CN113741548A - Nonlinear cooperative guidance method and device for formation of unmanned aerial vehicles and storage medium - Google Patents

Nonlinear cooperative guidance method and device for formation of unmanned aerial vehicles and storage medium Download PDF

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CN113741548A
CN113741548A CN202111218273.XA CN202111218273A CN113741548A CN 113741548 A CN113741548 A CN 113741548A CN 202111218273 A CN202111218273 A CN 202111218273A CN 113741548 A CN113741548 A CN 113741548A
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sight line
unmanned aerial
cooperative guidance
aerial vehicle
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董晓飞
任章
宋斌
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Beijing Research Institute of Mechanical and Electrical Technology
Beijing Electromechanical Engineering Research Institute
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    • G05D1/10Simultaneous control of position or course in three dimensions
    • G05D1/101Simultaneous control of position or course in three dimensions specially adapted for aircraft
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Abstract

The invention discloses a nonlinear collaborative guidance method, a nonlinear collaborative guidance device and a storage medium for unmanned aerial vehicle formation, wherein the method comprises the following steps: calculating a target observation estimated value by using a finite time disturbance observer; calculating a sight line normal parameter by using a sight line normal cooperative guidance law and calculating a sight line tangential parameter by using a sight line tangential cooperative guidance law based on the observation estimated value; and generating an unmanned aerial vehicle overload instruction based on the sight line normal parameter, the sight line tangential parameter and the relative motion parameter between the unmanned aerial vehicle formation and the target. According to the method, unknown maneuvering of the target is observed through the finite time disturbance observer, guidance laws in the sight line direction and the sight line normal direction are respectively designed based on the finite time consistency theory, and the collision time constraint and the aiming angle constraint are considered at the same time. In addition, through nonlinear stability analysis, numerical singularities caused by feedback linearization are avoided.

Description

Nonlinear cooperative guidance method and device for formation of unmanned aerial vehicles and storage medium
Technical Field
The invention belongs to the technical field of aircraft control, and particularly relates to a nonlinear collaborative guidance method and device for formation of unmanned aerial vehicles.
Background
Cooperative guidance has received great attention over the past decade because of its effectiveness in improving defense penetration rates and maneuvering target interception. A plurality of unmanned aerial vehicles with good cooperation can attack the target through a plurality of directions simultaneously, and efficiency can be obviously improved. In addition, cooperative interception is carried out on the maneuvering target, a multi-directional surrounding situation can be formed on the target, and the target escape cost is obviously improved.
The cooperative guidance law can be functionally divided into an impact angle cooperation and an impact time cooperation. In the initial research, information exchange between cooperative unmanned aerial vehicles is not considered, cooperative attack is realized by presetting a hit angle and a hit time, and the limitation is that it is difficult to set reasonable preset values, and if the hit time and the hit angle are not designed reasonably, energy consumption is increased, and even guidance failure is caused.
At present, research is mainly focused on the cooperative guidance aspect, residual flight time and an impact angle are used as coordination variables, and a distributed cooperative guidance law is established by utilizing local communication based on a consistency theory. However, the existing maneuvering target cooperative guidance has the following problems:
(1) a target maneuver estimation problem; part of the research results need to know the acceleration of the target, and the acceleration is difficult to accurately obtain in engineering practice. Or some studies assume that the target acceleration is constant or slowly varying, which is not true in most cases.
(2) The problem that a cooperative guidance law needs overlarge tangential acceleration instruction; part of research adopts a feedback linearization method, however, the method can cause the tangential angular velocity instruction of the guidance terminal to be singular. In addition, partial research requires that the unmanned aerial vehicle-target distance and the distance change rate are consistent, so that greater energy consumption is brought.
Disclosure of Invention
According to the 1 st aspect of the invention, an unmanned aerial vehicle formation cooperative guidance method is disclosed, which comprises the following steps:
calculating a target observation estimated value by using a finite time disturbance observer;
calculating a sight line normal parameter by using a sight line normal cooperative guidance law and calculating a sight line tangential parameter by using a sight line tangential cooperative guidance law based on the observation estimated value; and
and generating an unmanned aerial vehicle overload instruction based on the sight line normal parameter, the sight line tangential parameter and the relative motion parameter between the unmanned aerial vehicle formation and the target.
According to the 2 nd aspect of the invention, an unmanned aerial vehicle formation cooperative guiding device is disclosed, comprising:
the storage unit is used for storing the cooperative guidance model and the cooperative guidance law; the cooperative guidance law comprises a sight line normal cooperative guidance law and a sight line tangential cooperative guidance law;
the acquisition unit is used for acquiring a geometric relationship between the formation of the unmanned aerial vehicles and the target, wherein the geometric relationship is represented by relative motion parameters between the formation of the unmanned aerial vehicles and the target;
the finite time interference observer is used for calculating a target observation estimated value;
the computing unit is used for computing a sight line normal parameter by utilizing a sight line normal cooperative guidance law and computing a sight line tangential parameter by utilizing a sight line tangential cooperative guidance law on the basis of the observation estimated value;
and the command generation unit is used for generating an unmanned aerial vehicle overload command based on the sight line normal parameter, the sight line tangential parameter and the relative motion parameter between the unmanned aerial vehicle formation and the target.
In some examples, the finite time disturbance observer is:
Figure BDA0003311536010000021
wherein the content of the first and second substances,
Figure BDA0003311536010000031
are respectively wri,wqiIs determined by the estimated value of (c),
Figure BDA0003311536010000032
VTrepresenting the axial velocity, η, of the targetTiRepresenting the lead angle, theta, of the targetTWhich represents the angle of the flight trajectory of the target,
Figure BDA0003311536010000033
respectively, the observation errors of the observer.
According to the 3 rd aspect of the present invention, there is also disclosed an electronic apparatus comprising: a processor, a memory, and a program stored on the memory and executable on the processor, the program when executed by the processor implementing the drone formation cooperative guidance method.
According to the 4 th aspect of the present invention, a non-transitory readable storage medium stores thereon a program, which when executed by a processor, implements the drone formation cooperative guidance method.
Compared with the prior art, the method provided by the invention observes the unknown maneuvering of the target by the finite time disturbance observer, respectively designs guidance laws along the sight line direction and the sight line normal direction based on the finite time consistency theory, and simultaneously considers the collision time constraint and the aiming angle constraint. In addition, through nonlinear stability analysis, numerical singularities caused by feedback linearization are avoided.
Drawings
Fig. 1 is a schematic view of a geometric relationship between formation of unmanned aerial vehicles and a target in a cooperative guidance process;
fig. 2 is a schematic flow chart of a method for formation cooperative guidance of unmanned aerial vehicles according to an embodiment of the present invention;
fig. 3 is a schematic structural diagram of a formation cooperative guidance device for unmanned aerial vehicles according to an embodiment of the present invention;
FIG. 4 is a schematic structural diagram of an electronic device according to an embodiment of the invention;
fig. 5 is a communication topology for formation of drones.
Detailed Description
Hereinafter, the method and the device for nonlinear collaborative guidance of an unmanned aerial vehicle according to the present invention will be described in detail with reference to the accompanying drawings and embodiments, but the present invention is not limited to these embodiments.
According to one aspect of the invention, the invention discloses a coordinated guidance method for formation of unmanned aerial vehicles, which is used for carrying out coordinated control on formation of unmanned aerial vehicles comprising at least two unmanned aerial vehicles and intercepting or attacking an invading maneuvering target. Fig. 5 shows an example of a formation communication topology including 4 drones M1-M4, in which the formation employs a closed-loop series configuration. However, those skilled in the art will appreciate that the grouping of drones may take other forms to establish a communications network structure.
Fig. 1 is a schematic diagram of the geometric relationship between the formation of drones (only schematically shown) and targets in the cooperative guidance process. In the figure, mi(i ∈ {1, 2.,. N }) represents the ith drone, θiRepresenting the flight path angle, etaiDenotes its lead angle, qiShows the angle of view, ViRepresenting its axial velocity, nyi,nxiRespectively adjusting the speed direction and the magnitude of the acceleration of the unmanned aerial vehicle under the speed coordinate system;
t represents a target, VTRepresenting the axial velocity, η, of the targetTiRepresenting the lead angle of the target;
rirepresent unmanned plane miThe distance from the target T.
Thus, the geometric relationship of the drone to the target may be represented by the above-mentioned relative motion parameters.
FIG. 2 is a schematic flow chart according to an embodiment of the present invention. As shown, the method comprises the following steps:
step 201, constructing a cooperative guidance model based on a geometric relation between unmanned aerial vehicle formation and a target;
in the invention, based on the relative motion parameters between the unmanned aerial vehicle formation and the target, the following cooperative guidance model is established in advance and stored. The cooperative guidance model is as follows:
Figure BDA0003311536010000041
and (3) solving a second derivative of the distance between the unmanned aerial vehicle and the target to obtain:
Figure BDA0003311536010000051
recording:
Figure BDA0003311536010000052
Figure BDA0003311536010000053
wherein, wriInterference of target maneuver on change rate of distance between unmanned aerial vehicle and targetriThe component of the acceleration of the unmanned aerial vehicle in the direction of the connecting line between the unmanned aerial vehicle and the target is shown.
This makes it possible to obtain:
Figure BDA0003311536010000054
and (3) solving a second derivative of the view angle to obtain:
Figure BDA0003311536010000055
recording:
Figure BDA0003311536010000056
Figure BDA0003311536010000057
wherein, wqiInterference of target maneuver on the rate of change of the view angle of the unmanned aerial vehicle, uqiThe component of the acceleration of the unmanned aerial vehicle in the normal direction of the unmanned aerial vehicle and the target connecting line is adopted.
This makes it possible to obtain:
Figure BDA0003311536010000058
step 202, calculating a target observation estimated value by using a finite time disturbance observer;
in the invention, a finite time disturbance observer is constructed in advance and stored. The finite time disturbance observer is:
Figure BDA0003311536010000059
wherein the content of the first and second substances,
Figure BDA0003311536010000061
w in the above formulas (5) and (9), respectivelyri,wqiIs determined by the estimated value of (c),
Figure BDA0003311536010000062
for the observation error of the observer:
Figure BDA0003311536010000063
wherein, tgoiThe calculation method for the remaining aircraft time is as follows:
Figure BDA0003311536010000064
if the parameters in the finite time disturbance observer satisfy alpha > 0, beta > 0, q > p > 0, and the unknown disturbance satisfies
Figure BDA0003311536010000065
The disturbance observation error can converge within a limited time.
Step 203, based on the observation estimated value, calculating a sight line normal parameter by using a sight line normal cooperative guidance law and calculating a sight line tangential parameter by using a sight line tangential cooperative guidance law;
in the invention, a sight line normal cooperative guidance law meeting the aiming angle constraint condition and a sight line tangential cooperative guidance law meeting the collision time constraint are constructed in advance and stored.
The sighting angle constraint conditions of the sight line normal cooperation are as follows:
Figure BDA0003311536010000066
wherein, ci,cjThe constant is preset and is used for adjusting the hit angle interval of each unmanned aerial vehicle.
Order to
Figure BDA0003311536010000067
The sight-line normal cooperative guidance law is as follows:
Figure BDA0003311536010000068
wherein the content of the first and second substances,
Figure BDA0003311536010000069
is the output of the finite time disturbance observer (10).
If the parameters in the sight-line normal cooperative guidance law (13) satisfy k1>0,k2>0,0<α1<1,
Figure BDA00033115360100000610
The unmanned aerial vehicle formation can realize the collision angle coordination condition (12) in a directed topology condition within a limited time.
The constraint conditions of the collision time of the sight line tangential collaboration are as follows:
Figure BDA00033115360100000611
the sight line tangential guidance law is as follows:
Figure BDA0003311536010000071
wherein the content of the first and second substances,
Figure BDA0003311536010000072
is the output of the finite time disturbance observer (10).
When the parameters in the sight line tangential guidance law (15) satisfy k3>0,0<α3When the time is less than 1, the unmanned aerial vehicle formation can realize simultaneous hit constraint in limited time under the condition of directed topology (1)4)。
Based on the observed estimate
Figure BDA0003311536010000073
Calculating a sight line normal parameter u by using a sight line normal collaborative guidance lawqiCalculating the sight line tangential parameter u by using the sight line tangential cooperative guidance lawri
Aiming at the observer and the guidance law parameters, the invention obtains the asymptotic stable condition of the system by utilizing the Lyapunov method. Meanwhile, the finite time stability of the guidance law can be proved by using a homogeneous system stability theory, and the specific process is not repeated.
Step 204, generating an unmanned aerial vehicle overload instruction based on the sight line normal parameter, the sight line tangential parameter and the relative motion parameter between the unmanned aerial vehicle formation and the target;
based on the guidance law, calculating an unmanned aerial vehicle overload instruction according to relative motion parameters between the unmanned aerial vehicle formation and the target, wherein the method comprises the following steps:
Figure BDA0003311536010000074
wherein n isxiRepresenting the magnitude of acceleration for an unmanned aerial vehicle tangential overload instruction; n isyiAnd indicating the direction of the acceleration for the normal overload instruction direction of the unmanned aerial vehicle.
According to the method, unknown maneuvering of the target is observed through the finite time disturbance observer, and guidance laws in the sight line direction and the sight line normal direction are respectively designed based on the finite time consistency theory, wherein the guidance laws simultaneously consider collision time constraint and aiming angle constraint. In addition, through nonlinear stability analysis, numerical singularities caused by feedback linearization are avoided.
The cooperative guidance law provided by the invention is not only suitable for a static target, but also suitable for a maneuvering target, and does not require constant or slow change of the acceleration of the target.
In order to solve the problem of singularity of the guidance method, the guidance model is linearized, and the stability of the nonlinear closed-loop model is directly analyzed.
The guiding method provided by the invention only needs neighborhood information, has good stability and can be applied to directed communication topology.
The simulation is performed by taking the unmanned aerial vehicle marshalling shown in fig. 5 as an example, and the marshalling comprises 4 unmanned aerial vehicles for intercepting maneuvering targets. Wherein the target speed is set to 300m/s and the normal acceleration is set to 20cos (0.2t) m/s2Position (12000m,0m), initial heading angle 0 °.
For a finite time disturbance observer, the parameters are set to α ═ 1, β ═ 1, p ═ 1, q ═ 2, and w1=w2=10。
The sight-line normal guidance law parameters are set as follows: k is a radical of1=0.5,k2=0.08,α1=0.5,α20.667. The sight line tangential guidance law parameters are as follows: k is a radical of3=2,α3=0.5。
Analysis results show that 4 unmanned aerial vehicles attack maneuvering targets simultaneously. The remaining flight times of 4 drones at time 0 are different, and reach the same value after about 10 seconds in the case of using the limited-time cooperative guidance law (14) of the present invention. Under the hit angle cooperative guidance law (14), the line of sight angles converge to a desired sequence after a period of time.
According to another aspect of the present invention, a coordinated guidance device for formation of unmanned aerial vehicles is disclosed, as shown in fig. 3, the device includes:
a storage unit 301, configured to store a cooperative guidance model and a cooperative guidance law; the cooperative guidance law comprises a sight line normal cooperative guidance law and a sight line tangential cooperative guidance law, wherein the sight line normal cooperative guidance law meets aiming angle constraint conditions, and the sight line tangential cooperative guidance law meets collision time constraint;
an obtaining unit 302, configured to obtain a geometric relationship between the formation of unmanned aerial vehicles and the target, where the geometric relationship is represented by a relative motion parameter between the formation of unmanned aerial vehicles and the target;
the finite time disturbance observer 303 is used for calculating a target observation estimation value;
a calculating unit 304, configured to calculate, based on the observation estimated value, a gaze normal parameter by using a gaze normal cooperative guidance law and a gaze tangential parameter by using a gaze tangential cooperative guidance law;
and an instruction generating unit 305, which generates the unmanned aerial vehicle overload instruction based on the sight line normal parameter, the sight line tangential parameter and the relative motion parameter between the unmanned aerial vehicle formation and the target.
The above units may exchange data via an interface or a bus, for example.
In addition, the present invention also discloses an electronic device, as shown in fig. 4, including: a processor 401, a memory 402 and a program stored on and executable on the memory, which when executed by the processor implements the drone formation cooperative guidance method.
In addition, the invention also discloses a non-transitory readable storage medium, wherein the readable storage medium stores a program, and the program realizes the unmanned aerial vehicle formation cooperative guidance method when being executed by a processor.
The memory 402 or non-transitory readable storage medium further stores a cooperative guidance model and a cooperative guidance law; the cooperative guidance law comprises a sight line normal cooperative guidance law and a sight line tangential cooperative guidance law, the sight line normal cooperative guidance law meets aiming angle constraint conditions, and the sight line tangential cooperative guidance law meets collision time constraint.
It should be understood that the processor mentioned in the embodiments of the present invention may be implemented by hardware or may be implemented by software. When implemented in hardware, the processor may be a logic circuit, an integrated circuit, or the like. When implemented in software, the processor may be a general-purpose processor implemented by reading software code stored in a memory.
The processor may be, for example, a Central Processing Unit (CPU), other general purpose processor, a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), an off-the-shelf programmable gate array (FPGA) or other programmable logic device, discrete gate or transistor logic, discrete hardware components, etc. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
It will be appreciated that the memory referred to in embodiments of the invention may be either volatile memory or nonvolatile memory, or may include both volatile and nonvolatile memory.
It should be noted that the memory described herein is intended to comprise, without being limited to, these and any other suitable types of memory.
The above embodiments are only used to illustrate the technical solution of the present invention, and not to limit the same. Although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention.

Claims (10)

1. An unmanned aerial vehicle formation cooperative guidance method is characterized by comprising the following steps:
calculating a target observation estimated value by using a finite time disturbance observer;
calculating a sight line normal parameter by using a sight line normal cooperative guidance law and calculating a sight line tangential parameter by using a sight line tangential cooperative guidance law based on the observation estimated value; and
and generating an unmanned aerial vehicle overload instruction based on the sight line normal parameter, the sight line tangential parameter and the relative motion parameter between the unmanned aerial vehicle formation and the target.
2. The unmanned aerial vehicle formation cooperative guidance method according to claim 1, wherein the finite time disturbance observer is:
Figure FDA0003311532000000011
wherein the content of the first and second substances,
Figure FDA0003311532000000012
are respectively wri,wqiIs determined by the estimated value of (c),
Figure FDA0003311532000000013
VTrepresenting the axial velocity, η, of the targetTiRepresenting the lead angle, theta, of the targetTWhich represents the angle of the flight trajectory of the target,
Figure FDA0003311532000000014
respectively, the observation errors of the observer.
3. The unmanned aerial vehicle formation cooperative guidance method of claim 1, wherein the line-of-sight normal cooperative guidance law satisfies an aiming angle constraint condition, and the line-of-sight tangential cooperative guidance law satisfies a collision time constraint.
4. The unmanned aerial vehicle formation cooperative guidance method according to claim 3, wherein aiming angle constraints are as follows:
Figure FDA0003311532000000015
wherein, ci,cjThe constant is a preset constant and is used for adjusting the hit angle interval of each unmanned aerial vehicle;
the sight line normal cooperative guidance law is as follows:
Figure FDA0003311532000000016
wherein the content of the first and second substances,
Figure FDA0003311532000000021
qiindicates the ith unmanned plane line-of-sight angle。
5. The unmanned aerial vehicle formation cooperative guidance method according to claim 3, wherein the collision time constraint condition is:
Figure FDA0003311532000000022
the sight line tangential guidance law is as follows:
Figure FDA0003311532000000023
wherein the content of the first and second substances,
Figure FDA0003311532000000024
is the output of the finite time disturbance observer (10).
6. An unmanned aerial vehicle formation cooperative guiding device, comprising:
the storage unit is used for storing the cooperative guidance model and the cooperative guidance law; the cooperative guidance law comprises a sight line normal cooperative guidance law and a sight line tangential cooperative guidance law;
the acquisition unit is used for acquiring a geometric relationship between the formation of the unmanned aerial vehicles and the target, wherein the geometric relationship is represented by relative motion parameters between the formation of the unmanned aerial vehicles and the target;
the finite time interference observer is used for calculating a target observation estimated value;
the computing unit is used for computing a sight line normal parameter by utilizing a sight line normal cooperative guidance law and computing a sight line tangential parameter by utilizing a sight line tangential cooperative guidance law on the basis of the observation estimated value;
and the command generation unit is used for generating an unmanned aerial vehicle overload command based on the sight line normal parameter, the sight line tangential parameter and the relative motion parameter between the unmanned aerial vehicle formation and the target.
7. The unmanned aerial vehicle formation cooperative guidance device of claim 6, wherein the line-of-sight normal cooperative guidance law satisfies an aiming angle constraint condition, and the line-of-sight tangential cooperative guidance law satisfies a collision time constraint.
8. An electronic device, comprising: a processor, a memory, and a program stored on the memory and executable on the processor, the program when executed by the processor implementing the drone formation cooperative guidance method of any of claims 1-5.
9. A non-transitory readable storage medium, wherein the readable storage medium stores thereon a program, which when executed by a processor, implements the drone formation cooperative guidance method according to any one of claims 1-5.
10. The electronic device of claim 8 or the non-transitory readable storage medium of claim 9, further storing a collaborative guidance model and a collaborative guidance law; the cooperative guidance law comprises a sight line normal cooperative guidance law and a sight line tangential cooperative guidance law, the sight line normal cooperative guidance law meets aiming angle constraint conditions, and the sight line tangential cooperative guidance law meets collision time constraint.
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CN115268503A (en) * 2022-09-28 2022-11-01 中国人民解放军国防科技大学 Multi-aircraft three-dimensional cooperative guidance method for removing singularity

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