CN109693774A - A kind of control method and system of submarine navigation device track - Google Patents
A kind of control method and system of submarine navigation device track Download PDFInfo
- Publication number
- CN109693774A CN109693774A CN201811641485.7A CN201811641485A CN109693774A CN 109693774 A CN109693774 A CN 109693774A CN 201811641485 A CN201811641485 A CN 201811641485A CN 109693774 A CN109693774 A CN 109693774A
- Authority
- CN
- China
- Prior art keywords
- speed
- direction angle
- position information
- target
- deviation
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
- 238000000034 method Methods 0.000 title claims abstract description 50
- 230000008569 process Effects 0.000 claims abstract description 15
- 230000009471 action Effects 0.000 claims abstract description 11
- 238000001914 filtration Methods 0.000 claims description 31
- 239000011159 matrix material Substances 0.000 claims description 17
- 238000013016 damping Methods 0.000 claims description 9
- 238000012545 processing Methods 0.000 claims description 9
- 238000010586 diagram Methods 0.000 description 14
- 238000009795 derivation Methods 0.000 description 13
- 230000006870 function Effects 0.000 description 10
- 238000013461 design Methods 0.000 description 9
- 230000000694 effects Effects 0.000 description 3
- 238000005516 engineering process Methods 0.000 description 3
- 238000012938 design process Methods 0.000 description 2
- 230000007613 environmental effect Effects 0.000 description 2
- 230000003321 amplification Effects 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000007123 defense Effects 0.000 description 1
- 238000001514 detection method Methods 0.000 description 1
- 238000011161 development Methods 0.000 description 1
- 230000004069 differentiation Effects 0.000 description 1
- 238000004880 explosion Methods 0.000 description 1
- 230000006872 improvement Effects 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000012544 monitoring process Methods 0.000 description 1
- 238000003199 nucleic acid amplification method Methods 0.000 description 1
- 238000011160 research Methods 0.000 description 1
Classifications
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B63—SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
- B63G—OFFENSIVE OR DEFENSIVE ARRANGEMENTS ON VESSELS; MINE-LAYING; MINE-SWEEPING; SUBMARINES; AIRCRAFT CARRIERS
- B63G8/00—Underwater vessels, e.g. submarines; Equipment specially adapted therefor
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B63—SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
- B63C—LAUNCHING, HAULING-OUT, OR DRY-DOCKING OF VESSELS; LIFE-SAVING IN WATER; EQUIPMENT FOR DWELLING OR WORKING UNDER WATER; MEANS FOR SALVAGING OR SEARCHING FOR UNDERWATER OBJECTS
- B63C11/00—Equipment for dwelling or working underwater; Means for searching for underwater objects
-
- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05D—SYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
- G05D1/00—Control of position, course, altitude or attitude of land, water, air or space vehicles, e.g. using automatic pilots
- G05D1/02—Control of position or course in two dimensions
Landscapes
- Engineering & Computer Science (AREA)
- Aviation & Aerospace Engineering (AREA)
- Mechanical Engineering (AREA)
- Radar, Positioning & Navigation (AREA)
- Remote Sensing (AREA)
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Automation & Control Theory (AREA)
- Ocean & Marine Engineering (AREA)
- Control Of Position, Course, Altitude, Or Attitude Of Moving Bodies (AREA)
- Feedback Control In General (AREA)
Abstract
本发明涉及一种水下航行器轨迹的控制方法和系统,该控制方法包括:接收目标信号,目标信号携带欲达到的目标位置信息;根据当前的位置信息与目标位置信息确定第一状态信号,第一状态信号携带第一方向角度和第一速度;利用第一滤波组件对第一状态信号进行处理得到第二方向角度和第二速度;根据第二速度确定控制力,以使得水下航行器的航行速度在控制力的作用下达到目标速度;根据第二方向角度确定控制力矩,以使得水下航行器的航行方向角度在控制力矩的作用下达到目标方向角度,抑制了高频噪声、外界干扰、参数不确定等情况,增强了系统的鲁棒性。
The invention relates to a method and system for controlling the trajectory of an underwater vehicle. The control method includes: receiving a target signal, the target signal carrying target position information to be reached; determining a first state signal according to the current position information and the target position information, the first state signal carries the first direction angle and the first speed; the first filter component is used to process the first state signal to obtain the second direction angle and the second speed; the control force is determined according to the second speed, so that the underwater vehicle The sailing speed of the underwater vehicle reaches the target speed under the action of the control force; the control torque is determined according to the second direction angle, so that the sailing direction angle of the underwater vehicle reaches the target direction angle under the action of the control torque, suppressing high-frequency noise, external Interference, parameter uncertainty, etc., enhance the robustness of the system.
Description
技术领域technical field
本发明涉及航行器领域,尤其涉及一种水下航行器轨迹的控制方法和系统。The invention relates to the field of aircraft, in particular to a method and system for controlling the trajectory of an underwater vehicle.
背景技术Background technique
随着电子技术、测量技术、控制技术等领域的发展,使得水下航行器更容易在恶劣的环境下完成高精度、高质量、高难度的任务。而今,水下航行器已经在水下探测、救援、环境监测、科学研究、军事国防等方面得到了广泛的应用,而对航行轨迹的精确跟踪能力是实现上述应用必须的技术基础。但由于这类航行器通常是欠驱动的,即控制量小于系统的被控制量,并且外界复杂的环境存在噪声、强干扰,系统内部存在建模误差、参数不确定,使得水下航行器的轨迹跟踪控制器设计具有一定的难度,无法实现水下航行器沿给定的轨迹行驶,即无法满足对水下航行器轨迹的精确跟踪。With the development of electronic technology, measurement technology, control technology and other fields, it is easier for underwater vehicles to complete high-precision, high-quality and difficult tasks in harsh environments. Nowadays, underwater vehicles have been widely used in underwater detection, rescue, environmental monitoring, scientific research, military and national defense, etc., and the ability to accurately track the navigation trajectory is the necessary technical basis for the realization of the above applications. However, because such vehicles are usually underactuated, that is, the control quantity is less than the controlled quantity of the system, and the complex external environment has noise and strong interference, and there are modeling errors and uncertain parameters inside the system, which makes the underwater vehicle’s The design of the trajectory tracking controller has certain difficulties, and it cannot realize that the underwater vehicle can travel along a given trajectory, that is, it cannot meet the precise tracking of the trajectory of the underwater vehicle.
所以需要寻找新的方案来解决这一问题。So we need to find new solutions to solve this problem.
发明内容SUMMARY OF THE INVENTION
本发明实施例提供了一种水下航行器轨迹的控制方法和系统,满足了对水下下航行器轨迹的精确控制,实现了水下航行器沿给定的轨迹行驶。The embodiments of the present invention provide a method and system for controlling the trajectory of an underwater vehicle, which satisfies the precise control of the trajectory of the underwater vehicle and realizes that the underwater vehicle travels along a given trajectory.
第一方面,提供了一种水下航行器轨迹的控制方法,该控制方法包括:In a first aspect, a method for controlling the trajectory of an underwater vehicle is provided, the control method comprising:
接收目标信号,目标信号携带欲达到的目标位置信息;Receive the target signal, the target signal carries the target position information to be reached;
根据当前的位置信息与目标位置信息确定第一状态信号,第一状态信号携带第一方向角度和第一速度;Determine the first state signal according to the current position information and the target position information, and the first state signal carries the first direction angle and the first speed;
利用第一滤波组件对第一状态信号进行处理得到第二方向角度和第二速度;Using the first filter component to process the first state signal to obtain the second direction angle and the second speed;
根据第二速度确定控制力,以使得水下航行器的航行速度在控制力的作用下达到目标速度;Determine the control force according to the second speed, so that the sailing speed of the underwater vehicle reaches the target speed under the action of the control force;
根据第二方向角度确定控制力矩,以使得水下航行器的航行方向角度在控制力矩的作用下达到目标方向角度。The control torque is determined according to the second direction angle, so that the navigation direction angle of the underwater vehicle reaches the target direction angle under the action of the control torque.
在一个可能的实现中,利用第一滤波组件对第一状态信号进行处理得到第二方向角度和第二速度,包括:In a possible implementation, using the first filtering component to process the first state signal to obtain the second direction angle and the second speed, including:
通过对第一滤波组件设定第一时间常数,并利用第一滤波组件对第一方向角度进行处理得到第二方向角度;The second direction angle is obtained by setting the first time constant for the first filter component and processing the first direction angle by the first filter component;
通过对第一滤波组件设定第二时间常数,并利用第一滤波组件对第一速度进行处理得到第二速度。The second speed is obtained by setting the second time constant to the first filter component and processing the first speed by the first filter component.
进一步,在一个可能的实现中,第二方向角度与第一时间常数,以及第二速度与第二时间常数分别满足以下关系:Further, in a possible implementation, the second direction angle and the first time constant, and the second speed and the second time constant respectively satisfy the following relationships:
其中,τ1θ是第一时间常数,τ1v是第二时间常数;是第一方向角度,是第一速度;θ1d是第二方向角度,v1d是第二速度。where τ 1θ is the first time constant, and τ 1v is the second time constant; is the first direction angle, is the first velocity; θ 1d is the second directional angle, and v 1d is the second velocity.
在一个可能的实现中,根据第二速度确定控制力,包括:In one possible implementation, determining the control force based on the second speed includes:
根据当前的位置信息,目标位置的信息,以及第二速度确定控制力。The control force is determined according to the current position information, the target position information, and the second speed.
在另一个可能的实现中,根据当前的位置信息,目标位置的信息,以及第二速度确定控制力,包括:In another possible implementation, the control force is determined according to the current position information, the target position information, and the second speed, including:
计算当前的位置信息与目标位置信息的位置偏差量;Calculate the position deviation between the current position information and the target position information;
计算当前的速度与第二速度的速度偏差量;Calculate the speed deviation between the current speed and the second speed;
根据位置偏差量和速度偏差量确定控制力。The control force is determined according to the position deviation amount and the speed deviation amount.
进一步,在一个可能的实现中,第二速度与控制力满足以下关系:Further, in a possible implementation, the second speed and the control force satisfy the following relationship:
其中,F是控制力,m是系统质量,k1v是第一增益值,S1v是速度偏差量, v1d是第二速度,S1x是当前的位置信息和目标位置信息在x方向的位置偏差量, S1y是当前的位置信息和目标位置信息在y方向的位置偏差量,v是当前的速度,θ1是当前的方向角度,是第一速度,是第一方向角度,C1(v)为科氏矩阵; D1(v)为水动力阻尼矩阵。Among them, F is the control force, m is the system mass, k 1v is the first gain value, S 1v is the speed deviation, v 1d is the second speed, and S 1x is the current position information and the position of the target position information in the x direction Deviation, S 1y is the position deviation between the current position information and the target position information in the y direction, v is the current speed, θ 1 is the current direction angle, is the first speed, is the first direction angle, C 1 (v) is the Coriolis matrix; D 1 (v) is the hydrodynamic damping matrix.
在一个可能的实现中,根据第二方向角度确定控制力矩,包括:In a possible implementation, the control torque is determined according to the second direction angle, including:
计算当前的方向角度与第二方向角度的角度偏差量;Calculate the angle deviation between the current direction angle and the second direction angle;
根据第二方向角度和角度偏差量确定控制力矩。The control torque is determined according to the second direction angle and the angle deviation.
在另一个可能的实现中,根据第二方向角度和角度偏差量确定控制力矩,包括:In another possible implementation, the control torque is determined according to the second direction angle and the angle deviation, including:
根据第二方向角度和角度偏差量计算第二状态信号,第二状态信号携带第一角速度;Calculate a second state signal according to the second direction angle and the angle deviation, and the second state signal carries the first angular velocity;
利用第二滤波组件对第二状态信号进行处理得到第二角速度;Using the second filter component to process the second state signal to obtain the second angular velocity;
根据当前的角速度与第二角速度的角速度偏差量,以及第二角速度确定控制力矩。The control torque is determined according to the angular velocity deviation between the current angular velocity and the second angular velocity and the second angular velocity.
进一步,在一个可能的实现中,第二速度与控制力矩满足以下关系:Further, in a possible implementation, the second speed and the control torque satisfy the following relationship:
其中,τ是控制力矩,I是转动惯量,k2θ是第二增益值,S2θ是角速度偏差量,θ2d是第二角速度,S1θ是角度偏差量,ω为水下航行器角速度,C2(ω)为科氏矩阵;D2(v)为水动力阻尼矩阵。Among them, τ is the control torque, I is the moment of inertia, k 2θ is the second gain value, S 2θ is the angular velocity deviation, θ 2d is the second angular velocity, S 1 θ is the angular deviation, ω is the angular velocity of the underwater vehicle, C 2 (ω) is the Coriolis matrix; D 2 (v) is the hydrodynamic damping matrix.
第二方面,提供了一种系统,该系统包括第一方面中的第一滤波组件和第二滤波组件,第一滤波组件用于对第一状态信号进行处理得到第二方向角度和第二速度,以使得根据第二速度确定目标速度,根据第二方向角度确定目标方向角度;系统用于执行第一方面的方法。In a second aspect, a system is provided, the system includes the first filtering component and the second filtering component in the first aspect, the first filtering component is configured to process the first state signal to obtain the second direction angle and the second speed , so that the target speed is determined according to the second speed, and the target direction angle is determined according to the second direction angle; the system is used to execute the method of the first aspect.
基于本申请实施例提供的水下航行器轨迹的控制方法和系统,通过在系统中增加滤波组件,对系统中的第一状态信号进行滤波处理,并基于滤波后的第二速度和第二方向角度确定控制力和控制力矩,以使水下航行器在控制力和控制力矩的作用下,航行速度达到目标速度,航行方向角度达到目标方向角度,实现了对水下下航行器轨迹的精确控制,实现了水下航行器沿给定的轨迹行驶。Based on the method and system for controlling the trajectory of an underwater vehicle provided by the embodiments of the present application, by adding a filter component to the system, the first state signal in the system is filtered and processed based on the filtered second speed and second direction. The angle determines the control force and control torque, so that under the action of the control force and control torque, the sailing speed of the underwater vehicle reaches the target speed, and the sailing direction angle reaches the target direction angle, which realizes the precise control of the trajectory of the underwater vehicle. , the underwater vehicle can travel along a given trajectory.
附图说明Description of drawings
为了更清楚地说明本发明实施例的技术方案,下面将对本发明实施例中所需要使用的附图作简单地介绍,显而易见地,下面所描述的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to illustrate the technical solutions of the embodiments of the present invention more clearly, the following briefly introduces the accompanying drawings that need to be used in the embodiments of the present invention. Obviously, the drawings described below are only some embodiments of the present invention. For those of ordinary skill in the art, other drawings can also be obtained from these drawings without any creative effort.
图1为本发明实施例提供的一种水下航行器示意图;1 is a schematic diagram of an underwater vehicle according to an embodiment of the present invention;
图2为本发明实施例提供的一种水下航行器轨迹的控制方法流程示意图;2 is a schematic flowchart of a method for controlling an underwater vehicle trajectory according to an embodiment of the present invention;
图3是本发明实施例提供的一种系统框架示意图;3 is a schematic diagram of a system framework provided by an embodiment of the present invention;
图4是本发明实施例提供的一种姿态跟踪误差的示意图;4 is a schematic diagram of an attitude tracking error provided by an embodiment of the present invention;
图5是本放实施例提供的一种位置跟踪误差的示意图;5 is a schematic diagram of a position tracking error provided by this embodiment;
图6是本发明实施例提供的一种平面轨迹示意图;6 is a schematic diagram of a plane trajectory provided by an embodiment of the present invention;
图7是本发明实施例提供的一种系统结构示意图。FIG. 7 is a schematic structural diagram of a system provided by an embodiment of the present invention.
具体实施方式Detailed ways
为了实现水下航行器轨迹的跟踪,当前理论上已证明系统的收敛性,但所设计的控制律往往很复杂,难以实现。其中,控制律是系统形成控制指令的算法,描述受控状态变量与系统输入信号之间的函数关系。其次,没有考虑到信号求导的难实现性,通常需要假设系统内部信号的导数容易获得,而实际中对信号求导往往是近似的,且常对信号求导的方法是在间隔时刻对信号进行差分,当存在噪声、参数不确定、外界干扰时无法精确获得信道的导数;而且采用差分求导也会放大系统噪声。In order to realize the tracking of the trajectory of the underwater vehicle, the convergence of the system has been proved theoretically, but the designed control law is often very complicated and difficult to achieve. Among them, the control law is an algorithm for the system to form a control command, which describes the functional relationship between the controlled state variable and the system input signal. Secondly, without considering the difficulty of signal derivation, it is usually necessary to assume that the derivative of the internal signal of the system is easy to obtain, but in practice, the derivation of the signal is often approximate, and the method of derivation of the signal is often at intervals. Differentiation, when there is noise, uncertain parameters, and external interference, the derivative of the channel cannot be accurately obtained; and the use of differential derivation will also amplify the system noise.
因此,由于水下环境条件恶劣,存在噪声与强干扰,所以通常的求导方法并不适用。为了减少信号求导对系统稳定性的影响,使得控制律易于实现,本发明实施例提供了一种水下航行器轨迹跟踪的控制方法,提供的控制输入表达式简洁,且易于工程应用;并通过将信号输入滤波器以代替当前信号的求导,以抑制高频噪声,外界干扰、参数不确定,增强了系统的鲁棒性,鲁棒性是指系统在一定的参数变动下,维持其他某些性能的特征。Therefore, due to the harsh underwater environmental conditions, noise and strong interference, the usual derivation method is not applicable. In order to reduce the influence of signal derivation on system stability and make the control law easy to implement, the embodiment of the present invention provides a control method for trajectory tracking of an underwater vehicle, which provides a concise control input expression and is easy to apply in engineering; and By inputting the signal into the filter to replace the derivation of the current signal to suppress high-frequency noise, external interference, and parameter uncertainty, the robustness of the system is enhanced. certain performance characteristics.
需要说明的是,本实施例中的系统是指水下航行器轨迹的控制系统。下文提到的水下航行器也可以称为航行器。It should be noted that, the system in this embodiment refers to the control system of the trajectory of the underwater vehicle. The underwater vehicle mentioned below may also be referred to as a vehicle.
下面结合附图对本发明实施例的方案进行描述。The solutions of the embodiments of the present invention will be described below with reference to the accompanying drawings.
水下航行器在x方向与y方向分别具有一个推进器,由螺旋桨驱动产生推理,通过调节推力的大小产生控制力矩,实现转向的目的,如图1所示,定义水下航行器的航向角为θ,位置为P=[x y]T,控制输入为为q=[v ω]T,v 和ω分别为航行器的线速度和角速度。在下面各个实施例的描述中,v也可以称为速度。The underwater vehicle has a propeller in the x direction and the y direction respectively, which is driven by the propeller to generate inference, and the control torque is generated by adjusting the size of the thrust to achieve the purpose of steering. As shown in Figure 1, the heading angle of the underwater vehicle is defined. is θ, the position is P=[xy] T , the control input is q=[v ω] T , v and ω are the linear and angular velocities of the vehicle, respectively. In the description of the various embodiments below, v may also be referred to as velocity.
可得运动学以及动力学方程为:The available kinematics and dynamic equations are:
其中m为水下航行器的质量,I为转动惯量;F为控制力,τ为控制力矩; C1(v),C2(ω)为科氏矩阵;D1(v),D2(v)为水动力阻尼矩阵。由上式(1)可见,该模型共有2个自由度,模型输出为3个变量,为欠驱动系统,只能实现2 个变量的主动跟踪,剩余的变量为随动或镇定状态。通过设计控制力F以及控制力矩τ实现移动航行器对参考速度pd的跟踪,夹角θ的随动。Where m is the mass of the underwater vehicle, I is the moment of inertia; F is the control force, τ is the control torque; C 1 (v), C 2 (ω) are Coriolis matrices; D 1 (v), D 2 ( v) is the hydrodynamic damping matrix. It can be seen from the above formula (1) that the model has 2 degrees of freedom, and the model output is 3 variables, which is an underactuated system, and can only achieve active tracking of 2 variables, and the remaining variables are in the follow-up or steady state. By designing the control force F and the control torque τ, the tracking of the mobile vehicle to the reference speed p d and the follow-up of the included angle θ are realized.
图2是本发明实施例提供的一种水下航行器轨迹控制方法的流程示意图。该方法的执行主体是水下航行器,该水下航行器也称为系统,如图2所示,该方法可以包括以下步骤:FIG. 2 is a schematic flowchart of a method for controlling a trajectory of an underwater vehicle according to an embodiment of the present invention. The execution body of the method is an underwater vehicle, which is also called a system. As shown in Figure 2, the method may include the following steps:
S110,接收目标信号,目标信号携带欲达到的目标位置信息。S110: Receive a target signal, where the target signal carries target position information to be reached.
系统接收期望达到的目标位置(x1d,y1d)的目标信号pd=(x1d,y1d)T,如图3所示。其中,pd=(x1d,y1d)T用于描述系统航行的目标位置,以及目标运动状态,其中,目标运动状态包括系统航行的目标速度,系统航行的目标方向角度等状态信息。图3是本发明实施例提供的一种统框架示意图,该系统框架示意图示出了控制水下航行器轨迹的内部实现过程。The system receives the target signal p d =(x 1d , y 1d ) T at the desired target position (x 1d , y 1d ), as shown in FIG. 3 . Among them, p d =(x 1d , y 1d ) T is used to describe the target position of the system navigation and the target motion state, wherein the target motion state includes the target speed of the system navigation, the target direction angle of the system navigation and other state information. FIG. 3 is a schematic diagram of a system framework provided by an embodiment of the present invention, and the schematic diagram of the system framework shows an internal implementation process of controlling the trajectory of an underwater vehicle.
S120,根据当前的位置信息与目标位置信息确定第一状态信号,第一状态信号携带第一方向角度和第一速度。S120: Determine a first state signal according to the current position information and the target position information, where the first state signal carries the first direction angle and the first speed.
第一方向角度是根据当前的位置信息(x,y)和目标位置信息(x1d,y1d)确定理想方向角度也称为航向角。第一速度是根据当前的位置信息(x1,y1)和目标位置信息(x1d,y1d)确定的理想线速度 The first direction angle is to determine the ideal direction angle according to the current position information (x, y) and the target position information (x 1d , y 1d ) Also called heading angle. The first velocity is the ideal linear velocity determined according to the current position information (x 1 , y 1 ) and the target position information (x 1d , y 1d )
在一个实施例中,如图3所示,系统根据(x,y)和(x1d,y1d)确定和的具体过程如下:In one embodiment, as shown in Figure 3, the system determines from (x, y) and (x 1d , y 1d ) and The specific process is as follows:
系统基于当前的位置信息(x,y)和目标信号中携带的目标位置信息 (x1d,y1d),通过位置动力学模型、位置偏差量计算后得到的第一状态信号,第一状态信号携带第一速度和第一方向角度 The system is based on the current position information (x, y) and the target position information (x 1d , y 1d ) carried in the target signal, the first state signal obtained by calculating the position dynamics model and the position deviation, the first state signal carry first speed and the first direction angle
其中,位置动力学模型用于描述系统的位置和运动状态。假设x1=x, y1=y,θ1=θ,θ2=ω。由式(1)可得位置动力学模型:Among them, the position dynamics model is used to describe the position and motion state of the system. Suppose x 1 =x, y 1 =y, θ 1 =θ, θ 2 =ω. The position dynamics model can be obtained from equation (1):
以及,as well as,
其中,式(2)可以称为水下航行器的位置子系统,式(3)可以称为水下航行器的姿态子系统。位置偏差量也可以称为系统位置误差,即目标信号 pd=(x1d,y1d)T欲达到的目标位置信息实际值,当前的位置信息是测量值,则认为当前的位置信息和目标位置信息的差值为系统位置误差,即位置偏差量。位置连差量包括x方向的位置偏差量和y方向的位置偏差量,即:Among them, the formula (2) can be called the position subsystem of the underwater vehicle, and the formula (3) can be called the attitude subsystem of the underwater vehicle. The position deviation can also be called the system position error, that is, the target signal p d =(x 1d , y 1d ) T is the actual value of the target position information to be reached, and the current position information is the measured value, then it is considered that the current position information and the target The difference of the position information is the system position error, that is, the position deviation. The position continuous difference includes the position deviation in the x-direction and the position deviation in the y-direction, namely:
S1x=x1-x1d S 1x =x 1 -x 1d
S1y=y1-y1d (4)S 1y =y 1 -y 1d (4)
其中,S1x是当前的位置信息和目标位置信息在x方向的位置偏差量,S1y是当前的位置信息和目标位置信息在y方向的位置偏差量。Among them, S 1x is the position deviation amount of the current position information and the target position information in the x direction, and S 1y is the position deviation amount of the current position information and the target position information in the y direction.
由此可知,则将式(2)代入可得:From this, it can be seen that Substitute into formula (2) to get:
因为系统为欠驱动系统,仅仅设计v是无法同时跟踪x和y两个方向的位置信息,因此理想的角度信息也要作为控制量,以克服欠驱动问题。控制目标选取为跟踪位置和角度,位置子系统与姿态子系统间接控制位置变量,设计控制力F使得v跟踪目标速度设计控制力矩τ使得θ1跟踪目标角度 Because the system is an underactuated system, only designing v is unable to track the position information in both x and y directions at the same time, so the ideal angle information Also as a control variable to overcome the underactuated problem. Control target selection as tracking position and angle, position subsystem and attitude subsystem Indirectly control the position variable, design the control force F so that v tracks the target speed Design the control torque τ so that θ 1 tracks the target angle
因此,设计第一个Lyapunov函数为:Therefore, the first Lyapunov function is designed as:
可得,Available,
定义第一状态信号为:Define the first state signal as:
其中,k1x,k1y分别是预设定的控制增益值。Wherein, k 1x and k 1y are preset control gain values respectively.
将式(8)代入式(5)可得:Substitute equation (8) into equation (5) to get:
其中,in,
结合式(7)可得:Combining formula (7), we can get:
第一速度是航行过程中理想的速度,第一方向角度是航行过程中理想的航向角。first speed is the ideal speed during sailing, the first direction angle It is the ideal heading angle during sailing.
根据式(8)可知,将取值范围限制在(-π/2,π/2),得到满足理想姿态轨迹跟踪的为:According to formula (8), it can be known that, Will The value range is limited to (-π/2, π/2), and the ideal attitude trajectory tracking is obtained. for:
即上式所求得的为位置控制律所要求的理想角度,如果水下航行器的实际角度θ1与理想角度相等,则理想的轨迹控制律可实现,但实际θ1与不可能完全一致,尤其是控制的初始阶段,这会造成闭环跟踪系统的不稳定。that is obtained by the above formula is the ideal angle required by the position control law, if the actual angle θ 1 of the underwater vehicle is different from the ideal angle equal, the ideal trajectory control law can be realized, but the actual θ 1 and It is impossible to be completely consistent, especially in the initial stage of control, which will cause instability of the closed-loop tracking system.
如果按照通常的滑模控制方法,需要对式(12)与式(13)进行求导,以实现轨迹跟踪。分别对式(12)、式(13)求导可得:If the usual sliding mode control method is used, equations (12) and (13) need to be derived to achieve trajectory tracking. Taking the derivation of formula (12) and formula (13) respectively, we can get:
将式(15)、式(15)展开,项数十分复杂;而且,随着求导阶次的增加所得的结果会更加复杂,造成“微分爆炸”。Expanding equations (15) and (15), the number of terms is very complex; moreover, with the increase of the derivative order, the result will be more complicated, resulting in "differential explosion".
本发明实施例为了解决上述问题,在系统中增加滤波组件,该滤波组件可以是一阶低通滤波器,利用滤波器的输出代替原信号,避免对信号求导。将输入到低通滤波器,即执行S130。需要说明的是,在该实施例中,滤波组件可以包括多个滤波组件。In order to solve the above problem, the embodiment of the present invention adds a filter component to the system, and the filter component may be a first-order low-pass filter, and the output of the filter is used to replace the original signal, so as to avoid the derivation of the signal. Will input to the low-pass filter, that is, execute S130. It should be noted that, in this embodiment, the filtering component may include multiple filtering components.
S130,利用第一滤波组件对第一状态信号进行处理得到第二方向角度和第二速度。S130, using the first filter component to process the first state signal to obtain the second direction angle and the second speed.
考虑到系统的噪声会对信号的求导过程产生强干扰,造成很大的误差,影响系统的稳定性,引入滤波组件,将中间信号和进行滤波,得到输出信号第二方向角度θ1d和第二速度v1d。在图3的与滤波组件中设定第一时间常数τ1θ和第二时间常数τ1v,τ1θ用于对中间信号进行滤波,τ1v用于对中间信号进行滤波;τ1θ和τ1v数值的设置会影响到滤波效果。Considering that the noise of the system will cause strong interference to the derivation process of the signal, causing large errors and affecting the stability of the system, a filter component is introduced to convert the intermediate signal. and Filtering is performed to obtain the second direction angle θ 1d and the second velocity v 1d of the output signal. The first time constant τ 1θ and the second time constant τ 1v are set in the AND filter assembly of FIG. 3 , and τ 1θ is used to adjust the intermediate signal for filtering, τ 1v is used for the intermediate signal Filter; the settings of τ 1θ and τ 1v will affect the filtering effect.
在一个实施例中,滤波组件满足一下关系:In one embodiment, the filter component satisfies the following relationship:
其中τ1θ,τ1v为滤波器的时间常数;为滤波器的输入;θ1d,v1d为滤波器的输出。where τ 1θ and τ 1v are the time constants of the filter; is the input of the filter; θ 1d , v 1d are the output of the filter.
S140,根据第二速度确定控制力,以使得水下航行器的航行速度在控制力的作用下达到目标速度。S140: Determine the control force according to the second speed, so that the sailing speed of the underwater vehicle reaches the target speed under the action of the control force.
接着使用经滤波后得到的v1d,以及当前速度与经滤波后得到的v1d的速度偏差量S1v代入设计的控制力F公式:Then use the filtered v 1d and the speed deviation S 1v between the current speed and the filtered v 1d to substitute into the designed control force F formula:
其中,F是控制力,m是系统质量,k1v是第一增益值,S1v是速度偏差量, v1d是第二速度,S1x是当前的位置信息和目标位置信息在x方向的位置偏差量, S1y是当前的位置信息和目标位置信息在y方向的位置偏差量,v是当前的速度,θ1是当前的方向角度,是第一速度,是第一方向角度,C1(v)为科氏矩阵; D1(v)为水动力阻尼矩阵。需要说明的是,这里的k1v是预先设置的增益值,或者称为控制增益值。Among them, F is the control force, m is the system mass, k 1v is the first gain value, S 1v is the speed deviation, v 1d is the second speed, and S 1x is the current position information and the position of the target position information in the x direction Deviation, S 1y is the position deviation between the current position information and the target position information in the y direction, v is the current speed, θ 1 is the current direction angle, is the first speed, is the first direction angle, C 1 (v) is the Coriolis matrix; D 1 (v) is the hydrodynamic damping matrix. It should be noted that k 1v here is a preset gain value, or is called a control gain value.
求得控制力F,然后再根据位置动力学模型Obtain the control force F, and then according to the position dynamics model
得到v和x1,y1,该v和x1,y1在本发明实施中是个不断被更新的值,当根据当前的速度v求得F后,根据F求得新的v,进一步积分得到x1和y1,并更新当前的速度v,以保证航行器能按照预设的v航行,从而使航行器位置坐标x1,y1能够跟踪目标信号pd=(x1d,y1d)T。Obtain v and x 1 , y 1 . The v and x 1 , y 1 are values that are constantly updated in the implementation of the present invention. After obtaining F according to the current speed v, obtain a new v according to F, and further integrate Obtain x 1 and y 1 , and update the current speed v to ensure that the vehicle can sail according to the preset v, so that the vehicle position coordinates x 1 , y 1 can track the target signal p d =(x 1d , y 1d ) T .
S150,根据第二方向角度确定控制力矩,以使得水下航行器的航行方向角度在控制力矩的作用下达到目标方向角度。S150: Determine the control torque according to the second direction angle, so that the sailing direction angle of the underwater vehicle reaches the target direction angle under the action of the control torque.
系统使用经滤波后得到的θ1d,以及当前方向角度θ1与经滤波后得到的θ1d的角度偏差量S1θ确定第二状态信号,第二状态信号携带第一角速度 The system uses the filtered θ 1d and the angle deviation S 1θ between the current direction angle θ 1 and the filtered θ 1d to determine the second state signal, and the second state signal carries the first angular velocity
其中,k1θ是预先设置的控制增益值。然后利用第二滤波器组件对第二状态信号进行处理得到第二角速度θ2d,其中,在第二滤波组件对第二状态信号进行处理过程中,设置了时间常数τ2θ,以满足第二滤波组件对第二状态信号的滤波效果。接着,依据当前的角速度θ2=ω与第二角速度θ2d的角速度偏差量 S2θ,以及第二角速度θ2d确定控制力矩τ,具体的将这些量代入设计的控制力矩τ公式:Among them, k 1θ is a preset control gain value. Then, the second state signal is processed by the second filter component to obtain the second angular velocity θ 2d , wherein, in the process of processing the second state signal by the second filter component, a time constant τ 2θ is set to satisfy the second filter component. The filtering effect of the component on the second state signal. Next, according to the current angular velocity θ 2 =ω and the angular velocity deviation S 2θ of the second angular velocity θ 2d , and the second angular velocity θ 2d , determine the control torque τ, and specifically substitute these quantities into the designed control torque τ formula:
其中,τ是控制力矩,I是转动惯量,k2θ是第二增益值,S2θ是角速度偏差量,θ2d是第二角速度,S1θ是角度偏差量,ω为航行器角速度,C2(ω)为科氏矩阵;D2(v)为水动力阻尼矩阵。需要说明的是,这里的k2θ是预先设置的增益值,或者称为控制增益值。得到控制力矩τ,并根据公式:Among them, τ is the control torque, I is the moment of inertia, k 2θ is the second gain value, S 2 θ is the angular velocity deviation, θ 2d is the second angular velocity, S 1 θ is the angular deviation, ω is the vehicle angular velocity, C 2 ( ω) is the Coriolis matrix; D 2 (v) is the hydrodynamic damping matrix. It should be noted that k 2θ here is a preset gain value, or is called a control gain value. The control torque τ is obtained, and according to the formula:
得到θ1。因为θ1=θ,即得到航行角θ。在该实施例中,航行角θ也是不断被更新的值,当根据当前的θ求得控制力矩τ时,再由控制力矩τ求得θ,以保证能按照预设的航向角θ航行。to get θ 1 . Since θ 1 =θ, the sailing angle θ is obtained. In this embodiment, the sailing angle θ is also a value that is constantly updated. When the control torque τ is obtained according to the current θ, θ is obtained from the control torque τ to ensure that the sailing can follow the preset heading angle θ.
整个航行过程中按照预设的航行速度vd以及预设的航行角θd航行,即实现了按照预设的轨迹pd=(x1d,y1d)T行驶。采用本发明实施例增加滤波器件对中间信号进行滤波处理,避免了查分求导导致系统噪声的放大,避免了在存在噪声、参数不确定,外外界干扰等恶劣条件下,无法精确获得信号的导数的问题,抑制高频噪声、外界干扰、参数不确定,增强了系统的鲁棒性,提高了系统的稳定性,而且使控制律容易实现。且采用设计的控制力和控制力矩的关系式比较简洁,易于用于工程应用。During the whole sailing process, the sailing is carried out according to the preset sailing speed v d and the predetermined sailing angle θ d , that is, the sailing according to the preset trajectory p d =(x 1d , y 1d ) T is realized. Using the embodiment of the present invention to increase the filter element to filter the intermediate signal, avoid the amplification of the system noise caused by the search and derivation, and avoid the inability to accurately obtain the derivative of the signal under harsh conditions such as noise, parameter uncertainty, and external interference. It can suppress high-frequency noise, external interference, and parameter uncertainty, enhance the robustness of the system, improve the stability of the system, and make the control law easy to implement. And the relationship between the designed control force and the control torque is relatively simple, and it is easy to be used in engineering applications.
需要说明的是,在图3所示的系统中设置了滤波组件,包括第一滤波组件和第二滤波组件,第一滤波组件和第二滤波组件可以是滤波器,或者是具有滤波功能的设备。在一个实施例中,第一滤波组件和第二滤波组件可以是同一个滤波组件,也可以是分别独立的滤波组件,在该实施例中不作限定。It should be noted that a filtering component is set in the system shown in FIG. 3, including a first filtering component and a second filtering component, and the first filtering component and the second filtering component may be filters, or devices with filtering functions . In one embodiment, the first filtering component and the second filtering component may be the same filtering component, or may be separate filtering components, which are not limited in this embodiment.
还需说明的是,在该实施例中,“第一”,“第二”仅仅是为了区分事物,并不对事物本身进行限定。It should also be noted that, in this embodiment, "first" and "second" are only for distinguishing things, and do not limit the things themselves.
图3中直接采用设计好的控制力F和控制力矩τ实现了水下航行器轨迹的控制,下面对控制力F和控制力矩τ的设计过程进行描述。In Fig. 3, the designed control force F and control torque τ are directly used to realize the control of the trajectory of the underwater vehicle. The design process of the control force F and the control torque τ is described below.
首先,定义位置跟踪误差(或称为速度偏差量)为:First, define the position tracking error (or called velocity deviation) as:
S1v=v-v1d (17)S 1v = vv 1d (17)
由于控制目标为使v跟踪而上述定义的位置跟踪误差是v与v1d之间的误差,换句话讲,也就是v与v1d之间的偏差量。如果那么v跟踪或v1d是等价的。定义与v1d之间的滤波边界层误差为:Since the control objective is to make v track The position tracking error defined above is the error between v and v 1d , in other words, the deviation between v and v 1d . if then v track or v 1d is equivalent. definition The filtered boundary layer error with v 1d is:
若能保证S1v→0且显然 If it can be guaranteed that S 1v → 0 and obviously
设计第二个Lyapunov函数为:Design the second Lyapunov function as:
求导可得:Guidance can be obtained:
由式(16)可知,代入式(20)展开可得:From equation (16), it can be known that, Substitute into formula (20) and expand it to get:
设计位置控制力为:The design position control force is:
将式(22)代入式(21)可得:Substitute equation (22) into equation (21) to get:
上述是对控制力F的设计,下面描述控制力矩τ的设计过程:The above is the design of the control force F, and the design process of the control torque τ is described below:
定义姿态跟踪误差(或称为角度偏差量)为:The attitude tracking error (or called angle deviation) is defined as:
S1θ=θ1-θ1d (24)S 1θ = θ 1 -θ 1d (24)
控制目标为使θ1跟踪而上述定义的姿态跟踪误差是为了使θ1跟踪θ1d,如果那么θ1跟踪与θ1d二者是等价的。定义与θ1d之间的滤波边界层误差为:The control objective is to make θ 1 track And the attitude tracking error defined above is to make θ 1 track θ 1d , if Then theta 1 tracks Both are equivalent to θ 1d . definition The filtered boundary layer error with θ 1d is:
得设计第三个Lyapunov函数为:have to Design the third Lyapunov function as:
求导可得:Guidance can be obtained:
设计虚拟控制律为:The virtual control law is designed as:
将输入到如下低通滤波器中,Will into the following low-pass filter,
其中τ2θ为滤波器的时间常数;为滤波器的输入;θ2d为滤波器的输出。与式(24)和式(25)类似,定义第二组姿态跟踪误差与滤波边界层误差:where τ 2θ is the time constant of the filter; is the input of the filter; θ 2d is the output of the filter. Similar to Equation (24) and Equation (25), define the second set of attitude tracking error and filter boundary layer error:
S2θ=θ2-θ2d S 2θ =θ 2 -θ 2d
可得,Available,
根据式(16)可知,又根据式(30)并结合式(28)可知,According to formula (16), it can be known that, According to equation (30) and combined with equation (28), it can be known that,
将上述结果代入式(27)可得:Substituting the above result into equation (27) can get:
设计第四个Lyapunov函数为:The fourth Lyapunov function is designed as:
求导可得:Guidance can be obtained:
根据式(29)可知,According to formula (29), it can be known that,
根据式(28)与式(31)可知,According to formula (28) and formula (31), it can be known that,
将式(32)与式(35)代入式(34)可得:Substitute equations (32) and (35) into equations (34) to get:
设计姿态控制力矩为:The design attitude control torque is:
如前所述设计了控制力F和控制力矩τ,下面对设计的控制力F和控制力矩τ的稳定性进行分析:The control force F and control torque τ are designed as described above, and the stability of the designed control force F and control torque τ is analyzed below:
将式(38)代入式(37)可得:Substitute equation (38) into equation (37) to get:
将式(23)代入式(39),整理可得:Substituting equation (23) into equation (39), we can get:
由滤波边界层误差的定义可得:From the definition of the filter boundary layer error, we can get:
根据式(8)、式(14)、式(15)可知,存在非负连续函数B1v、B1θ、B2θ满足:According to formula (8), formula (14) and formula (15), it can be known that there are non-negative continuous functions B 1v , B 1θ , B 2θ satisfying:
假设1、跟踪目标轨迹pd是有界的,存在正数χ1使得成立,存在正数χ2使得成立。Assumption 1. The tracking target trajectory p d is bounded, and there is a positive number χ 1 such that holds, there is a positive number χ 2 such that established.
定理1:对于式(1)所描述的航行器系统,采用式(22)以及式(38)所设计的控制力以及控制力矩。在假设1的基础上,当系统初始值V4(0)≤c,c为任意正常数。那么可以通过调节控制增益k1x、k1y、k1v、k1θ、k2θ;函数B1v、B1θ、 B2θ;时间常数τ1v、τ1θ、τ2θ使航行器的状态信号半全局一致有界,其跟踪误差限定在一个小的残集中。Theorem 1: For the aircraft system described by formula (1), the control force and control torque designed by formula (22) and formula (38) are used. On the basis of Assumption 1, when the initial value of the system V 4 (0)≤c, c is any positive constant. Then, the state signals of the aircraft can be semi-globally consistent by adjusting the control gains k 1x , k 1y , k 1v , k 1θ , k 2θ ; functions B 1v , B 1θ , B 2θ ; time constants τ 1v , τ 1θ , τ 2θ Bounded, whose tracking error is confined to a small residual.
证:利用杨氏不等式,式(40)满足:Proof: Using Young's inequality, equation (40) satisfies:
在V4(0)≤p成立的基础上,设Ω1和Ω2为紧集,则对它们的表述为:On the basis of the establishment of V 4 (0)≤p, let Ω 1 and Ω 2 be compact sets, then they can be expressed as:
可知Ω1×Ω2也是紧集。在V≤c成立时,B1v、B1θ、B2θ在Ω1×Ω2上有最大值,记为:M1v、M1θ、M2θ。因此满足:It can be seen that Ω 1 ×Ω 2 is also a compact set. When V≤c is established, B 1v , B 1θ , and B 2θ have maximum values on Ω 1 ×Ω 2 , which are denoted as M 1v , M 1θ , and M 2θ . therefore Satisfy:
又因为also because
将式(46)代入式(45)Substitute equation (46) into equation (45)
选取系统的控制参数如下:k1θ≥1+r,其中r可以设定系统最终的误差,则 The control parameters of the selected system are as follows: k 1θ ≥1+r, where r can set the final error of the system, then
当V4=c时,由于B*≤M*(*=1v,1θ,2θ),可得因此可知 V4≤c为系统的不变集;此外,当V4(0)≤c,即对任意t>0都有V4(t)≤c。When V 4 =c, since B * ≤ M * (*=1v, 1θ, 2θ), we can get Therefore, it can be known that V 4 ≤c is an invariant set of the system; in addition, when V 4 (0)≤c, that is, V 4 (t)≤c for any t>0.
可得Available
求解(48)可得Solving (48) can get
因此闭环系统的所有信号是有界的,而且Therefore all signals of a closed-loop system are bounded, and
由上式可知,增大参数r可通过调节调节控制增益k1x、k1y、k1v、k1θ、k2θ;函数B1v、B1θ、B2θ;时间常数τ1v、τ1θ、τ2θ来实现,使得V4(t)收敛到一个残集,跟踪误差可以任意小,满足工程需要。It can be seen from the above formula that increasing the parameter r can adjust the control gains k 1x , k 1y , k 1v , k 1θ , k 2θ ; functions B 1v , B 1θ , B 2θ ; time constants τ 1v , τ 1θ , τ 2θ To achieve, make V 4 (t) converge to a residual set, the tracking error can be arbitrarily small, to meet the needs of engineering.
通过控制力输入式(22)可知,所需的信号中需要而当输入滤波器后满足通过滤波器的输入与输出v1d的线性运算避免了对信号的求导;通过控制力矩输入式(38)可知,所需的信号中需要而当输入滤波器后满足通过滤波器的输入与输出θ2d的线性运算避免了对信号的求导;增强了系统对噪声干扰、参数不确定的鲁棒性。From the control force input formula (22), it can be known that the required signal needs to be and when After the input filter is satisfied input through filter The linear operation with the output v 1d avoids the derivation of the signal; through the control torque input equation (38), it can be seen that the required signal needs and when After the input filter is satisfied input through filter The linear operation with the output θ 2d avoids the derivation of the signal; it enhances the robustness of the system to noise interference and parameter uncertainty.
在一个具体实施例中,例如,水下航行器的质量为m=10Kg,转动惯量为 I=4Kg·m2。控制目标为pd=(-5+t,sin(0.5t)+1)Tm;控制增益为:k1x=5,k1y=5, k1v=5,k1θ=5,k2θ=5;滤波器时间常数为:τ1v=0.02,τ1θ=0.02,τ2θ=0.02;初始状态为p(0)=(-6,-2)Tm,θ(0)=0°,通过本发明实施例提供的水下航行器轨迹的控制方法得到图4至图6的示意图。In a specific embodiment, for example, the mass of the underwater vehicle is m=10Kg, and the moment of inertia is I=4Kg·m 2 . The control target is p d =(-5+t, sin(0.5t)+1) T m; the control gain is: k 1x =5, k 1y =5, k 1v =5, k 1θ =5, k 2θ = 5; The filter time constant is: τ 1v =0.02, τ 1θ =0.02, τ 2θ =0.02; the initial state is p(0)=(-6,-2) T m, θ(0)=0°, through The method for controlling the trajectory of the underwater vehicle provided by the embodiment of the present invention obtains the schematic diagrams in FIGS. 4 to 6 .
其中,图4给出了姿态跟踪误差S1θ的示意图,即S1θ的角度(rad)与时间t(s) 的关系示意图。如图4所示,S1θ的角度值在很短时间内趋于零,并保持稳定,证明实际航行的航行角θ1与θ1d的角度相等,即使用该方法可以很好的跟踪水下航行器的航行轨迹,即保证按照预设航行角θ航行。4 shows a schematic diagram of the attitude tracking error S 1θ , that is, a schematic diagram of the relationship between the angle (rad) of S 1θ and the time t(s). As shown in Figure 4, the angle value of S 1θ tends to zero in a very short time and remains stable, which proves that the actual sailing angle θ 1 is equal to the angle of θ 1d , that is, the method can be used to track the underwater well. The sailing trajectory of the aircraft is guaranteed to sail according to the preset sailing angle θ.
图5给出了系统位置跟踪误差的示意图,即系统位置随时间t(s)的关系示意图。如图5所示,大约3s内就能实现x方向位置误差S1x和y方向位置误差 S1y均为零,者表明实际航行的位置信息与设定的航行的位置信息一致,同样表明,使用该方法可以很好的跟踪水下航行器的航行轨迹,即保证按照预设位置航行。Figure 5 shows a schematic diagram of the system position tracking error, that is, a schematic diagram of the relationship between the system position and time t(s). As shown in Figure 5, the position error S 1x in the x direction and the position error S 1y in the y direction can be achieved within about 3s. Both are zero, which means that the actual sailing position information is consistent with the set sailing position information. This method can well track the navigation trajectory of the underwater vehicle, that is, it can ensure the navigation according to the preset position.
图6示出了谁下航行器航行的平面轨迹示意图,如图6所示,实际航行位置P与期望达到的航行位置Pd几乎重合,也表明,使用该方法可以很好的跟踪水下航行器航行的位置轨迹,保证水下航行器按照设定的位置航行。Fig. 6 shows a schematic diagram of the plane trajectory of the navigating vehicle. As shown in Fig. 6, the actual navigating position P almost coincides with the expected navigating position P d , which also shows that the underwater navigation can be well tracked using this method The position track of the underwater vehicle can be used to ensure that the underwater vehicle can navigate according to the set position.
本发明实施例还提供了一种水下航行器轨迹的控制系统,如图7所示,该控制系统700包括:An embodiment of the present invention further provides a control system for the trajectory of an underwater vehicle. As shown in FIG. 7 , the control system 700 includes:
接收模块710,用于接收目标信号,目标信号携带欲达到的目标位置信息;The receiving module 710 is used for receiving a target signal, and the target signal carries the target position information to be reached;
确定模块720,用于根据当前的位置信息与目标位置信息确定第一状态信号,第一状态信号携带第一方向角度和第一速度;A determination module 720, configured to determine a first state signal according to the current position information and the target position information, where the first state signal carries the first direction angle and the first speed;
第一滤波组件730,用于对第一状态信号进行处理得到第二方向角度和第二速度;a first filtering component 730, configured to process the first state signal to obtain a second direction angle and a second speed;
所述确定单元720,还用于根据第二速度确定控制力,以使得水下航行器的航行速度在控制力作用下达到目标速度;The determining unit 720 is further configured to determine the control force according to the second speed, so that the sailing speed of the underwater vehicle reaches the target speed under the action of the control force;
所述确定单元720,还用于根据第二方向角度确定控制力矩,以使得水下航行器的航行方向角度在控制力矩的作用下达到目标方向角度。The determining unit 720 is further configured to determine the control torque according to the second direction angle, so that the navigation direction angle of the underwater vehicle reaches the target direction angle under the action of the control torque.
可选地,在一个实施例中,第一滤波组件730具体用于:Optionally, in one embodiment, the first filtering component 730 is specifically configured to:
通过对第一滤波组件设定第一时间常数,并利用第一滤波组件对第一方向角度进行处理得到第二方向角度;The second direction angle is obtained by setting the first time constant for the first filter component and processing the first direction angle by the first filter component;
通过对第一滤波组件设定第二时间常数,并利用第一滤波组件对第一速度进行处理得到第二速度。The second speed is obtained by setting the second time constant to the first filter component and processing the first speed by the first filter component.
可选地,在一个实施例中,第二方向角度与第一时间常数,以及第二速度与第二时间常数分别满足以下关系:Optionally, in one embodiment, the second direction angle and the first time constant, and the second speed and the second time constant respectively satisfy the following relationships:
其中,τ1θ是第一时间常数,τ1v是第二时间常数;是第一方向角度,是第一速度;θ1d是第二方向角度,v1d是第二速度。where τ 1θ is the first time constant, and τ 1v is the second time constant; is the first direction angle, is the first velocity; θ 1d is the second directional angle, and v 1d is the second velocity.
可选地,在一个实施例中,确定单元720具体用于:Optionally, in one embodiment, the determining unit 720 is specifically configured to:
根据当前的位置信息,目标位置的信息,以及第二速度确定控制力。The control force is determined according to the current position information, the target position information, and the second speed.
可选地,在一个实施例中,确定单元720具体用于:Optionally, in one embodiment, the determining unit 720 is specifically configured to:
计算当前的位置信息与目标位置信息的位置偏差量;Calculate the position deviation between the current position information and the target position information;
计算当前的速度与第二速度的速度偏差量;Calculate the speed deviation between the current speed and the second speed;
根据位置偏差量和速度偏差量确定控制力。The control force is determined according to the position deviation amount and the speed deviation amount.
进一步,在一个实施例中,第二速度与控制力满足以下关系:Further, in one embodiment, the second speed and the control force satisfy the following relationship:
其中,F是控制力,m是水下航行器的质量,k1v是第一增益值,S1v是速度偏差量,v1d是第二速度,S1x是当前的位置信息和目标位置信息在x方向的位置偏差量,S1y是当前的位置信息和目标位置信息在y方向的位置偏差量,v 是当前的速度,θ1是当前的方向角度,是第一速度,是第一方向角度,C1(v) 为科氏矩阵;D1(v)为水动力阻尼矩阵。Among them, F is the control force, m is the mass of the underwater vehicle, k 1v is the first gain value, S 1v is the speed deviation, v 1d is the second speed, and S 1x is the current position information and target position information at The position deviation in the x direction, S 1y is the position deviation between the current position information and the target position information in the y direction, v is the current speed, θ 1 is the current direction angle, is the first speed, is the first direction angle, C 1 (v) is the Coriolis matrix; D 1 (v) is the hydrodynamic damping matrix.
可选地,在一个实施例中,根据第二方向角度确定控制力矩,包括:Optionally, in one embodiment, determining the control torque according to the second direction angle includes:
计算当前的方向角度与第二方向角度的角度偏差量;Calculate the angle deviation between the current direction angle and the second direction angle;
根据第二方向角度和角度偏差量确定控制力矩。The control torque is determined according to the second direction angle and the angle deviation.
在另一个可能的实现中,该控制系统还包括第二滤波组件740;In another possible implementation, the control system further includes a second filtering component 740;
确定单元720用于根据第二方向角度和角度偏差量计算第二状态信号,第二状态信号携带第一角速度;The determining unit 720 is configured to calculate a second state signal according to the second direction angle and the angle deviation, and the second state signal carries the first angular velocity;
第二滤波组件740对第二状态信号进行处理得到第二角速度;The second filtering component 740 processes the second state signal to obtain the second angular velocity;
确定单元720根据当前的角速度与第二角速度的角速度偏差量,以及第二角速度确定控制力矩。The determining unit 720 determines the control torque according to the angular velocity deviation between the current angular velocity and the second angular velocity, and the second angular velocity.
进一步,在一个实施例中,第二速度与控制力矩满足以下关系:Further, in one embodiment, the second speed and the control torque satisfy the following relationship:
其中,τ是控制力矩,I是转动惯量,k2θ是第二增益值,S2θ是角速度偏差量,θ2d是第二角速度,S1θ是角度偏差量,ω为航行器角速度,C2(ω)为科氏矩阵;D2(v)为水动力阻尼矩阵。Among them, τ is the control torque, I is the moment of inertia, k 2θ is the second gain value, S 2 θ is the angular velocity deviation, θ 2d is the second angular velocity, S 1 θ is the angular deviation, ω is the vehicle angular velocity, C 2 ( ω) is the Coriolis matrix; D 2 (v) is the hydrodynamic damping matrix.
该系统700可以实现图2和图3中的方法/步骤,且能达到相同的技术效果,为简洁描述,在此不再赘述。The system 700 can implement the methods/steps shown in FIG. 2 and FIG. 3 , and can achieve the same technical effect, which is not repeated here for brevity.
需要说明的是,在一个实施例中,第一滤波组件和第二滤波组件可以是同一个滤波组件,也可以是独立的滤波组件,在该实施例中不作限定。It should be noted that, in an embodiment, the first filtering component and the second filtering component may be the same filtering component, or may be independent filtering components, which are not limited in this embodiment.
专业人员应该还可以进一步意识到,结合本文中所公开的实施例描述的各示例的单元及算法步骤,能够以电子硬件、计算机软件或者二者的结合来实现,为了清楚地说明硬件和软件的可互换性,在上述说明中已经按照功能一般性地描述了各示例的组成及步骤。这些功能究竟以硬件还是软件方式来执行,取决于技术方案的特定应用和设计约束条件。专业技术人员可以对每个特定的应用来使用不同方法来实现所描述的功能,但是这种实现不应认为超出本发明的范围。Professionals should be further aware that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, computer software, or a combination of the two. Interchangeability, the above description has generally described the components and steps of each example in terms of function. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Skilled artisans may implement the described functionality using different methods for each particular application, but such implementations should not be considered beyond the scope of the present invention.
结合本文中所公开的实施例描述的方法或算法的步骤可以用硬件、处理器执行的软件模块,或者二者的结合来实施。软件模块可以置于随机存储器 (RAM)、内存、只读存储器(ROM)、电可编程ROM、电可擦除可编程ROM、寄存器、硬盘、可移动磁盘、CD-ROM、或技术领域内所公知的任意其它形式的存储介质中。The steps of a method or algorithm described in connection with the embodiments disclosed herein may be implemented in hardware, a software module executed by a processor, or a combination of the two. A software module can be placed in random access memory (RAM), internal memory, read only memory (ROM), electrically programmable ROM, electrically erasable programmable ROM, registers, hard disk, removable disk, CD-ROM, or any other in the technical field. in any other known form of storage medium.
以上所述的具体实施方式,对本发明的目的、技术方案和有益效果进行了进一步详细说明,所应理解的是,以上所述仅为本发明的具体实施方式而已,并不用于限定本发明的保护范围,凡在本发明的精神和原则之内,所做的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The specific embodiments described above further describe the objectives, technical solutions and beneficial effects of the present invention in detail. It should be understood that the above descriptions are only specific embodiments of the present invention, and are not intended to limit the scope of the present invention. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included within the protection scope of the present invention.
Claims (10)
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201811641485.7A CN109693774B (en) | 2018-12-29 | 2018-12-29 | Method and system for controlling track of underwater vehicle |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201811641485.7A CN109693774B (en) | 2018-12-29 | 2018-12-29 | Method and system for controlling track of underwater vehicle |
Publications (2)
Publication Number | Publication Date |
---|---|
CN109693774A true CN109693774A (en) | 2019-04-30 |
CN109693774B CN109693774B (en) | 2020-11-03 |
Family
ID=66233113
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN201811641485.7A Active CN109693774B (en) | 2018-12-29 | 2018-12-29 | Method and system for controlling track of underwater vehicle |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN109693774B (en) |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN111781938A (en) * | 2020-06-23 | 2020-10-16 | 中国科学院声学研究所 | Underactuated underwater vehicle and its stabilization method and device |
CN117553787A (en) * | 2024-01-09 | 2024-02-13 | 湖南大学无锡智能控制研究院 | Collaborative navigation method, device and system of underwater unmanned aircraft |
Citations (9)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
GB1133658A (en) * | 1965-05-28 | 1968-11-13 | Litton Industries Inc | A method and apparatus for guiding a vehicle automatically and asymptotically into a predetermined path |
JP2006313087A (en) * | 2005-05-06 | 2006-11-16 | Mitsui Eng & Shipbuild Co Ltd | Method and system for correcting position of detection of underwater vehicle |
CN103576693A (en) * | 2013-11-11 | 2014-02-12 | 哈尔滨工程大学 | Underwater robot three-dimensional path tracking control method based on second-order filter |
CN103699007A (en) * | 2014-01-10 | 2014-04-02 | 大连海事大学 | Ship dynamic positioning system and design method thereof |
CN104076821A (en) * | 2014-06-19 | 2014-10-01 | 哈尔滨工程大学 | Under-actuated surface vehicle trajectory tracking control system based on self-adaptive fuzzy observer |
CN105807789A (en) * | 2016-03-24 | 2016-07-27 | 哈尔滨工程大学 | UUV control method based on T-S fuzzy observer compensation |
CN106444806A (en) * | 2016-09-27 | 2017-02-22 | 哈尔滨工程大学 | Under-actuated AUV (autonomous underwater vehicle) three-dimensional trajectory tracking control method based on biological speed regulation |
CN106873628A (en) * | 2017-04-12 | 2017-06-20 | 北京理工大学 | A kind of multiple no-manned plane tracks the collaboration paths planning method of many maneuvering targets |
CN107168369A (en) * | 2017-06-13 | 2017-09-15 | 中国科学院声学研究所 | The formation control method and system of a kind of drive lacking unmanned vehicle |
-
2018
- 2018-12-29 CN CN201811641485.7A patent/CN109693774B/en active Active
Patent Citations (9)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
GB1133658A (en) * | 1965-05-28 | 1968-11-13 | Litton Industries Inc | A method and apparatus for guiding a vehicle automatically and asymptotically into a predetermined path |
JP2006313087A (en) * | 2005-05-06 | 2006-11-16 | Mitsui Eng & Shipbuild Co Ltd | Method and system for correcting position of detection of underwater vehicle |
CN103576693A (en) * | 2013-11-11 | 2014-02-12 | 哈尔滨工程大学 | Underwater robot three-dimensional path tracking control method based on second-order filter |
CN103699007A (en) * | 2014-01-10 | 2014-04-02 | 大连海事大学 | Ship dynamic positioning system and design method thereof |
CN104076821A (en) * | 2014-06-19 | 2014-10-01 | 哈尔滨工程大学 | Under-actuated surface vehicle trajectory tracking control system based on self-adaptive fuzzy observer |
CN105807789A (en) * | 2016-03-24 | 2016-07-27 | 哈尔滨工程大学 | UUV control method based on T-S fuzzy observer compensation |
CN106444806A (en) * | 2016-09-27 | 2017-02-22 | 哈尔滨工程大学 | Under-actuated AUV (autonomous underwater vehicle) three-dimensional trajectory tracking control method based on biological speed regulation |
CN106873628A (en) * | 2017-04-12 | 2017-06-20 | 北京理工大学 | A kind of multiple no-manned plane tracks the collaboration paths planning method of many maneuvering targets |
CN107168369A (en) * | 2017-06-13 | 2017-09-15 | 中国科学院声学研究所 | The formation control method and system of a kind of drive lacking unmanned vehicle |
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN111781938A (en) * | 2020-06-23 | 2020-10-16 | 中国科学院声学研究所 | Underactuated underwater vehicle and its stabilization method and device |
CN117553787A (en) * | 2024-01-09 | 2024-02-13 | 湖南大学无锡智能控制研究院 | Collaborative navigation method, device and system of underwater unmanned aircraft |
CN117553787B (en) * | 2024-01-09 | 2024-03-26 | 湖南大学无锡智能控制研究院 | Collaborative navigation method, device and system of underwater unmanned aircraft |
Also Published As
Publication number | Publication date |
---|---|
CN109693774B (en) | 2020-11-03 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
Sun et al. | Fixed-time sliding mode disturbance observer-based nonsmooth backstepping control for hypersonic vehicles | |
CN106773713B (en) | High-precision nonlinear path tracking control method for under-actuated marine vehicle | |
CN107479567B (en) | The unknown quadrotor drone attitude controller of dynamic characteristic and method | |
CN108008720B (en) | Fuzzy sliding mode trajectory tracking control and method for wheeled mobile robot | |
CN106444806B (en) | The drive lacking AUV three-dimensional track tracking and controlling method adjusted based on biological speed | |
CN111650929B (en) | Self-adaptive sliding mode control method and system and mobile robot controller | |
CN110716566B (en) | Limited time trajectory tracking control method of under-actuated unmanned ship | |
CN108614426A (en) | A kind of Multi Mobile Robots Formation's robust control method based on interference observer | |
CN106406095B (en) | The asymmetric limited full driving surface vessel Trajectory Tracking Control method of input and output | |
CN107024863A (en) | A kind of UUV Trajectory Tracking Control methods for avoiding differential from exploding | |
CN107807657B (en) | Flexible spacecraft attitude self-adaptive control method based on path planning | |
CN109857100B (en) | Composite track tracking control algorithm based on inversion method and fast terminal sliding mode | |
CN109693774B (en) | Method and system for controlling track of underwater vehicle | |
CN113467245A (en) | Fractional order sliding mode control method, device and system of aircraft | |
Xu et al. | USDE-based continuous sliding mode control for quadrotor attitude regulation: Method and application | |
RU2310899C1 (en) | Method for normalization of control and stabilization signal of longitudinal-balancing motion of flight vehicle and device for its realization | |
CN111061286A (en) | Method for realizing lateral overload control of aircraft by providing damping through filtering differentiation | |
CN111240362B (en) | Control method and device for intelligently guiding aircraft to turn | |
CN105717936A (en) | Snorkeling control method for cable-free autonomous underwater vehicle | |
CN112936277A (en) | Underwater robot-manipulator system fixed time trajectory tracking method | |
CN111781938B (en) | Underactuated underwater vehicle and its stabilization method and device | |
CN113110527A (en) | Cascade control method for finite time path tracking of autonomous underwater vehicle | |
CN114035566A (en) | Design method, system and device of finite-time anti-saturation controller for unmanned boat | |
CN115061488B (en) | A UAV pitch angle control method based on dynamic filter differential | |
CN110625616B (en) | Fixed time control method considering uncertainty and interference of mechanical arm parameters |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
GR01 | Patent grant | ||
GR01 | Patent grant |