CN114967749A - Maneuvering trajectory design method for low-cost altimeter - Google Patents
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Abstract
The invention discloses an optimal maneuvering trajectory design method for a low-cost altimeter, which mainly comprises a height profile design module, a height profile calculation module and a height profile application module. The height profile design module is connected with the height profile calculation module and used for constructing a functional relation about height-residual voyage and extracting key design variables. The height profile calculation module is connected with the height profile design module, the height profile application module and the low-cost air pressure type altimeter and used for obtaining polynomial coefficients related to the height profile by solving an equation set according to given initial conditions, terminal conditions and design parameters so as to determine the final form of the height profile. And the height profile application module is connected with the height profile calculation module and is used for generating real-time normal overload according to the current motion state and the height profile design result. Different from the conventional thought of 'ballistic design-altitude measurement-ballistic correction', the method can provide altitude direction speed, acceleration, jerk and higher derivative information for the altimeter, compensate altitude measurement equipment from a ballistic planning layer, and realize the optimal balance between the control precision of the aircraft and the production and use cost.
Description
Technical Field
The invention belongs to the field of overall design of aircrafts, and relates to an online trajectory planning method suitable for a low-cost air pressure type altimeter.
Background
The invention solves the key contradiction problem between high control precision and low cost of the aircraft by taking low-cost multi-airspace combat missile weapons as background and aiming at the characteristics of large flight airspace, fast altitude change, high response speed and the like.
For high-altitude large-span flight, real-time altitude measurement is usually realized by adopting an air pressure type altimeter, and corresponding measurement information is used as feedback of a trajectory control system, so that online guidance and mission planning are realized. The pneumatic altimeter can give the flying height of the aircraft in real time according to the atmospheric environment, is the most direct and effective means for online height measurement on the missile, is extremely important for ballistic, guidance, navigation and control systems of the aircraft, and has wide application in the fields of aerospace, war industry, civil use and the like. The pneumatic altimeter can adapt to larger flight airspace and altitude change rate, but the inherent defect of the pneumatic altimeter in measurement precision needs to be compensated by technical means.
At present, the precision compensation schemes for the low-cost air pressure type altimeter mainly comprise the following steps:
the first scheme comprises the following steps: the method is compensated by means of high-precision measuring instruments, high-precision inertial measurement units, GPS/Beidou navigator and the like. The above compensation means are generally not desirable for low cost aircraft.
Scheme II: the altitude-air pressure nonlinear solver is used, but is influenced by an unsteady and nonlinear relation between the altitude and the atmospheric environment, so that the high-precision control requirement of the aircraft cannot be met.
The existing ballistic control method based on the low-cost air pressure type altimeter has the following defects:
the first disadvantage is that: the height information measurement accuracy and the real-time property are poor. The low-cost air pressure type altimeter is slightly insufficient in the atmospheric environment measurement sensing precision, cannot adapt to the rapid and large-scale change of the aircraft in height, and cannot provide accurate information input for a high-speed flight trajectory mode of strong maneuvering.
The second disadvantage is that: the cost of improving the accuracy of the height measurement information is high. The inherent deficiency of the low-cost altimeter in the measurement precision is usually made up by means of high-precision measuring instruments, high-precision inertial measurement units, GPS/Beidou navigator and other equipment; these compensation means would significantly increase the manufacturing and usage costs of the height measuring system, and would not be economically desirable.
The third disadvantage is that: the altitude-atmosphere functional relationship has poor adaptability. The sea pressure correction method is a common air pressure type altimeter compensation correction method at present, and the function fitting method is a common means for realizing rapid altitude calculation and correcting measurement data according to an air pressure sensor. However, the relationship between altitude and air pressure is not constant, and cannot be determined analytically, or cannot be expressed comprehensively by using a general fitting method, especially when the aircraft flies at high speed and the altitude changes dramatically.
The defect four is as follows: too strong design constraints affect ballistic design flexibility. In order to use a low-cost air pressure type altimeter, a large number of constraint conditions such as an altitude interval, an altitude change rate, an altitude direction acceleration and the like are generally required to be applied in the design process of a missile weapon system; these constraints greatly limit the feasible domain of ballistic design and do not meet the requirements of highly dynamic combat modes on ballistic guidance systems.
The traditional altimeter precision compensation mode has the problems of high cost, complex structure, increased total weight, weak immunity and the like, and is difficult to meet the low-cost battle use mode. The invention provides an online trajectory planning method suitable for a low-cost altimeter. Different from the conventional thought of 'ballistic design-altitude measurement-ballistic correction', the method can provide information of speed, acceleration, jerk and higher derivative in the altitude direction for the pneumatic altimeter, compensates altitude measurement equipment from a ballistic planning layer, and can realize the optimal balance between the control precision of the aircraft and the production and use cost.
Disclosure of Invention
The invention aims to provide an online trajectory planning method suitable for a low-cost altimeter, which has better anti-interference effect, applicability and efficiency and does not need to rely on an additional high-cost measuring device.
The purpose of the invention is realized by the following technical scheme:
(1) design altitude-remaining flight profile
The fly height is designed as a function of the remaining range:
wherein the content of the first and second substances,nis of the order of a polynomial equation,a i in order to obtain the coefficients to be calculated,Kis a correction factor. The invention is to getn=5。
(2) Generating altimeter feedback information
And calculating the speed, the acceleration, the jerk and the high-order derivative in the height direction according to the formula.
(3) Generating flight control information
And calculating the first/second derivative of the altitude to the residual range according to the aircraft dynamics equation, and then solving the control overload.
(4) Ballistic iteration method considering terminal constraint and altimeter use constraint
Is provided withF(R L ) Determining flight profile solving function for a fifth order polynomialF(R L ) And thus there are 6 unknowns to solve for. These unknowns are solved by constructing 6 equations.
1) Two boundary condition equations can be obtained according to the current height and the terminal height.
2) According to the current flight path angle and the terminal flight path angle, two boundary condition equations can be obtained.
3) Let us assume the remaining voyages 1/3 and 2/3 (respectively noted asAnd) Respectively height value ofh 1 Andh 2 then, there are:
the six equations form an equation set, givenh 1 Andh 2 thereafter, a polynomial can be obtained by solving the system of equationsF(R L ) Coefficient (2) of (1). The design variables are defined as:
(5) height profile on-line correction method
Calculating normal overload according to the real-time motion state and the section design result of the aircraft, and carrying out recursion to the next motion state after the aircraft is brought into a trajectory control system; and cruising the steps until the residual range is zero.
According to the technical scheme, the invention can provide the speed, the acceleration, the jerk and higher derivative information in the height direction for the air pressure type altimeter, the altitude measurement equipment is compensated from the ballistic planning layer, and the optimal balance between the control precision of the aircraft and the production and use cost can be realized; with only two parameters involved: (h 1 , h 2 ) The ballistic trajectory design can be completed by only solving one equation set, the overall calculation amount is low, the online ballistic trajectory reconstruction based on the height measurement information is facilitated, and the method is superior to the traditional scheme in the aspects of information source and efficiency.
Drawings
In order to clearly illustrate the technical solution of the present invention, the following description will be made with reference to the accompanying drawings. For a person skilled in the art, without inventive effort, further figures can also be obtained from these figures.
Fig. 1 is a schematic diagram of a feedback control strategy based on an altitude-remaining flight profile according to an embodiment of the present invention.
Fig. 2 is a schematic diagram of a design result of flight profiles with different altitudes and remaining flight according to an embodiment of the present invention.
Fig. 3 is a diagram illustrating a result of designing a height variation rate curve according to an embodiment of the present invention.
Fig. 4 is a diagram illustrating a design result of a height direction acceleration curve according to an embodiment of the present invention.
Fig. 5 is a schematic diagram of a design result of a normal overload control curve according to an embodiment of the present invention.
Fig. 6 is a diagram illustrating the design result of the ballistic inclination angle change rate curve according to the embodiment of the present invention.
Fig. 2 to 6 employ the same initial conditions and terminal conditions, but different profile design parameters. For those skilled in the art, the initial conditions, the final conditions and the profile design parameters (in the formula) can be changed without creative efforth 1 Andh 2 ) Other figures may also be obtained.
Detailed Description
The technical scheme of the invention is described in detail below with reference to the accompanying drawings in the technology of the invention; the described embodiments are not all embodiments of the invention. Based on the embodiments of the present invention, those skilled in the art can obtain other embodiments without creative efforts, which belong to the protection scope of the present invention.
The embodiment of the invention provides a maneuvering trajectory design method for a low-cost altimeter, which can provide altitude direction speed, acceleration, jerk and higher derivative information for the low-cost altimeter, compensate altitude measurement equipment from a trajectory planning layer, and realize optimal balance between aircraft control precision and production and use cost. The method mainly comprises the following steps: the device comprises a height profile design module, a height profile calculation module and a height profile application module; wherein:
(1) the height profile design module is connected with the height profile calculation module and used for constructing a functional relation about height-residual voyage and extracting key design variables;
if the aircraft moves at a constant speed, the kinetic equation is as follows:
wherein the content of the first and second substances,Vin order to be the magnitude of the speed,γin order to obtain the inclination angle of the trajectory,hin order to be the flying height,N y in order to normally control the overload,a e which is the radius of the earth, is,gthe acceleration of the gravity of the earth is the magnitude,R L the remaining voyage (the voyage from the current point to the target point).
The flying height is designed as a function of the remaining range, see formula.
(2) The height profile calculation module is connected with the height profile design module, the height profile application module and the low-cost air pressure type altimeter and used for obtaining polynomial coefficients related to the height profile by solving an equation set according to given initial conditions, terminal conditions and design parameters so as to determine the final form of the height profile;
determining flight profile solving functionF(R L ) Coefficient (2) of (1). Due to the fact thatF(R L ) For a polynomial of the fifth order, there are 6 unknowns to solve for, and 6 equations need to be constructed.
1) From the current altitude and the terminal altitude, two equations can be derived:
2) according to the current flight path angle and the terminal flight path angle, two equations can be obtained:
3) the expansion can be given as:
in summary, only two parameters need to be given for determining the flight profile, i.e. in the formulah 1 Andh 2 。
(3) and the height profile application module is connected with the height profile calculation module and is used for generating real-time normal overload according to the current motion state and the height profile design result.
According to the aircraft dynamics equation, the first and second derivatives of altitude versus remaining range can be expressed as:
according to the kinetic equation, the following can be obtained:
the overload can thus be controlled as:
as shown in fig. 1, the entire height profile update process is detailed as follows:
1) normal overload is calculated according to the formula and is brought into a trajectory control system;
2) according to a kinetic equation, recursion is carried out to obtain the flight state at the next moment;
3) re-determining the coefficient according to the formula and the terminal constraint according to the real-time motion state;
4) and (5) returning to the step 1 until the residual voyage is zero.
According to the scheme, the obtained partial embodiment is shown in figures 2-6.
Figure 2 showsDesign height profile with residual flight as independent variable under different design parameters (h 1 , h 2 ) The altitude of the aircraft varies with the remaining range. It can be seen that the ballistic design results meet the initial height (15km) and the terminal height (10km) and meet the range constraint (177.4km) under different design parameters.
FIG. 3 shows the design height profile with the remaining range as the independent variable, under different design parameters (h 1 , h 2 ) The history of the altitude rate of change of the aircraft with the remaining voyage. It can be seen that the rate of change of altitude of the aircraft is continuous and very smooth, with the rate of change also being continuous and smooth, at different design parameters, which is advantageous for both the measurement and the calculation of low cost altimeters.
FIG. 4 shows the design height profile with the remaining range as the independent variable, under different design parameters (A and B)h 1 , h 2 ) The second derivative of the change in altitude over time (altitude-direction acceleration) of the aircraft follows the course of the remaining voyage. It can be seen that under different design parameters, the acceleration of the aircraft in the height direction is continuous and very smooth, and the change rate of the acceleration is also continuous and smooth, which is very beneficial to the measurement and calculation of the low-cost altimeter, and meanwhile, the height profile design method provided by the invention can provide high-order derivatives in the height direction, and can provide more reliable height information for a height measurement system.
FIG. 5 shows the design height profile with the remaining range as the independent variable, under different design parameters (A and B)h 1 , h 2 ) The normal control overload of the aircraft follows the course of the remaining voyage. It can be seen that the control overload of the aircraft is continuous and very smooth under different design parameters, and the change rate of the control overload is continuous and smooth, which is beneficial to the flight control of the control system, and simultaneously, the intensity of the overload change is reduced, so that the interference of the external load on the height measuring device is reduced.
FIG. 6 shows the design height with the remaining range as the independent variableSection, under different design parameters: (h 1 , h 2 ) The change course of the trajectory inclination angle of the aircraft along with the remaining voyage. It can be seen that under different design parameters, the ballistic design results all satisfy the initial height (0 °) and the terminal height (-10 °), and satisfy the course constraint (177.4 km); at the same time, the trajectory inclination of the aircraft is continuous and very smooth, and the change rate is also continuous and smooth, which is also reflected in the normal overload.
The invention has the following advantages:
(1) according to the current remaining range, high-order derivative information such as speed, acceleration and jerk in the altitude direction can be rapidly output and used for compensating the defects of the low-cost altimeter in the measurement information;
(2) the height profile meeting the use constraint of the low-precision altimeter is generated on line, the overall height change trend is smooth, and the high-order derivative of the height meets the continuity and the conductibility;
(3) and online trajectory correction on the height channel is realized, and trajectory reconstruction can be completed only through two design variables.
The above description is only one of the embodiments of the present invention, and the scope of the present invention is not limited thereto, and any person skilled in the art can easily conceive the changes or substitutions within the technical scope of the present invention, and the scope of the present invention should be subject to the protection scope of the claims.
Claims (2)
1. Maneuvering trajectory design method for low-cost altimeter
The method is characterized in that altitude direction speed, acceleration, jerk and higher derivative information can be provided for a low-cost altimeter, altitude measurement equipment is compensated from a trajectory planning layer, and the optimal balance between the control precision of the aircraft and the production and use cost can be realized;
the method mainly comprises the following steps: the device comprises a height profile design module, a height profile calculation module and a height profile application module;
wherein:
1) the height profile design module is connected with the height profile calculation module and used for constructing a function relation about height-residual voyage and extracting key design variables;
2) the height profile calculation module is connected with the height profile design module, the height profile application module and the low-cost air pressure type altimeter and used for obtaining polynomial coefficients related to the height profile by solving an equation system according to given initial conditions, terminal conditions and design parameters so as to determine the final form of the height profile;
3) and the height profile application module is connected with the height profile calculation module and is used for generating real-time normal overload according to the current motion state and the height profile design result.
2. Ballistic iteration method considering use requirements of low-cost altimeter
The invention can provide the altimeter with the information of speed, acceleration, jerk and higher derivative in the altitude direction, compensate the altitude measurement equipment from the ballistic programming layer, and realize the optimal balance between the control precision of the aircraft and the production and use cost.
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CN109191921A (en) * | 2018-08-31 | 2019-01-11 | 中国电子科技集团公司第二十八研究所 | A kind of blank pipe monitoring data simulation method based on 4D trajectory predictions |
CN113534847A (en) * | 2021-08-23 | 2021-10-22 | 哈尔滨工业大学 | Method for designing energy management track of powered reusable aircraft |
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