the time-varying pressure data of multiple distributed pressure sensors arranged on the surface of the glider wing corresponding to different flow conditions are extracted and obtained form the training data set.
  • Construct the neural network model use the training data set, take the pressure data of multiple distributed pressure sensors arranged on the surface of the glider wing as input, the Reynolds number prediction value Re' and the angle of attack prediction value ⁇ ' as output, until the output prediction The value and the true value loss function converge, and the training obtains the neural network model.
  • the neural network model is a BP neural network or a convolutional neural network.
  • a dynamic gliding simulation system for a glider comprising:
  • the data acquisition module is used to obtain the current state parameters of the glider in real time, including: the current coordinates of the glider, the height h, the heading angle ⁇ , the pitch angle ⁇ , the roll angle ⁇ , and the parameters of multiple distributed pressure sensors arranged on the surface of the glider wing
  • the trained neural network model is used to input the obtained pressure data (average value within a certain period of time), and output the predicted Reynolds number Re' and angle of attack predicted value ⁇ ' of the current glider.
  • the wind speed gradient estimator is used to calculate and obtain the wind speed gradient of the x i direction component in the ground coordinate system by combining the Reynolds number predicted value Re′, the airspeed predicted value V′ a , the ground speed V d , the sideslip angle ⁇ and the real-time height h Estimated value ⁇ ′ w .
  • the target attitude solver is used to solve the target attitude of each stage in real time through the derivation of the motion equation and the carrot-chasing path following algorithm combined with the estimated value ⁇ ′ w of the wind speed gradient.
  • the target attitude includes heading angle, pitch angle, roll angle and sideslip angle, where:
  • the climb angle ⁇ of the optimized track is obtained, and the remaining target attitudes are the set values:
  • e is the Oswald factor
  • S is the reference area of the wing
  • is the density of the air
  • CD0 is the zero-lift drag coefficient
  • AR is the aspect ratio of the aircraft
  • S ( ) and C ( ) represent sin( ) and cos( ⁇ )
  • is the climb angle of the track
  • is the azimuth of the track
  • g is the acceleration of gravity
  • m is the mass of the glider.
  • the target roll angles ⁇ d2 and ⁇ d4 for phase P2 and phase P4 are maximized by maximizing the turning efficiency
  • the remaining target poses are the set values:
  • the target heading angle ⁇ d5 in stage P5 adopts the carrot-chasing two-dimensional path following algorithm, and is derived from the geometric relationship between the current coordinates of the glider and the path to be followed, and the remaining target attitudes are set values.
  • the controller controls the current attitude of the glider to approach the target attitude.
  • the airfoil surface pressure data is reduced in dimension, and the position of the sparse sensor is selected through QR decomposition to obtain the optimal distributed pressure sensor position, and the sensor position can be selected without relying on experience.
  • the distributed pressure sensor is applied to the dynamic gliding process, and the BP neural network model trained offline is used to estimate the airspeed in real time, which can reduce the influence of the sensor on the aerodynamic shape of the UAV, and can capture the surrounding dynamic flow information , which is suitable for complex operations such as dynamic gliding of UAVs.
  • Fig. 1 is a flow chart of the present invention
  • Figure 2 is the location of the optimized distributed pressure sensor and the corresponding pressure distribution diagram
  • Figure 3 is a BP neural network structure diagram for estimating flow conditions
  • Figure 4 is a schematic diagram of the track coordinate system
  • Fig. 5 is the structural diagram of the dynamic gliding subsection attitude control system of unpowered glider
  • Fig. 6 is a schematic diagram of dynamic gliding segmentation attitude control and stage switching logic
  • Fig. 7 is a schematic diagram of a dynamic gliding trajectory of a cycle in the test example
  • Fig. 8 is a diagram of energy changes in the simulated dynamic gliding process provided by the present invention.
  • Fig. 9 is a diagram of wind speed estimation results in the simulated dynamic gliding process provided by the present invention.
  • Fig. 10 is a graph of wind gradient estimation results in the simulated dynamic gliding process provided by the present invention.
  • the embodiment of the present invention adopts the glider of large aspect ratio as object, adopts straight wing, and airfoil is NACA 4412, and the relevant parameter of glider is as shown in table 1 below:
  • x b , y b , and z b are three coordinate axes on the fuselage coordinate system.
  • the CFD numerical simulation example is the two-dimensional flow field around the NACA 4412 airfoil under the Reynolds number from 0.82e5 to 3.26e5 and the angle of attack from 0° to 22°, extracting 400 coordinate points uniformly distributed on the airfoil surface
  • the pressure data as the surface pressure distribution of the airfoil, provides a data set for the selection of the sensor position and the training of the neural network model.
  • Fig. 1 is a flow chart of a dynamic gliding simulation method based on distributed pressure sensors and segmented attitude control provided by the present invention. As shown in Fig. 1, the method proposed by the present invention specifically includes:
  • the CFD numerical simulation of the two-dimensional flow field around the NACA4412 airfoil under different flow conditions (0.82e5 ⁇ Re ⁇ 3.26e5, 0° ⁇ 22°) was carried out through the Openfoam program, and the SA model in the RANS turbulence model was used to solve the problem
  • the pressure data set X, the pressure data set X is a two-dimensional matrix, wherein the number of rows represents the number of coordinate points, and the number of columns represents the number of time slices.
  • the data set X can be dimensionally reduced by the POD algorithm to obtain a low-dimensional representation of the data set X, that is, the POD modal matrix and the corresponding POD coefficient matrix a k , where k represents the number of modes; then by using the sensor position and mode information Items are QR decomposed, and the measurement matrix C o that is dominant for the data set X is selected;
  • ⁇ + is the pseudo-inverse of matrix ⁇
  • M is the number of sensors.
  • the optimal pressure sensor position C o is to reconstruct the state The position closest to the real state X, then optimize the inverse of ⁇ to obtain the position C o of the pressure sensor:
  • det(M C ) represents the determinant of the computation matrix M C .
  • the positions of the distributed pressure sensors optimized in this embodiment and the corresponding pressure distribution are shown in Figure 2.
  • the number of sensors obtained in this embodiment is 11, which are mainly distributed on the upper surface of the airfoil, and the distance between adjacent sensors is greater than or equal to The minimum spacing is 0.06c.
  • the neural network model can be a conventional neural network model
  • the present embodiment is a BP neural network model
  • the structure of the BP neural network model is divided into three layers: input layer, hidden layer and output layer ,As shown in Figure 3.
  • the input in the input layer is the distributed pressure sensor measurement value pressure data (the mean value that each sensor measures in a period of time, the mean value of all time slices is taken in this embodiment), and the hyperbolic tangent sigmoid function is used as activation in the hidden layer Function
  • the output in the output layer is the predicted value of Reynolds number Re and angle of attack ⁇ of flow conditions.
  • the present embodiment is provided with two hidden layers, and the number of neurons of each layer is set (in this embodiment, the input layer is 11, the two hidden layers are respectively 11 and 11, and the output layer is 2), using trainbr
  • the Bayesian regularization method is used as the backpropagation algorithm, and the optimizer learning rate is 0.001.
  • x i y i z i represents the ground coordinate system
  • S ( ) and C ( ) represent sin ( ) and cos ( )
  • L and D are lift and drag
  • V a is airspeed
  • is airspeed where m is the mass of the unpowered glider
  • g is the gravitational acceleration
  • h is the real-time height of the unpowered glider
  • is the climb angle of the track
  • is the aerodynamic roll angle
  • the total energy of the glider in the track coordinate system is defined as The total energy E is derived with respect to time t:
  • -DV a is the item of resistance consumption
  • -mV a 2 ⁇ w S ⁇ C ⁇ C ⁇ must be is greater than 0, and the wind gradient ⁇ w >0, then S ⁇ C ⁇ C ⁇ must be less than 0.
  • the present invention is based on the dynamic gliding method of distributed pressure sensors and segmented attitude control, that is, the online control stage is specifically:
  • Real-time acquisition of the current state parameters of the glider including: the current coordinates of the glider, height h, heading angle ⁇ , pitch angle ⁇ , roll angle ⁇ , pressure data of multiple distributed pressure sensors arranged on the surface of the glider wing, and inertial sensor measurement
  • the target attitude of each stage is solved in real time.
  • the target attitude includes heading angle, pitch angle, roll angle and sideslip angle.
  • the dynamic gliding segmentation attitude control system (as shown in Figure 5) of a unpowered glider has been built, and this system comprises wind velocity field simulator, six degrees of freedom unpowered Glider model, PID controller set, target attitude solver. Among them, the six-degree-of-freedom unpowered glider model is obtained from the Aerosim module.
  • the input of the glider model is the wind speed field and the control surface commands (aileron, flap, elevator, rudder), and the output is the current state of the glider, including the real-time height h of the glider , speed, acceleration, airspeed, etc., and further obtain the current attitude of the glider: heading angle ⁇ , pitch angle ⁇ , roll angle ⁇ , sideslip angle ⁇ .
  • the trajectory of a dynamic gliding cycle is divided into 5 segments: P1 upwind climb, P2 high-altitude turn transition, P3 downwind dive, P4 low-altitude turn transition, P5 level flight along the target direction, UAV climbs against the wind (P1) and under the downwind Energy is obtained from the wind field when diving (P3), and the extra energy is used for energy consumption in the turning transition process (P2, P3) and the peaceful flight process (P5).
  • stage P1 switches to stage P2
  • stage P3 switches to stage P4
  • stage P4 switches to stage P5; It is to enter the next P1 to obtain energy.
  • h max and h min are the set maximum altitude and minimum altitude respectively
  • ⁇ d1 is the target heading angle of stage P1
  • ⁇ d3 is the target heading angle of stage P3, and ⁇ d5 is the target heading angle of stage P5.
  • E 0 is the initial total energy.
  • the target attitude of each segment is solved by the motion equation derivation and carrot-chasing path following algorithm, and then the current attitude of the glider is controlled to approach the target attitude through the PID controller group, as shown in Figure 6.
  • the wind speed V wx ′ is numerically differentiated together with the real-time height h of the glider to obtain the estimated wind gradient ⁇ ′ w :
  • the subscript t is the current moment, and the subscript t-1 represents the previous moment.
  • ⁇ opt1 represents the track climb angle obtained by maximizing the gradient optimization of energy relative to height in stage P1
  • ⁇ opt3 represents the path climb angle obtained by maximizing the gradient optimization of energy relative to height in stage P3
  • e is the Oswald factor
  • S is the reference area of the wing
  • is the density of the air
  • CD0 is the zero-lift drag coefficient
  • the target roll angles ⁇ d2 and ⁇ d4 in phases P2 and P4 are maximized by maximizing the turning efficiency
  • the rest of the target postures are set values based on experience (as shown in Figure 6):
  • S ⁇ is a function of ⁇ .
  • CL max the maximum lift coefficient
  • n max the fitting curve obtains the optimal roll angle related to the airspeed.
  • the fitting curve is
  • the heading angle ⁇ d5 in stage P5 is derived from the geometric relationship between the current coordinates of the UAV and the path to be followed by using the carrot-chasing two-dimensional path following algorithm, and the rest of the target attitudes are set values based on experience.
  • This embodiment uses the current airspeed and angle of attack state of the glider and the obtained pressure data under different airspeed and angle of attack conditions to interpolate the current pressure data of the glider as the pressure data at the current moment of the glider for online simulation.
  • the unpowered glider can obtain enough energy from the wind field when climbing against the wind (P1) and diving with the wind (P3), and the excess energy is used in turning (P2, P4) and flying peacefully (P5). consumed during the process, as shown in Figure 8.
  • the wind speed estimation results shown in Figure 9 it can be seen that the estimated wind speed profile is basically consistent with the real wind speed profile in most of the time, and there will be a small amount of error when switching stages, but the overall root mean square error of the wind speed remains at 0.5m Within /s.
  • the numerical differentiation method used in the estimation will bring a time delay of 0.22s.
  • Figure 10 shows the estimation of the wind gradient after removing the time delay.
  • the present invention also provides an embodiment of a dynamic gliding simulation system for a glider.
  • a dynamic gliding simulation system for a glider provided by an embodiment of the present invention includes one or more processors for implementing the dynamic gliding method based on distributed pressure sensors and segmented attitude control in the above embodiments.
  • the embodiment of the glider dynamic gliding simulation system of the present invention can be applied to any device with data processing capability, and any device with data processing capability can be a device or device such as a computer.
  • a dynamic gliding simulation system for a glider includes:
  • the data acquisition module is used to obtain the current state parameters of the glider in real time, including: the current coordinates of the glider, the height h, the heading angle ⁇ , the pitch angle ⁇ , the roll angle ⁇ , and the parameters of multiple distributed pressure sensors arranged on the surface of the glider wing
  • the trained neural network model is used to input the obtained pressure data (average value within a certain period of time), and output the predicted Reynolds number Re' and angle of attack predicted value ⁇ ' of the current glider.
  • the wind speed gradient estimator is used to calculate and obtain the wind speed gradient of the x i direction component in the ground coordinate system by combining the Reynolds number predicted value Re′, the airspeed predicted value V′ a , the ground speed V d , the sideslip angle ⁇ and the real-time height h Estimated value ⁇ ′ w .
  • the target attitude solver is used to solve the target attitude of each stage in real time through the derivation of the motion equation and the carrot-chasing path following algorithm combined with the estimated value ⁇ ′ w of the wind speed gradient.
  • the target attitude includes heading angle, pitch angle, roll angle and sideslip angle, where:
  • the climb angle ⁇ of the optimized track is obtained, and the remaining target attitudes are the set values:
  • e is the Oswald factor
  • S is the reference area of the wing
  • is the density of the air
  • CD0 is the zero-lift drag coefficient
  • AR is the aspect ratio of the aircraft
  • S ( ) and C ( ) represent sin( ) and cos( ⁇ )
  • is the climb angle of the track
  • is the azimuth of the track
  • g is the acceleration of gravity
  • m is the mass of the glider.
  • the target roll angles ⁇ d2 and ⁇ d4 for phase P2 and phase P4 are maximized by maximizing the turning efficiency
  • the remaining target poses are the set values:
  • the target heading angle ⁇ d5 in stage P5 adopts the carrot-chasing two-dimensional path following algorithm, and is derived from the geometric relationship between the current coordinates of the glider and the path to be followed, and the remaining target attitudes are set values.
  • the controller controls the current attitude of the glider to approach the target attitude.

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Abstract

A dynamic gliding method and system based on distributed pressure sensors and segmented attitude control. The method comprises: acquiring the current state parameters of a glider in real time; by using a trained neural network, obtaining a nonlinear relationship between a surface pressure and a flow working condition, obtaining the current predicted value of a Reynolds number and the current predicted value of the angle of attack of the glider, and then obtaining an estimated value of a wind speed gradient; solving a target attitude of each phase in real time by performing derivation by means of a motion equation, by using a path chasing algorithm, i.e. carrot-chasing, and in combination with the estimated value of the wind speed gradient; and finally, controlling the current attitude of the glider to get close to a target attitude, so as to complete segmented attitude control. By means of the dynamic gliding segmented attitude control system, an unmanned aerial vehicle acquiring energy from wind shear is stimulated. The method is easily implemented and can be widely applied to the utilization of wind power of an unmanned aerial vehicle during wind shearing. The precision of estimation over wind is high, and an unmanned aerial vehicle can obtain sufficient energy to keep flying.

Description

一种基于分布式压力传感器与分段姿态控制的动态滑翔方法及系统A dynamic gliding method and system based on distributed pressure sensors and segmented attitude control 技术领域technical field
本发明涉及一种基于分布式压力传感器与分段姿态控制的动态滑翔方法及系统,在仿真环境中,可以较精确地实时估算当前位置点处的风信息,且能够让无人机获得足够的能量来保持飞行,属于无人机上的风场信息感知与风能利用领域。The invention relates to a dynamic gliding method and system based on distributed pressure sensors and segmented attitude control. In the simulation environment, the wind information at the current position can be estimated in real time more accurately, and the unmanned aerial vehicle can obtain sufficient wind information. Energy to maintain flight belongs to the field of wind field information perception and wind energy utilization on UAVs.
背景技术Background technique
小型无人机因其成本低、运输操作方便等特点,被广泛应用于区域搜索、环境监测、农业植保、航拍等领域。然而,由于电池容量有限,小型无人机的长时间续航能力仍然是一个挑战。与旋翼无人机相比,固定翼无人机具有更高的能效和更长的续航时间,具有提升性能的潜力,例如使用薄膜太阳能电池吸收太阳能或通过调节姿态来利用风能。自然界中擅长飞行的信天翁便是通过调节姿态上下穿越风切变层来利用风能,这种动态滑翔的动作可以应用在长航时无人机的设计当中。Due to its low cost and convenient transportation and operation, small UAVs are widely used in areas such as area search, environmental monitoring, agricultural plant protection, and aerial photography. However, long-duration endurance for small drones remains a challenge due to limited battery capacity. Compared with rotary-wing UAVs, fixed-wing UAVs have higher energy efficiency and longer endurance, and have the potential to improve performance, such as using thin-film solar cells to absorb solar energy or adjusting attitude to harness wind energy. Albatrosses, who are good at flying in nature, use wind energy by adjusting their attitude up and down through the wind shear layer. This dynamic gliding action can be applied to the design of long-endurance drones.
其中,实现动态滑翔的一个关键问题是实时风场信息的获取,目前,主要是通过惯性传感器(测量地速)与皮托管和风向标(测量空速)来推算风速,但常规的皮托管和风向标会影响无人机气动外形从而影响气动性能,且只能得到平均数值,无法捕捉局部流动的动态(脉动风)信息,而动态滑翔动作又容易受到气动性能和脉动风的影响,因此常规的空速传感器可能会降低动态滑翔的实际性能。实现动态滑翔的另一个关键问题是动态滑翔动作的控制,目前,主要是用轨迹优化和路径跟随控制的方法来模拟动态滑翔动作,这种方法将动态滑翔的控制看作一个非线性规划问题,对一个周期内的整个轨迹进行优化,并控制无人机跟随之前优化出的最优轨迹,然而,这种方法虽然能飞出相似的轨迹,但会出现由于姿态不正确而导致实际获能明显小于预期值的问题,使得动态滑翔动作的收益可能反而不如常规巡航的模式。Among them, a key issue in realizing dynamic gliding is the acquisition of real-time wind field information. At present, the wind speed is estimated mainly through the inertial sensor (measurement of ground speed) and pitot tube and wind vane (measurement of air speed), but the conventional pitot tube and wind vane It will affect the aerodynamic shape of the UAV and affect the aerodynamic performance, and only the average value can be obtained, and the dynamic (pulsating wind) information of the local flow cannot be captured, and the dynamic gliding action is easily affected by the aerodynamic performance and pulsating wind. Speed sensors may degrade the actual performance of dynamic glides. Another key issue to realize dynamic gliding is the control of dynamic gliding action. At present, the method of trajectory optimization and path following control is mainly used to simulate dynamic gliding action. This method regards the control of dynamic gliding as a nonlinear programming problem. Optimize the entire trajectory in one cycle, and control the UAV to follow the optimal trajectory optimized before. However, although this method can fly a similar trajectory, the actual capacitation will be obvious due to incorrect attitude. The problem of being less than the expected value may make the benefits of dynamic gliding actions not as good as the conventional cruising mode.
发明内容Contents of the invention
本发明的目的在于针对现有空速传感器会影响无人机气动外形和无法捕捉动态流动信息的局限性,以及通过轨迹优化和路径跟随控制动态滑翔方法的不足,提出一种基于分布式压力传感器与分段姿态控制的仿信天翁动态滑翔方法及系统,与传统方法相比,本发明对空速的估算精度较高,且不会影响无人机气动外形,能够让无人机获得足够的能量来保持飞行,不会出现获能收益明显不足的情况。The purpose of the present invention is to address the limitations of the existing airspeed sensor that can affect the aerodynamic shape of the UAV and cannot capture dynamic flow information, and the shortcomings of the dynamic gliding method through trajectory optimization and path following control. Compared with the albatross dynamic gliding method and system of segmented attitude control, compared with the traditional method, the present invention has a higher estimation accuracy of airspeed, and will not affect the aerodynamic shape of the UAV, so that the UAV can obtain enough energy To keep flying, there will be no obvious shortage of energy gain.
本发明的目的是通过以下技术方案来实现的:The purpose of the present invention is achieved through the following technical solutions:
一种基于分布式压力传感器与分段姿态控制的动态滑翔方法,所述动态滑翔包括P1:逆风爬升阶段、P2:高空转弯过渡阶段、P3:顺风下潜阶段、P4:低空转弯过渡阶段、P5:沿目标方向平飞阶段;该方法具体为:A dynamic gliding method based on distributed pressure sensors and segmented attitude control, the dynamic gliding includes P1: headwind climbing stage, P2: high-altitude turning transition stage, P3: downwind diving stage, P4: low-altitude turning transition stage, P5 : Level flight stage along the target direction; the specific method is:
实时获取滑翔机的当前状态参数,包括:滑翔机的当前坐标、高度h、航向角ψ、俯仰角θ、滚转角μ、布置于滑翔机机翼表面的多个分布式压力传感器的压力数据、惯性传感器测量的地速V d、侧滑角传感器测量的侧滑角β。 Real-time acquisition of the current state parameters of the glider, including: the current coordinates of the glider, height h, heading angle ψ, pitch angle θ, roll angle μ, pressure data of multiple distributed pressure sensors arranged on the surface of the glider wing, and inertial sensor measurement The ground speed V d and the side slip angle β measured by the side slip angle sensor.
将获取的压力数据(一定时间段内的均值)输入至一训练好的神经网络模型,获得当前滑翔机的雷诺数预测值Re′和迎角预测值α′;并依据雷诺数预测值Re′计算获得空速预测值V′ a;结合空速预测值V′ a、地速V d、侧滑角β和实时高度h计算获得地面坐标系中x i方向分量的风速梯度的估算值β′ wInput the acquired pressure data (average value within a certain period of time) into a trained neural network model to obtain the predicted Reynolds number Re' and the predicted angle of attack α' of the current glider; and calculate according to the predicted Reynolds number Re' Obtain the predicted value of airspeed V′ a ; combine the predicted value of airspeed V′ a , ground speed V d , sideslip angle β and real-time height h to calculate and obtain the estimated value β′ w of the wind speed gradient of the x i direction component in the ground coordinate system :
β′ w=((W ix′) t-(W ix′) t-1)/(h t-h t-1) β′ w =((W ix ′) t -(W ix ′) t-1 )/(h t -h t-1 )
W ix′=V d-V′ acosα′cosβ W ix '=V d -V' a cosα'cosβ
其中,下标t为当前时刻,下标t-1表示为上一个时刻,W ix′是x i方向分量的风速。 Wherein, the subscript t is the current moment, the subscript t-1 is the previous moment, and W ix ′ is the wind speed of the x i direction component.
通过运动方程推导和carrot-chasing路径跟随算法结合风速梯度的估算值β′ w实时求解每一阶段的目标姿态,目标姿态包括航向角、俯仰角、滚转角和侧滑角,其中: Through the derivation of the motion equation and the carrot-chasing path following algorithm combined with the estimated value of the wind speed gradient β′w , the target attitude of each stage is solved in real time. The target attitude includes heading angle, pitch angle, roll angle and sideslip angle, where:
阶段P1和阶段P3为稳定爬升或稳定下潜,目标滚转角μ d1=0和μ d3=0,目标航向角ψ d1=π-ψ d3,阶段P1的目标俯仰角θ d1和阶段P3的目标俯仰角θ d3通过最大化能量相对于高度的梯度
Figure PCTCN2022103500-appb-000001
优化航迹爬升角γ获得,其余目标姿态为设定值:
Stage P1 and stage P3 are steady climbing or steady diving, target roll angle μ d1 = 0 and μ d3 = 0, target heading angle ψ d1 = π-ψ d3 , target pitch angle θ d1 of stage P1 and target of stage P3 Pitch angle θd3 is obtained by maximizing the gradient of energy with respect to altitude
Figure PCTCN2022103500-appb-000001
The climb angle γ of the optimized track is obtained, and the remaining target attitudes are the set values:
Figure PCTCN2022103500-appb-000002
Figure PCTCN2022103500-appb-000002
其中,e是Oswald因子,S是机翼的参考面积,ρ是空气的密度,CD0是零升阻力系数,AR是飞机的展弦比,S (·)和C (·)表示sin(·)和cos(·),γ是航迹爬升角,χ是航迹方位角,g为重力加速度,m为滑翔机的质量。 where, e is the Oswald factor, S is the reference area of the wing, ρ is the density of the air, CD0 is the zero-lift drag coefficient, AR is the aspect ratio of the aircraft, S ( ) and C ( ) represent sin( ) and cos(·), γ is the climb angle of the track, χ is the azimuth of the track, g is the acceleration of gravity, and m is the mass of the glider.
阶段P2和阶段P4的目标滚转角μ d2和μ d4通过最大化转弯效率
Figure PCTCN2022103500-appb-000003
进行优化,其余目标姿态为设定值:
The target roll angles μ d2 and μ d4 for phase P2 and phase P4 are maximized by maximizing the turning efficiency
Figure PCTCN2022103500-appb-000003
To optimize, the remaining target poses are the set values:
Figure PCTCN2022103500-appb-000004
Figure PCTCN2022103500-appb-000004
阶段P5中的目标航向角ψ d5采用carrot-chasing二维路径跟随算法,通过滑翔机当前坐标和要跟随的路径之间的几何关系推导得到,其余目标姿态为设定值。 The target heading angle ψ d5 in stage P5 adopts the carrot-chasing two-dimensional path following algorithm, and is derived from the geometric relationship between the current coordinates of the glider and the path to be followed, and the remaining target attitudes are set values.
控制滑翔机的当前姿态接近目标姿态,完成分段姿态控制。The current attitude of the glider is controlled to be close to the target attitude, and the segmented attitude control is completed.
进一步地,布置于滑翔机机翼表面的多个分布式压力传感器相互之间的间距大于0.06c,c是机翼平均弦长。Further, the distance between the plurality of distributed pressure sensors arranged on the surface of the wing of the glider is greater than 0.06c, where c is the average chord length of the wing.
进一步地,布置于滑翔机机翼表面的多个分布式压力传感器的位置通过如下方法进行确定:Further, the positions of the multiple distributed pressure sensors arranged on the surface of the glider wing are determined by the following method:
通过CFD数值模拟不同流动工况下的滑翔机机翼的二维绕流流场,提取获得不同流动工况下对应的机翼表面分布的多个坐标点随时间变化的压力数据构成压力数据集X。Through the CFD numerical simulation of the two-dimensional flow field around the wing of the glider under different flow conditions, the pressure data of multiple coordinate points distributed on the surface of the wing corresponding to the different flow conditions are extracted to form the pressure data set X .
采用测量矩阵C表示分布式压力传感器的位置信息,则M个分布式压力传感器的测量数据Y={y i},i=1,2,…,M与数据集X的关系表示为Y=CX。 Using the measurement matrix C to represent the location information of the distributed pressure sensors, the relationship between the measurement data Y={y i }, i=1,2,...,M and the data set X of the M distributed pressure sensors is expressed as Y=CX .
通过POD算法对压力数据集X进行降维,然后通过对带有传感器位置和模态信息的
Figure PCTCN2022103500-appb-000005
项进行QR分解,其中
Figure PCTCN2022103500-appb-000006
为降维后的POD模态矩阵,挑选出对于数据集X占优的测量矩阵C o,测量矩阵C o包含的传感器的位置信息即为确定的布置于滑翔机机翼表面的多个分布式压力传感器的位置。
Dimensionality reduction is performed on the pressure data set X by the POD algorithm, and then by the sensor position and modality information
Figure PCTCN2022103500-appb-000005
Items undergo QR decomposition, where
Figure PCTCN2022103500-appb-000006
is the POD modal matrix after dimensionality reduction, and the measurement matrix C o that is dominant for the data set X is selected. The position information of the sensor contained in the measurement matrix C o is the determined multiple distributed pressures arranged on the surface of the glider wing The location of the sensor.
进一步地,所述神经网络模型通过如下方法训练获得:Further, the neural network model is obtained by training as follows:
通过CFD数值模拟不同流动工况下的滑翔机机翼的二维绕流流场,提取获得不同流动工况下对应的布置于滑翔机机翼表面的多个分布式压力传感器的随时间变化的压力数据构成训练数据集。Through CFD numerical simulation of the two-dimensional flow field around the glider wing under different flow conditions, the time-varying pressure data of multiple distributed pressure sensors arranged on the surface of the glider wing corresponding to different flow conditions are extracted and obtained form the training data set.
构建神经网络模型,利用训练数据集,以布置于滑翔机机翼表面的多个分布式压力传感器的压力数据作为输入,雷诺数预测值Re′和迎角预测值α′作为输出,直至输出的预测值与真值损失函数收敛,训练获得神经网络模型。Construct the neural network model, use the training data set, take the pressure data of multiple distributed pressure sensors arranged on the surface of the glider wing as input, the Reynolds number prediction value Re' and the angle of attack prediction value α' as output, until the output prediction The value and the true value loss function converge, and the training obtains the neural network model.
进一步地,所述神经网络模型为BP神经网络、卷积神经网络。Further, the neural network model is a BP neural network or a convolutional neural network.
一种滑翔机的动态滑翔模拟系统,包括:A dynamic gliding simulation system for a glider, comprising:
数据获取模块,用于实时获取滑翔机的当前状态参数,包括:滑翔机的当前坐标、高度h、航向角ψ、俯仰角θ、滚转角μ、布置于滑翔机机翼表面的多个分布式压力传感器的压力数据、惯性传感器测量的地速V d、侧滑角传感器测量的侧滑角β。 The data acquisition module is used to obtain the current state parameters of the glider in real time, including: the current coordinates of the glider, the height h, the heading angle ψ, the pitch angle θ, the roll angle μ, and the parameters of multiple distributed pressure sensors arranged on the surface of the glider wing The pressure data, the ground speed V d measured by the inertial sensor, and the side slip angle β measured by the side slip angle sensor.
训练好的神经网络模型,用于输入获取的压力数据(一定时间段内的均值),输出获得当前滑翔机的雷诺数预测值Re′和迎角预测值α′。The trained neural network model is used to input the obtained pressure data (average value within a certain period of time), and output the predicted Reynolds number Re' and angle of attack predicted value α' of the current glider.
风速梯度估计器,用于结合雷诺数预测值Re′、空速预测值V′ a、地速V d、侧滑角β和实时高度h计算获得地面坐标系中x i方向分量的风速梯度的估算值β′ wThe wind speed gradient estimator is used to calculate and obtain the wind speed gradient of the x i direction component in the ground coordinate system by combining the Reynolds number predicted value Re′, the airspeed predicted value V′ a , the ground speed V d , the sideslip angle β and the real-time height h Estimated value β′ w .
目标姿态求解器,用于通过运动方程推导和carrot-chasing路径跟随算法结合风速梯度的估算值β′ w实时求解每一阶段的目标姿态,目标姿态包括航向角、俯仰角、滚转角和侧滑角,其中: The target attitude solver is used to solve the target attitude of each stage in real time through the derivation of the motion equation and the carrot-chasing path following algorithm combined with the estimated value β′ w of the wind speed gradient. The target attitude includes heading angle, pitch angle, roll angle and sideslip angle, where:
阶段P1和阶段P3为稳定爬升或稳定下潜,目标滚转角μ d1=0和μ d3=0,目标航向角ψ d1=π-ψ d3,阶段P1的目标俯仰角θ d1和阶段P3的目标俯仰角θ d3通过最大化能量相对于高度的梯度
Figure PCTCN2022103500-appb-000007
优化航迹爬升角γ获得,其余目标姿态为设定值:
Stage P1 and stage P3 are steady climbing or steady diving, target roll angle μ d1 = 0 and μ d3 = 0, target heading angle ψ d1 = π-ψ d3 , target pitch angle θ d1 of stage P1 and target of stage P3 Pitch angle θd3 is obtained by maximizing the gradient of energy with respect to altitude
Figure PCTCN2022103500-appb-000007
The climb angle γ of the optimized track is obtained, and the remaining target attitudes are the set values:
Figure PCTCN2022103500-appb-000008
Figure PCTCN2022103500-appb-000008
其中,e是Oswald因子,S是机翼的参考面积,ρ是空气的密度,CD0是零升阻力系数,AR是飞机的展弦比,S (·)和C (·)表示sin(·)和cos(·),γ是航迹爬升角,χ是航迹方位角,g为重力加速度,m为滑翔机的质量。 where, e is the Oswald factor, S is the reference area of the wing, ρ is the density of the air, CD0 is the zero-lift drag coefficient, AR is the aspect ratio of the aircraft, S ( ) and C ( ) represent sin( ) and cos(·), γ is the climb angle of the track, χ is the azimuth of the track, g is the acceleration of gravity, and m is the mass of the glider.
阶段P2和阶段P4的目标滚转角μ d2和μ d4通过最大化转弯效率
Figure PCTCN2022103500-appb-000009
进行优化,其余目标姿态为设定值:
The target roll angles μ d2 and μ d4 for phase P2 and phase P4 are maximized by maximizing the turning efficiency
Figure PCTCN2022103500-appb-000009
To optimize, the remaining target poses are the set values:
Figure PCTCN2022103500-appb-000010
Figure PCTCN2022103500-appb-000010
阶段P5中的目标航向角ψ d5采用carrot-chasing二维路径跟随算法,通过滑翔机当前坐标和要跟随的路径之间的几何关系推导得到,其余目标姿态为设定值。 The target heading angle ψ d5 in stage P5 adopts the carrot-chasing two-dimensional path following algorithm, and is derived from the geometric relationship between the current coordinates of the glider and the path to be followed, and the remaining target attitudes are set values.
控制器,控制滑翔机的当前姿态接近目标姿态。The controller controls the current attitude of the glider to approach the target attitude.
本发明的有益效果:Beneficial effects of the present invention:
1.通过数据驱动的POD算法,对翼型表面压力数据进行降维,并通过QR分解对稀疏传感器的位置进行选择,得到最优的分布式压力传感器位置,可以不用依靠经验选取传感器位置。1. Through the data-driven POD algorithm, the airfoil surface pressure data is reduced in dimension, and the position of the sparse sensor is selected through QR decomposition to obtain the optimal distributed pressure sensor position, and the sensor position can be selected without relying on experience.
2.将分布式压力传感器应用于动态滑翔过程,通过线下训练好的BP神经网络模型进行空速的实时估算,可以减少传感器对无人机气动外形的影响,并且可以捕捉周围的动态流动信息,适合无人机进行动态滑翔这种复杂操作的情况。2. The distributed pressure sensor is applied to the dynamic gliding process, and the BP neural network model trained offline is used to estimate the airspeed in real time, which can reduce the influence of the sensor on the aerodynamic shape of the UAV, and can capture the surrounding dynamic flow information , which is suitable for complex operations such as dynamic gliding of UAVs.
3.通过将一个周期的动态滑翔轨迹分成几个获能段和耗能段,以及PID控制器组控制滑翔机的当前姿态逼近计算出的目标姿态来实现动态滑翔操作,能够让无人机获得足够的能量来保持飞行,不会出现由于姿态不正确而导致动态滑翔获能收益明显不足的情况。3. By dividing a period of dynamic gliding trajectory into several energy-acquiring segments and energy-consuming segments, and the PID controller group controls the current attitude of the glider to approach the calculated target attitude to achieve dynamic gliding operations, which can allow the UAV to obtain enough energy to maintain flight, and there will be no situation where dynamic gliding energy gain is obviously insufficient due to incorrect attitude.
附图说明Description of drawings
图1是本发明的流程图;Fig. 1 is a flow chart of the present invention;
图2是优化得到的分布式压力传感器位置以及对应的压力分布图;Figure 2 is the location of the optimized distributed pressure sensor and the corresponding pressure distribution diagram;
图3是估算流动工况的BP神经网络结构图;Figure 3 is a BP neural network structure diagram for estimating flow conditions;
图4是航迹坐标系示意图;Figure 4 is a schematic diagram of the track coordinate system;
图5是无动力滑翔机的动态滑翔分段姿态控制系统结构图;Fig. 5 is the structural diagram of the dynamic gliding subsection attitude control system of unpowered glider;
图6是动态滑翔分段姿态控制与阶段切换逻辑示意图;Fig. 6 is a schematic diagram of dynamic gliding segmentation attitude control and stage switching logic;
图7是测试算例中一个周期的动态滑翔轨迹示意图;Fig. 7 is a schematic diagram of a dynamic gliding trajectory of a cycle in the test example;
图8是本发明提供的模拟动态滑翔过程中能量变化图;Fig. 8 is a diagram of energy changes in the simulated dynamic gliding process provided by the present invention;
图9是本发明提供的模拟动态滑翔过程中风速估算结果图;Fig. 9 is a diagram of wind speed estimation results in the simulated dynamic gliding process provided by the present invention;
图10是本发明提供的模拟动态滑翔过程中风梯度估算结果图。Fig. 10 is a graph of wind gradient estimation results in the simulated dynamic gliding process provided by the present invention.
具体实施方式Detailed ways
下面根据附图结合具体实施例详细说明本发明。The present invention will be described in detail below in conjunction with specific embodiments according to the accompanying drawings.
本发明的实施例采用大展弦比的滑翔机作为对象,采用平直翼,翼型为NACA 4412,滑翔机的相关参数如下表1所示:The embodiment of the present invention adopts the glider of large aspect ratio as object, adopts straight wing, and airfoil is NACA 4412, and the relevant parameter of glider is as shown in table 1 below:
表1滑翔机的相关参数Table 1 Relevant parameters of the glider
Figure PCTCN2022103500-appb-000011
Figure PCTCN2022103500-appb-000011
其中,x b、y b、z b是机身坐标系上的3个坐标轴。 Wherein, x b , y b , and z b are three coordinate axes on the fuselage coordinate system.
CFD数值模拟算例是在雷诺数从0.82e5到3.26e5而迎角从0°到22°下的NACA 4412翼型的二维绕流流场,提取翼型表面均匀分布的400个坐标点的压力数据作为翼型的表面压力分布,为传感器位置的选取和神经网络模型的训练提供数据集。The CFD numerical simulation example is the two-dimensional flow field around the NACA 4412 airfoil under the Reynolds number from 0.82e5 to 3.26e5 and the angle of attack from 0° to 22°, extracting 400 coordinate points uniformly distributed on the airfoil surface The pressure data, as the surface pressure distribution of the airfoil, provides a data set for the selection of the sensor position and the training of the neural network model.
图1是本发明提供的一种基于分布式压力传感器与分段姿态控制的动态滑翔模拟方法流程图,如图1所示,本发明提出的方法具体包括:Fig. 1 is a flow chart of a dynamic gliding simulation method based on distributed pressure sensors and segmented attitude control provided by the present invention. As shown in Fig. 1, the method proposed by the present invention specifically includes:
离线训练阶段:Offline training phase:
通过Openfoam程序对不同流动工况(0.82e5≤Re≤3.26e5,0°≤α≤22°)下的 NACA4412翼型二维绕流流场进行CFD数值模拟,采用RANS湍流模型中的S-A模型求解非定常湍流场,提取翼型表面均匀分布的400个坐标点的压力数据,选取时间序列的间隔为Δt=1×10 -2s,一共5000个时间切片,得到不同流动工况的随时间变化的压力数据集X,所述压力数据集X为二维的矩阵,其中行数表示坐标点数量,列数表示时间切片的数量。 The CFD numerical simulation of the two-dimensional flow field around the NACA4412 airfoil under different flow conditions (0.82e5≤Re≤3.26e5, 0°≤α≤22°) was carried out through the Openfoam program, and the SA model in the RANS turbulence model was used to solve the problem For the unsteady turbulent flow field, the pressure data of 400 coordinate points uniformly distributed on the airfoil surface are extracted, and the interval of the time series is selected as Δt=1×10 -2 s, a total of 5000 time slices, and the time-dependent changes of different flow conditions are obtained. The pressure data set X, the pressure data set X is a two-dimensional matrix, wherein the number of rows represents the number of coordinate points, and the number of columns represents the number of time slices.
根据数据集X选择在翼型表面的分布式压力传感器的布置位置:采用测量矩阵C来表示分布式压力传感器的位置信息,则M个分布式压力传感器的测量数据Y={y i},i=1,2,…,M与数据集X的关系可以表示为Y=CX,其中,相邻分布式压力传感器之间的最小间距为0.06c,c是机翼平均弦长,以此来留出足够的空间在测压孔处安装导气管。 According to the data set X, the location of the distributed pressure sensor on the airfoil surface is selected: the measurement matrix C is used to represent the position information of the distributed pressure sensor, then the measurement data of M distributed pressure sensors Y={y i },i =1, 2,..., the relationship between M and data set X can be expressed as Y=CX, where the minimum distance between adjacent distributed pressure sensors is 0.06c, and c is the average chord length of the wing, so as to keep Make enough room to install the airway at the pressure tap.
作为一优选方案,可以通过POD算法对数据集X进行降维,得到该数据集X的低维表示,即POD模态矩阵
Figure PCTCN2022103500-appb-000012
和对应的POD系数矩阵a k,k表示模态数量;然后通过对带有传感器位置和模态信息的
Figure PCTCN2022103500-appb-000013
项进行QR分解,挑选出对于数据集X占优的测量矩阵C o
As a preferred solution, the data set X can be dimensionally reduced by the POD algorithm to obtain a low-dimensional representation of the data set X, that is, the POD modal matrix
Figure PCTCN2022103500-appb-000012
and the corresponding POD coefficient matrix a k , where k represents the number of modes; then by using the sensor position and mode information
Figure PCTCN2022103500-appb-000013
Items are QR decomposed, and the measurement matrix C o that is dominant for the data set X is selected;
具体包括如下子步骤:Specifically include the following sub-steps:
1)将得到的压力数据集X进行奇异值分解,得到左奇异矩阵
Figure PCTCN2022103500-appb-000014
和右奇异矩阵V,以及带有特征值(奇异值)的特征矩阵Σ,并根据奇异值只保留前k个来对数据集X进行降维:
1) Singular value decomposition is performed on the obtained pressure data set X to obtain the left singular matrix
Figure PCTCN2022103500-appb-000014
And the right singular matrix V, and the characteristic matrix Σ with eigenvalues (singular values), and only keep the first k according to the singular values to reduce the dimensionality of the data set X:
Figure PCTCN2022103500-appb-000015
Figure PCTCN2022103500-appb-000015
其中,
Figure PCTCN2022103500-appb-000016
是保留前k个奇异值对应的POD模态矩阵,a k是对应的POD系数矩阵,由正交投影给出:
in,
Figure PCTCN2022103500-appb-000016
is the POD modal matrix corresponding to the first k singular values, and a k is the corresponding POD coefficient matrix, which is given by the orthogonal projection:
Figure PCTCN2022103500-appb-000017
Figure PCTCN2022103500-appb-000017
2)当作为状态的数据集X未知而测量数据Y已知时,通过Moore-Penrose伪逆来近似POD系数
Figure PCTCN2022103500-appb-000018
并重建出状态
Figure PCTCN2022103500-appb-000019
2) When the data set X as the state is unknown and the measurement data Y is known, the POD coefficient is approximated by the Moore-Penrose pseudo-inverse
Figure PCTCN2022103500-appb-000018
and rebuild the state
Figure PCTCN2022103500-appb-000019
Figure PCTCN2022103500-appb-000020
Figure PCTCN2022103500-appb-000020
其中,Θ +为矩阵Θ的伪逆,M为传感器数量。 Among them, Θ + is the pseudo-inverse of matrix Θ, and M is the number of sensors.
3)最佳压力传感器位置C o是重建出状态
Figure PCTCN2022103500-appb-000021
最接近真实状态X的位置,则对Θ的逆进行优化即可获得压力传感器位置C o
3) The optimal pressure sensor position C o is to reconstruct the state
Figure PCTCN2022103500-appb-000021
The position closest to the real state X, then optimize the inverse of Θ to obtain the position C o of the pressure sensor:
C o=argmax|det(M C)|,M C=Θ TΘ C o =argmax|det(M C )|,M C =Θ T Θ
det(M C)表示计算矩阵M C的行列式。 det(M C ) represents the determinant of the computation matrix M C .
本实施例优化得到的分布式压力传感器位置以及对应的压力分布如图2所示,本实施例得到的传感器数量为11个,主要分布在翼型上表面,相邻传感器之间的间距大于等于最小间距0.06c。The positions of the distributed pressure sensors optimized in this embodiment and the corresponding pressure distribution are shown in Figure 2. The number of sensors obtained in this embodiment is 11, which are mainly distributed on the upper surface of the airfoil, and the distance between adjacent sensors is greater than or equal to The minimum spacing is 0.06c.
构建用于估算流动工况的神经网络模型,神经网络模型可以为常规神经网络模型,本实 施例为BP神经网络模型,BP神经网络模型的结构分为三层:输入层、隐藏层和输出层,如图3所示。在输入层中的输入为分布式压力传感器测量值压力数据(一段时间内每个传感器测量的均值,本实施例中取所有时间切片的均值),在隐藏层中采用双曲正切sigmoid函数作为激活函数,在输出层中的输出为流动工况的雷诺数Re和迎角α预测值。本实施例设置两个隐藏层,设置每一层的神经元数目(本实施例中,输入层为11个,两个隐藏层分别为11个和11个,输出层为2个),使用trainbr贝叶斯正则化方法作为反向传播算法,优化器学习率0.001。利用得到的输入、输出数据对BP神经网络模型进行训练,直至输出的预测值与真值损失函数收敛,从而得到训练好的BP神经网络模型。Construct the neural network model for estimating the flow conditions, the neural network model can be a conventional neural network model, the present embodiment is a BP neural network model, and the structure of the BP neural network model is divided into three layers: input layer, hidden layer and output layer ,As shown in Figure 3. The input in the input layer is the distributed pressure sensor measurement value pressure data (the mean value that each sensor measures in a period of time, the mean value of all time slices is taken in this embodiment), and the hyperbolic tangent sigmoid function is used as activation in the hidden layer Function, the output in the output layer is the predicted value of Reynolds number Re and angle of attack α of flow conditions. The present embodiment is provided with two hidden layers, and the number of neurons of each layer is set (in this embodiment, the input layer is 11, the two hidden layers are respectively 11 and 11, and the output layer is 2), using trainbr The Bayesian regularization method is used as the backpropagation algorithm, and the optimizer learning rate is 0.001. Use the obtained input and output data to train the BP neural network model until the output prediction value and the true value loss function converge, so as to obtain the trained BP neural network model.
在线控制阶段:Online control stage:
通过运动方程推导了动态滑翔的获能机理,假设风速向量只考虑x i方向分量W ix,在本实施例中,通过
Figure PCTCN2022103500-appb-000022
来模拟风切变层,参考速度W 0=10m/s,参考高度z 0=10m,厚度参数l=1,h是无动力滑翔机的实时高度,在航迹坐标系中(如图4所示)得到无动力滑翔机六自由度的运动方程:
The energy-capturing mechanism of dynamic gliding is deduced through the equation of motion, assuming that the wind velocity vector only considers the component W ix in the direction of x i , in this embodiment, by
Figure PCTCN2022103500-appb-000022
To simulate the wind shear layer, the reference velocity W 0 =10m/s, the reference height z 0 =10m, the thickness parameter l=1, h is the real-time height of the unpowered glider, in the track coordinate system (as shown in Figure 4 ) to obtain the motion equation of the six degrees of freedom of the unpowered glider:
Figure PCTCN2022103500-appb-000023
Figure PCTCN2022103500-appb-000023
Figure PCTCN2022103500-appb-000024
Figure PCTCN2022103500-appb-000024
Figure PCTCN2022103500-appb-000025
Figure PCTCN2022103500-appb-000025
Figure PCTCN2022103500-appb-000026
Figure PCTCN2022103500-appb-000026
Figure PCTCN2022103500-appb-000027
Figure PCTCN2022103500-appb-000027
Figure PCTCN2022103500-appb-000028
Figure PCTCN2022103500-appb-000028
其中,x iy iz i表示地面坐标系,S (·)和C (·)表示sin(·)和cos(·),L和D是升力和阻力,V a是空速,χ是航迹方位角,m为无动力滑翔机的质量,g为重力加速度,h是无动力滑翔机的实时高度,γ是航迹爬升角,μ是气动滚转角;
Figure PCTCN2022103500-appb-000029
分别表示V a、χ、γ、滑翔机在x i、y i、z i方向位移对时间的导数。滑翔机在航迹坐标系中的总能量定义为
Figure PCTCN2022103500-appb-000030
总能量E对时间t求导:
Among them, x i y i z i represents the ground coordinate system, S ( ) and C ( ) represent sin ( ) and cos ( ), L and D are lift and drag, V a is airspeed, χ is airspeed where m is the mass of the unpowered glider, g is the gravitational acceleration, h is the real-time height of the unpowered glider, γ is the climb angle of the track, and μ is the aerodynamic roll angle;
Figure PCTCN2022103500-appb-000029
Respectively represent V a , χ, γ, and the time derivative of the displacement of the glider in the directions of xi , y i and zi . The total energy of the glider in the track coordinate system is defined as
Figure PCTCN2022103500-appb-000030
The total energy E is derived with respect to time t:
Figure PCTCN2022103500-appb-000031
Figure PCTCN2022103500-appb-000031
其中,-DV a是阻力消耗的项,风梯度β w=-dW ix/dz i是动态滑翔获能的关键,动态滑翔要获得能量,则-mV a 2β wS γC γC χ要大于0,风梯度β w>0,则S γC γC χ要小于0,得出结论:在 爬升的时候(0<γ<π/2),滑翔机需要逆风(π/2<χ<3π/2)才能获能;在下潜的时候(-π/2<γ<0),滑翔机需要顺风(-π/2<χ<π/2)才能获能。 Among them, -DV a is the item of resistance consumption, and the wind gradient β w = -dW ix /dz i is the key to dynamic gliding energy capture. To obtain energy for dynamic gliding, then -mV a 2 β w S γ C γ C χ must be is greater than 0, and the wind gradient β w >0, then S γ C γ C χ must be less than 0. It is concluded that when climbing (0<γ<π/2), the glider needs to headwind (π/2<χ<3π /2) to gain energy; when diving (-π/2<γ<0), the glider needs to be downwind (-π/2<χ<π/2) to gain energy.
因此,本发明基于分布式压力传感器与分段姿态控制的动态滑翔方法即在线控制阶段具体为:Therefore, the present invention is based on the dynamic gliding method of distributed pressure sensors and segmented attitude control, that is, the online control stage is specifically:
实时获取滑翔机的当前状态参数,包括:滑翔机的当前坐标、高度h、航向角ψ、俯仰角θ、滚转角μ、布置于滑翔机机翼表面的多个分布式压力传感器的压力数据、惯性传感器测量的地速V d、侧滑角传感器测量的侧滑角β。 Real-time acquisition of the current state parameters of the glider, including: the current coordinates of the glider, height h, heading angle ψ, pitch angle θ, roll angle μ, pressure data of multiple distributed pressure sensors arranged on the surface of the glider wing, and inertial sensor measurement The ground speed V d and the side slip angle β measured by the side slip angle sensor.
将获取的压力数据(在固定时间中取均值)输入至训练好的神经网络模型,获得当前滑翔机的雷诺数预测值Re′和迎角预测值α′;并依据雷诺数预测值Re′计算获得空速预测值V′ a;结合空速预测值V′ a、地速V d、侧滑角β和实时高度h计算获得地面坐标系中x i方向分量的风速梯度的估算值β′ wInput the obtained pressure data (averaged in a fixed time) into the trained neural network model to obtain the predicted Reynolds number Re' and the predicted angle of attack α' of the current glider; Predicted airspeed value V′ a ; combined with predicted airspeed value V′ a , ground speed V d , side slip angle β and real-time height h, the estimated value β′ w of the wind speed gradient of the xi direction component in the ground coordinate system is obtained.
通过运动方程推导和carrot-chasing路径跟随算法结合风速梯度的估算值β′ w实时求解每一阶段的目标姿态,目标姿态包括航向角、俯仰角、滚转角和侧滑角。 Through the derivation of motion equations and carrot-chasing path-following algorithm combined with the estimated value of wind speed gradient β′w , the target attitude of each stage is solved in real time. The target attitude includes heading angle, pitch angle, roll angle and sideslip angle.
最后控制滑翔机的当前姿态接近目标姿态,完成分段姿态控制。Finally, the current attitude of the glider is controlled to be close to the target attitude, and the segmented attitude control is completed.
本实施例中,为了详细说明本发明,在Simulink程序中搭建了一个无动力滑翔机的动态滑翔分段姿态控制系统(如图5所示),该系统包括风速场模拟器、六自由度无动力滑翔机模型、PID控制器组、目标姿态求解器。其中,六自由度无动力滑翔机模型从Aerosim模块中获得,滑翔机模型的输入为风速场和控制面命令(副翼、襟翼、升降舵、方向舵),输出为滑翔机当前状态,包括滑翔机的实时高度h、速度、加速度、空速等,进一步获得滑翔机当前姿态:航向角ψ、俯仰角θ、滚转角μ、侧滑角β。将一个动态滑翔周期的轨迹分为了5段:P1逆风爬升、P2高空转弯过渡、P3顺风下潜、P4低空转弯过渡、P5沿目标方向平飞,无人机在逆风爬升(P1)和顺风下潜(P3)时从风场中获取能量,多出来的能量用于转弯过渡过程(P2、P3)和平飞过程(P5)中的能量消耗。其中,当h≥h max时,阶段P1切换至阶段P2,当航向角|ψ-ψ d3|≤3°时,阶段P2切换至阶段P3,当h≤h min时,阶段P3切换至阶段P4,当总能量E>E 0且|ψ-ψ d5|≤6°时,阶段P4切换至阶段P5;若E≤E 0且|ψ-ψ d1|≤6°,则不进入P5消耗能量而是进入下一个P1获取能量。其中,h max、h min分别是设定的最高高度和最低高度,ψ d1是阶段P1的目标航向角,ψ d3是阶段P3的目标航向角,ψ d5是阶段P5的目标航向角。E 0是是初始总能量。每一段的目标姿态是通过运动方程推导和carrot-chasing路径跟随算法求解,然后通过PID控制器组控制滑翔机的当前姿态接近目标姿态,如图6所示。 In the present embodiment, in order to describe the present invention in detail, in the Simulink program, the dynamic gliding segmentation attitude control system (as shown in Figure 5) of a unpowered glider has been built, and this system comprises wind velocity field simulator, six degrees of freedom unpowered Glider model, PID controller set, target attitude solver. Among them, the six-degree-of-freedom unpowered glider model is obtained from the Aerosim module. The input of the glider model is the wind speed field and the control surface commands (aileron, flap, elevator, rudder), and the output is the current state of the glider, including the real-time height h of the glider , speed, acceleration, airspeed, etc., and further obtain the current attitude of the glider: heading angle ψ, pitch angle θ, roll angle μ, sideslip angle β. The trajectory of a dynamic gliding cycle is divided into 5 segments: P1 upwind climb, P2 high-altitude turn transition, P3 downwind dive, P4 low-altitude turn transition, P5 level flight along the target direction, UAV climbs against the wind (P1) and under the downwind Energy is obtained from the wind field when diving (P3), and the extra energy is used for energy consumption in the turning transition process (P2, P3) and the peaceful flight process (P5). Among them, when h≥h max , stage P1 switches to stage P2, when the heading angle |ψ-ψ d3 |≤3°, stage P2 switches to stage P3, and when h≤h min , stage P3 switches to stage P4 , when the total energy E>E 0 and |ψ-ψ d5 |≤6 ° , stage P4 switches to stage P5; It is to enter the next P1 to obtain energy. Among them, h max and h min are the set maximum altitude and minimum altitude respectively, ψ d1 is the target heading angle of stage P1, ψ d3 is the target heading angle of stage P3, and ψ d5 is the target heading angle of stage P5. E 0 is the initial total energy. The target attitude of each segment is solved by the motion equation derivation and carrot-chasing path following algorithm, and then the current attitude of the glider is controlled to approach the target attitude through the PID controller group, as shown in Figure 6.
其中,每一段的目标姿态是通过运动方程推导和carrot-chasing路径跟随算法求解具体过 程如下:Among them, the target attitude of each segment is solved through motion equation derivation and carrot-chasing path following algorithm. The specific process is as follows:
获取滑翔机当前时刻的压力数据y′ i(i=1,2,…,M),并输入到训练好的BP神经网络模型中,雷诺数预测值Re′和迎角预测值α′,进一步获得该流动工况下的空速V′ a,
Figure PCTCN2022103500-appb-000032
μ 0为空气的粘性系数,l 0是特征长度,飞机上一般用机翼平均弦长c表示,估算的空速再与惯性传感器测量的地速V d和侧滑角传感器测量值β组合,获得风速的估算值:
Obtain the pressure data y′ i (i=1,2,…,M) of the glider at the current moment, and input it into the trained BP neural network model, the Reynolds number prediction value Re′ and the angle of attack prediction value α′, and further obtain The space velocity V′ a under this flow condition,
Figure PCTCN2022103500-appb-000032
μ 0 is the viscosity coefficient of the air, and l 0 is the characteristic length, which is generally expressed by the average chord length c of the wing on an airplane. The estimated airspeed is then combined with the ground speed Vd measured by the inertial sensor and the measured value β of the sideslip angle sensor. Get an estimate of the wind speed:
W ix′=V d-V′ acosα′cosβ W ix '=V d -V' a cosα'cosβ
风速V wx′再与滑翔机的实时高度h一起进行数值微分,获得估算的风梯度β′ wThe wind speed V wx ′ is numerically differentiated together with the real-time height h of the glider to obtain the estimated wind gradient β′ w :
β′ w=dW ix/dz i′=((W ix′) t-(W ix′) t-1)/(h t-h t-1) β′ w =dW ix /dz i ′=((W ix ′) t -(W ix ′) t-1 )/(h t -h t-1 )
其中,下标t为当前时刻,下标t-1表示为上一个时刻。Wherein, the subscript t is the current moment, and the subscript t-1 represents the previous moment.
根据估算的风梯度β′ w优化求解每一段的目标姿态,其中: According to the estimated wind gradient β′w , optimize and solve the target attitude of each segment, where:
阶段P1和P3中假设目标航向角ψ d1=π-ψ d3,阶段P1的目标俯仰角θ d1=γ opt1和阶段P3的目标俯仰角θ d3=γ opt3通过最大化能量相对于高度的梯度
Figure PCTCN2022103500-appb-000033
来优化,其余目标姿态为根据经验的设定值(如图6所示):
Assuming target heading angle ψ d1 = π-ψ d3 in phases P1 and P3, target pitch angle θ d1 = γ opt1 for phase P1 and target pitch angle θ d3 = γ opt3 for phase P3 by maximizing the gradient of energy with respect to altitude
Figure PCTCN2022103500-appb-000033
to optimize, and the remaining target postures are set values based on experience (as shown in Figure 6):
Figure PCTCN2022103500-appb-000034
Figure PCTCN2022103500-appb-000034
γ opt1表示阶段P1通过最大化能量相对于高度的梯度优化获得的航迹爬升角,γ opt3表示阶段P3通过最大化能量相对于高度的梯度优化获得的航迹爬升角,e是Oswald因子,S是机翼的参考面积,ρ是空气的密度,CD0是零升阻力系数,AR是飞机的展弦比,且假设无人机稳定爬升或稳定下潜(目标μ=0,dγ/dt=0;目标χ=0或π)。 γ opt1 represents the track climb angle obtained by maximizing the gradient optimization of energy relative to height in stage P1, γ opt3 represents the path climb angle obtained by maximizing the gradient optimization of energy relative to height in stage P3, e is the Oswald factor, S is the reference area of the wing, ρ is the density of the air, CD0 is the zero-lift drag coefficient, AR is the aspect ratio of the aircraft, and it is assumed that the UAV climbs steadily or dives stably (target μ=0, dγ/dt=0 ; target χ=0 or π).
其中,阶段P2和P4中目标滚转角μ d2和μ d4通过最大化转弯效率
Figure PCTCN2022103500-appb-000035
进行优化,其余目标姿态为根据经验的设定值(如图6所示):
Among them, the target roll angles μ d2 and μ d4 in phases P2 and P4 are maximized by maximizing the turning efficiency
Figure PCTCN2022103500-appb-000035
To optimize, the rest of the target postures are set values based on experience (as shown in Figure 6):
Figure PCTCN2022103500-appb-000036
Figure PCTCN2022103500-appb-000036
其中,S γ是μ的函数,在最大升力系数CL max和最大载荷系数n max的约束下,拟合曲线得到与空速相关的最优滚转角,本实施例中,拟合的曲线为
Figure PCTCN2022103500-appb-000037
Among them, S γ is a function of μ. Under the constraints of the maximum lift coefficient CL max and the maximum load coefficient n max , the fitting curve obtains the optimal roll angle related to the airspeed. In this embodiment, the fitting curve is
Figure PCTCN2022103500-appb-000037
其中,阶段P5中的航向角ψ d5采用carrot-chasing二维路径跟随算法,通过无人机当前坐标和要跟随的路径之间的几何关系推导得到,其余目标姿态为根据经验的设定值。 Among them, the heading angle ψ d5 in stage P5 is derived from the geometric relationship between the current coordinates of the UAV and the path to be followed by using the carrot-chasing two-dimensional path following algorithm, and the rest of the target attitudes are set values based on experience.
本实施例利用滑翔机当前的空速和迎角状态与得到的不同空速和迎角条件下的压力数据, 插值出滑翔机当前的压力数据作为滑翔机当前时刻的压力数据进行在线仿真,其测试结果如图7到图10所示,在测试中模拟了无动力滑翔机在风切变环境中进行一个周期的动态滑翔动作,水平风向沿x轴的负方向,滑翔机从5m的高度以地速15m/s、航向角ψ d1=0、俯仰角θ=0、滚转角μ=0开始进入动态滑翔动作,运动轨迹如图7所示。根据测试结果,无动力滑翔机在逆风爬升(P1)和顺风下潜(P3)时能够从风场中获得了足够多的能量,多余的能量则在转弯(P2,P4)和平飞(P5)的过程中消耗,如图8所示。根据图9所示的风速估算结果,可以看出大部分时间的风速估算轮廓与真实风速轮廓基本吻合,在阶段切换时会有少量的误差,但风速的总体的均方根误差保持在0.5m/s以内。根据风梯度的估算结果,与真实数据相比,估算时所用的数值微分方法会带来0.22s的时间延迟,图10展示了去除时间延迟后的风梯度估算情况。在逆风爬升和顺风下潜的时候(高度为5m到15m),通过动态滑翔获能的关键风梯度信息会剧烈变化,可以从图10中看出,这时候的风梯度估算轮廓与真实风梯度轮廓基本吻合,给出了精确的风梯度信息。 This embodiment uses the current airspeed and angle of attack state of the glider and the obtained pressure data under different airspeed and angle of attack conditions to interpolate the current pressure data of the glider as the pressure data at the current moment of the glider for online simulation. The test results are as follows As shown in Figures 7 to 10, in the test, the unpowered glider performed a cycle of dynamic gliding action in a wind shear environment. The horizontal wind direction is along the negative direction of the x-axis. , yaw angle ψ d1 =0, pitch angle θ=0, roll angle μ=0 and start to enter the dynamic gliding action, and the motion track is shown in Fig. 7 . According to the test results, the unpowered glider can obtain enough energy from the wind field when climbing against the wind (P1) and diving with the wind (P3), and the excess energy is used in turning (P2, P4) and flying peacefully (P5). consumed during the process, as shown in Figure 8. According to the wind speed estimation results shown in Figure 9, it can be seen that the estimated wind speed profile is basically consistent with the real wind speed profile in most of the time, and there will be a small amount of error when switching stages, but the overall root mean square error of the wind speed remains at 0.5m Within /s. According to the estimation results of the wind gradient, compared with the real data, the numerical differentiation method used in the estimation will bring a time delay of 0.22s. Figure 10 shows the estimation of the wind gradient after removing the time delay. When climbing against the wind and diving with the wind (the height is 5m to 15m), the key wind gradient information obtained through dynamic gliding will change drastically. It can be seen from Figure 10 that the estimated wind gradient outline at this time is different from the real wind gradient The contours are basically matched, giving accurate wind gradient information.
与前述基于分布式压力传感器与分段姿态控制的动态滑翔方法的实施例相对应,本发明还提供了一种滑翔机的动态滑翔模拟系统的实施例。Corresponding to the aforementioned embodiments of the dynamic gliding method based on distributed pressure sensors and segmented attitude control, the present invention also provides an embodiment of a dynamic gliding simulation system for a glider.
本发明实施例提供的一种滑翔机的动态滑翔模拟系统,包括一个或多个处理器,用于实现上述实施例中的基于分布式压力传感器与分段姿态控制的动态滑翔方法。A dynamic gliding simulation system for a glider provided by an embodiment of the present invention includes one or more processors for implementing the dynamic gliding method based on distributed pressure sensors and segmented attitude control in the above embodiments.
本发明滑翔机的动态滑翔模拟系统的实施例可以应用在任意具备数据处理能力的设备上,该任意具备数据处理能力的设备可以为诸如计算机等设备或装置。The embodiment of the glider dynamic gliding simulation system of the present invention can be applied to any device with data processing capability, and any device with data processing capability can be a device or device such as a computer.
示例性地,一种滑翔机的动态滑翔模拟系统,包括:Exemplarily, a dynamic gliding simulation system for a glider includes:
数据获取模块,用于实时获取滑翔机的当前状态参数,包括:滑翔机的当前坐标、高度h、航向角ψ、俯仰角θ、滚转角μ、布置于滑翔机机翼表面的多个分布式压力传感器的压力数据、惯性传感器测量的地速V d、侧滑角传感器测量的侧滑角β。 The data acquisition module is used to obtain the current state parameters of the glider in real time, including: the current coordinates of the glider, the height h, the heading angle ψ, the pitch angle θ, the roll angle μ, and the parameters of multiple distributed pressure sensors arranged on the surface of the glider wing The pressure data, the ground speed V d measured by the inertial sensor, and the side slip angle β measured by the side slip angle sensor.
训练好的神经网络模型,用于输入获取的压力数据(一定时间段内的均值),输出获得当前滑翔机的雷诺数预测值Re′和迎角预测值α′。The trained neural network model is used to input the obtained pressure data (average value within a certain period of time), and output the predicted Reynolds number Re' and angle of attack predicted value α' of the current glider.
风速梯度估计器,用于结合雷诺数预测值Re′、空速预测值V′ a、地速V d、侧滑角β和实时高度h计算获得地面坐标系中x i方向分量的风速梯度的估算值β′ wThe wind speed gradient estimator is used to calculate and obtain the wind speed gradient of the x i direction component in the ground coordinate system by combining the Reynolds number predicted value Re′, the airspeed predicted value V′ a , the ground speed V d , the sideslip angle β and the real-time height h Estimated value β′ w .
目标姿态求解器,用于通过运动方程推导和carrot-chasing路径跟随算法结合风速梯度的估算值β′ w实时求解每一阶段的目标姿态,目标姿态包括航向角、俯仰角、滚转角和侧滑角,其中: The target attitude solver is used to solve the target attitude of each stage in real time through the derivation of the motion equation and the carrot-chasing path following algorithm combined with the estimated value β′ w of the wind speed gradient. The target attitude includes heading angle, pitch angle, roll angle and sideslip angle, where:
阶段P1和阶段P3为稳定爬升或稳定下潜,目标滚转角μ d1=0和μ d3=0,目标航向角ψ d1=π-ψ d3,阶段P1的目标俯仰角θ d1和阶段P3的目标俯仰角θ d3通过最大化能量相对于 高度的梯度
Figure PCTCN2022103500-appb-000038
优化航迹爬升角γ获得,其余目标姿态为设定值:
Stage P1 and stage P3 are steady climbing or steady diving, target roll angle μ d1 = 0 and μ d3 = 0, target heading angle ψ d1 = π-ψ d3 , target pitch angle θ d1 of stage P1 and target of stage P3 Pitch angle θd3 is obtained by maximizing the gradient of energy with respect to altitude
Figure PCTCN2022103500-appb-000038
The climb angle γ of the optimized track is obtained, and the remaining target attitudes are the set values:
Figure PCTCN2022103500-appb-000039
Figure PCTCN2022103500-appb-000039
其中,e是Oswald因子,S是机翼的参考面积,ρ是空气的密度,CD0是零升阻力系数,AR是飞机的展弦比,S (·)和C (·)表示sin(·)和cos(·),γ是航迹爬升角,χ是航迹方位角,g为重力加速度,m为滑翔机的质量。 where, e is the Oswald factor, S is the reference area of the wing, ρ is the density of the air, CD0 is the zero-lift drag coefficient, AR is the aspect ratio of the aircraft, S ( ) and C ( ) represent sin( ) and cos(·), γ is the climb angle of the track, χ is the azimuth of the track, g is the acceleration of gravity, and m is the mass of the glider.
阶段P2和阶段P4的目标滚转角μ d2和μ d4通过最大化转弯效率
Figure PCTCN2022103500-appb-000040
进行优化,其余目标姿态为设定值:
The target roll angles μ d2 and μ d4 for phase P2 and phase P4 are maximized by maximizing the turning efficiency
Figure PCTCN2022103500-appb-000040
To optimize, the remaining target poses are the set values:
Figure PCTCN2022103500-appb-000041
Figure PCTCN2022103500-appb-000041
阶段P5中的目标航向角ψ d5采用carrot-chasing二维路径跟随算法,通过滑翔机当前坐标和要跟随的路径之间的几何关系推导得到,其余目标姿态为设定值。 The target heading angle ψ d5 in stage P5 adopts the carrot-chasing two-dimensional path following algorithm, and is derived from the geometric relationship between the current coordinates of the glider and the path to be followed, and the remaining target attitudes are set values.
控制器,控制滑翔机的当前姿态接近目标姿态。The controller controls the current attitude of the glider to approach the target attitude.
显然,上述实施例仅仅是为清楚地说明所作的举例,而并非对实施方式的限定。对于所属领域的普通技术人员来说,在上述说明的基础上还可以做出其他不同形式的变化或变动。这里无需也无法把所有的实施方式予以穷举。而由此所引申出的显而易见的变化或变动仍处于本发明的保护范围。Apparently, the above-mentioned embodiments are only examples for clear description, rather than limiting the implementation. For those of ordinary skill in the art, other changes or changes in different forms can be made on the basis of the above description. It is not necessary and impossible to exhaustively list all implementation modes here. However, the obvious changes or variations derived therefrom still fall within the protection scope of the present invention.

Claims (6)

  1. 一种基于分布式压力传感器与分段姿态控制的动态滑翔方法,所述动态滑翔包括P1:逆风爬升阶段、P2:高空转弯过渡阶段、P3:顺风下潜阶段、P4:低空转弯过渡阶段、P5:沿目标方向平飞阶段;其特征在于,该方法具体为:A dynamic gliding method based on distributed pressure sensors and segmented attitude control, the dynamic gliding includes P1: headwind climbing stage, P2: high-altitude turning transition stage, P3: downwind diving stage, P4: low-altitude turning transition stage, P5 : level flight stage along the target direction; it is characterized in that the method is specifically:
    实时获取滑翔机的当前状态参数,包括:滑翔机的当前坐标、高度h、航向角ψ、俯仰角θ、滚转角μ、布置于滑翔机机翼表面的多个分布式压力传感器的压力数据、惯性传感器测量的地速V d、侧滑角传感器测量的侧滑角β。 Real-time acquisition of the current state parameters of the glider, including: the current coordinates of the glider, height h, heading angle ψ, pitch angle θ, roll angle μ, pressure data of multiple distributed pressure sensors arranged on the surface of the glider wing, and inertial sensor measurement The ground speed V d and the side slip angle β measured by the side slip angle sensor.
    将获取的压力数据输入至一训练好的神经网络模型,获得当前滑翔机的雷诺数预测值Re′和迎角预测值α′;并依据雷诺数预测值Re′计算获得空速预测值V′ a;结合空速预测值V′ a、地速V d、侧滑角β和实时高度h计算获得地面坐标系中x i方向分量的风速梯度的估算值β′ wInput the obtained pressure data into a trained neural network model to obtain the predicted Reynolds number Re' and the predicted angle of attack α' of the current glider; and calculate the predicted airspeed V'a based on the predicted Reynolds number Re'; Combined with the airspeed prediction value V′ a , ground speed V d , sideslip angle β and real-time height h, the estimated value β′ w of the wind speed gradient of the x i direction component in the ground coordinate system is obtained:
    β′ w=((W ix′) t-(W ix′) t-1)/(h t-h t-1) β′ w =((W ix ′) t -(W ix ′) t-1 )/(h t -h t-1 )
    W ix′=V d-V′ acosα′cosβ W ix '=V d -V' a cosα'cosβ
    其中,下标t为当前时刻,下标t-1表示为上一个时刻,W ix′是x i方向分量的风速。 Wherein, the subscript t is the current moment, the subscript t-1 is the previous moment, and W ix ′ is the wind speed of the x i direction component.
    通过运动方程推导和carrot-chasing路径跟随算法结合风速梯度的估算值β′ w实时求解每一阶段的目标姿态,目标姿态包括航向角、俯仰角、滚转角和侧滑角,其中: Through the derivation of the motion equation and the carrot-chasing path following algorithm combined with the estimated value of the wind speed gradient β′w , the target attitude of each stage is solved in real time. The target attitude includes heading angle, pitch angle, roll angle and sideslip angle, where:
    阶段P1和阶段P3为稳定爬升或稳定下潜,目标滚转角μ d1=0和μ d3=0,目标航向角ψ d1=π-ψ d3,阶段P1的目标俯仰角θ d1和阶段P3的目标俯仰角θ d3通过最大化能量相对于高度的梯度
    Figure PCTCN2022103500-appb-100001
    优化航迹爬升角γ获得,其余目标姿态为设定值:
    Stage P1 and stage P3 are steady climbing or steady diving, target roll angle μ d1 = 0 and μ d3 = 0, target heading angle ψ d1 = π-ψ d3 , target pitch angle θ d1 of stage P1 and target of stage P3 Pitch angle θd3 is obtained by maximizing the gradient of energy with respect to altitude
    Figure PCTCN2022103500-appb-100001
    The climb angle γ of the optimized track is obtained, and the remaining target attitudes are the set values:
    Figure PCTCN2022103500-appb-100002
    Figure PCTCN2022103500-appb-100002
    其中,e是Oswald因子,S是机翼的参考面积,ρ是空气的密度,CD0是零升阻力系数,AR是飞机的展弦比,S (·)和C (·)表示sin(·)和cos(·),γ是航迹爬升角,χ是航迹方位角,g为重力加速度,m为滑翔机的质量。 where, e is the Oswald factor, S is the reference area of the wing, ρ is the density of the air, CD0 is the zero-lift drag coefficient, AR is the aspect ratio of the aircraft, S ( ) and C ( ) represent sin( ) and cos(·), γ is the climb angle of the track, χ is the azimuth of the track, g is the acceleration of gravity, and m is the mass of the glider.
    阶段P2和阶段P4的目标滚转角μ d2和μ d4通过最大化转弯效率
    Figure PCTCN2022103500-appb-100003
    进行优化,其余目标姿态为设定值:
    The target roll angles μ d2 and μ d4 for phase P2 and phase P4 are maximized by maximizing the turning efficiency
    Figure PCTCN2022103500-appb-100003
    To optimize, the remaining target poses are the set values:
    Figure PCTCN2022103500-appb-100004
    Figure PCTCN2022103500-appb-100004
    阶段P5中的目标航向角ψ d5采用carrot-chasing二维路径跟随算法,通过滑翔机当前坐标和要跟随的路径之间的几何关系推导得到,其余目标姿态为设定值。 The target heading angle ψ d5 in stage P5 adopts the carrot-chasing two-dimensional path following algorithm, and is derived from the geometric relationship between the current coordinates of the glider and the path to be followed, and the remaining target attitudes are set values.
    控制滑翔机的当前姿态接近目标姿态,完成分段姿态控制。The current attitude of the glider is controlled to be close to the target attitude, and the segmented attitude control is completed.
  2. 根据权利要求1所述的动态滑翔方法,其特征在于,布置于滑翔机机翼表面的多个分布式压力传感器相互之间的间距大于0.06c,c是机翼平均弦长。The dynamic gliding method according to claim 1, characterized in that the distance between the plurality of distributed pressure sensors arranged on the surface of the wing of the glider is greater than 0.06c, where c is the average chord length of the wing.
  3. 根据权利要求1所述的动态滑翔方法,其特征在于,布置于滑翔机机翼表面的多个分布式压力传感器的位置通过如下方法进行确定:The dynamic gliding method according to claim 1, wherein the positions of a plurality of distributed pressure sensors arranged on the wing surface of the glider are determined by the following method:
    通过CFD数值模拟不同流动工况下的滑翔机机翼的二维绕流流场,提取获得不同流动工况下对应的机翼表面分布的多个坐标点随时间变化的压力数据构成压力数据集X。Through the CFD numerical simulation of the two-dimensional flow field around the wing of the glider under different flow conditions, the pressure data of multiple coordinate points distributed on the surface of the wing corresponding to the different flow conditions are extracted to form the pressure data set X .
    采用测量矩阵C表示分布式压力传感器的位置信息,则M个分布式压力传感器的测量数据Y={y i},i=1,2,…,M与数据集X的关系表示为Y=CX。 Using the measurement matrix C to represent the location information of the distributed pressure sensors, the relationship between the measurement data Y={y i }, i=1,2,...,M and the data set X of the M distributed pressure sensors is expressed as Y=CX .
    通过POD算法对压力数据集X进行降维,然后通过对带有传感器位置和模态信息的
    Figure PCTCN2022103500-appb-100005
    项进行QR分解,其中
    Figure PCTCN2022103500-appb-100006
    为降维后的POD模态矩阵,挑选出对于数据集X占优的测量矩阵C o,测量矩阵C o包含的传感器的位置信息即为确定的布置于滑翔机机翼表面的多个分布式压力传感器的位置。
    Dimensionality reduction is performed on the pressure data set X by the POD algorithm, and then by the sensor position and modality information
    Figure PCTCN2022103500-appb-100005
    Items undergo QR decomposition, where
    Figure PCTCN2022103500-appb-100006
    is the POD modal matrix after dimensionality reduction, and the measurement matrix C o that is dominant for the data set X is selected. The position information of the sensor contained in the measurement matrix C o is the determined multiple distributed pressures arranged on the surface of the glider wing The location of the sensor.
  4. 根据权利要求1所述的动态滑翔方法,其特征在于,所述神经网络模型通过如下方法训练获得:The dynamic gliding method according to claim 1, wherein the neural network model is obtained by training as follows:
    通过CFD数值模拟不同流动工况下的滑翔机机翼的二维绕流流场,提取获得不同流动工况下对应的布置于滑翔机机翼表面的多个分布式压力传感器的随时间变化的压力数据构成训练数据集。Through CFD numerical simulation of the two-dimensional flow field around the glider wing under different flow conditions, the time-varying pressure data of multiple distributed pressure sensors arranged on the surface of the glider wing corresponding to different flow conditions are extracted and obtained form the training data set.
    构建神经网络模型,利用训练数据集,以布置于滑翔机机翼表面的多个分布式压力传感器的压力数据作为输入,雷诺数预测值Re′和迎角预测值α′作为输出,直至输出的预测值与真值损失函数收敛,训练获得神经网络模型。Construct the neural network model, use the training data set, take the pressure data of multiple distributed pressure sensors arranged on the surface of the glider wing as input, the Reynolds number prediction value Re' and the angle of attack prediction value α' as output, until the output prediction The value and the true value loss function converge, and the training obtains the neural network model.
  5. 根据权利要求1所述的动态滑翔方法,其特征在于,所述神经网络模型为BP神经网络、卷积神经网络。The dynamic gliding method according to claim 1, wherein the neural network model is a BP neural network or a convolutional neural network.
  6. 一种滑翔机的动态滑翔模拟系统,其特征在于,包括:A dynamic gliding simulation system for a glider, characterized in that it comprises:
    数据获取模块,用于实时获取滑翔机的当前状态参数,包括:滑翔机的当前坐标、高度h、航向角ψ、俯仰角θ、滚转角μ、布置于滑翔机机翼表面的多个分布式压力传感器的压力数据、惯性传感器测量的地速V d、侧滑角传感器测量的侧滑角β。 The data acquisition module is used to obtain the current state parameters of the glider in real time, including: the current coordinates of the glider, the height h, the heading angle ψ, the pitch angle θ, the roll angle μ, and the parameters of multiple distributed pressure sensors arranged on the surface of the glider wing The pressure data, the ground speed V d measured by the inertial sensor, and the side slip angle β measured by the side slip angle sensor.
    训练好的神经网络模型,用于输入获取的压力数据,输出获得当前滑翔机的雷诺数预测值Re′和迎角预测值α′。The trained neural network model is used to input the obtained pressure data, and output the predicted Reynolds number Re' and the predicted angle of attack α' of the current glider.
    风速梯度估计器,用于结合雷诺数预测值Re′、空速预测值V′ a、地速V d、侧滑角β和实时高度h计算获得地面坐标系中x i方向分量的风速梯度的估算值β′ wThe wind speed gradient estimator is used to calculate and obtain the wind speed gradient of the x i direction component in the ground coordinate system by combining the Reynolds number predicted value Re′, the airspeed predicted value V′ a , the ground speed V d , the sideslip angle β and the real-time height h Estimated value β′ w .
    目标姿态求解器,用于通过运动方程推导和carrot-chasing路径跟随算法结合风速梯度的估算值β′ w实时求解每一阶段的目标姿态,目标姿态包括航向角、俯仰角、滚转角和侧滑角,其中: The target attitude solver is used to solve the target attitude of each stage in real time through the derivation of the motion equation and the carrot-chasing path following algorithm combined with the estimated value β′ w of the wind speed gradient. The target attitude includes heading angle, pitch angle, roll angle and sideslip angle, where:
    阶段P1和阶段P3为稳定爬升或稳定下潜,目标滚转角μ d1=0和μ d3=0,目标航向角ψ d1=π-ψ d3,阶段P1的目标俯仰角θ d1和阶段P3的目标俯仰角θ d3通过最大化能量相对于高度的梯度
    Figure PCTCN2022103500-appb-100007
    优化航迹爬升角γ获得,其余目标姿态为设定值:
    Stage P1 and stage P3 are steady climbing or steady diving, target roll angle μ d1 = 0 and μ d3 = 0, target heading angle ψ d1 = π-ψ d3 , target pitch angle θ d1 of stage P1 and target of stage P3 Pitch angle θd3 is obtained by maximizing the gradient of energy with respect to altitude
    Figure PCTCN2022103500-appb-100007
    The climb angle γ of the optimized track is obtained, and the remaining target attitudes are the set values:
    Figure PCTCN2022103500-appb-100008
    Figure PCTCN2022103500-appb-100008
    其中,e是Oswald因子,S是机翼的参考面积,ρ是空气的密度,CD0是零升阻力系数,AR是飞机的展弦比,S (·)和C (·)表示sin(·)和cos(·),γ是航迹爬升角,χ是航迹方位角,g为重力加速度,m为滑翔机的质量。 where, e is the Oswald factor, S is the reference area of the wing, ρ is the density of the air, CD0 is the zero-lift drag coefficient, AR is the aspect ratio of the aircraft, S ( ) and C ( ) represent sin( ) and cos(·), γ is the climb angle of the track, χ is the azimuth of the track, g is the acceleration of gravity, and m is the mass of the glider.
    阶段P2和阶段P4的目标滚转角μ d2和μ d4通过最大化转弯效率
    Figure PCTCN2022103500-appb-100009
    进行优化,其余目标姿态为设定值:
    The target roll angles μ d2 and μ d4 for phase P2 and phase P4 are maximized by maximizing the turning efficiency
    Figure PCTCN2022103500-appb-100009
    To optimize, the remaining target poses are the set values:
    Figure PCTCN2022103500-appb-100010
    Figure PCTCN2022103500-appb-100010
    阶段P5中的目标航向角ψ d5采用carrot-chasing二维路径跟随算法,通过滑翔机当前坐标和要跟随的路径之间的几何关系推导得到,其余目标姿态为设定值。 The target heading angle ψ d5 in stage P5 adopts the carrot-chasing two-dimensional path following algorithm, and is derived from the geometric relationship between the current coordinates of the glider and the path to be followed, and the remaining target attitudes are set values.
    控制器,控制滑翔机的当前姿态接近目标姿态。The controller controls the current attitude of the glider to approach the target attitude.
PCT/CN2022/103500 2022-01-06 2022-07-02 Dynamic gliding method and system based on distributed pressure sensors and segmented attitude control WO2023130691A1 (en)

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