Design method of differential game guidance law with finite time convergence

A differential strategy, limited time technology, applied in the field of aircraft guidance, can solve problems such as affecting the guidance accuracy

Active Publication Date: 2021-02-09
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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Problems solved by technology

In the literature (Bardhan R.An SDRE Based Differential Game Approach for Maneuvering Target Interception.AIAA Guidance,Navigation,and Control Conference.2013), the SDRE method is used to design a differentia

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  • Design method of differential game guidance law with finite time convergence
  • Design method of differential game guidance law with finite time convergence
  • Design method of differential game guidance law with finite time convergence

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Embodiment Construction

[0062] Below in conjunction with accompanying drawing, technical scheme of the present invention is described in further detail:

[0063] combine figure 1 and Figure 11 , the present invention proposes a differential game guidance problem model for terminal guidance conditions.

[0064] Step 1: Aiming at the problem of plane pursuit and escape, assuming that during the pursuit and escape process, the speed of the missile and the target is constant, ignoring the effects of gravity and air resistance, the missile and the target have a first-order dynamic response, and finally the dynamic equation of the missile and the target is obtained:

[0065]

[0066]

[0067] where x m ,z m and x t ,z t are the coordinates of the missile and the target on the x and z axes respectively, V m with V t are the velocities of the missile and the target, respectively, α m with alpha t is the flight path angle between the missile and the target, a m with a t is the acceleration o...

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Abstract

The invention discloses a method for designing a differential game guidance law with finite time convergence. According to the method, finite time improvement is performed on the differential game guidance law which is stable within infinite time; a weight matrix is designed, so that the differential game guidance law realizes sight angular rate convergence within the finite time; the guidance lawkeeps the advantage of not needing residual time estimation; and finally, a maneuvering target is effectively intercepted, and a guidance effect is improved.

Description

technical field [0001] The invention relates to a design method of a differential countermeasure guidance law with finite time convergence, and belongs to the field of aircraft guidance. Background technique [0002] The differential game guidance law is a guidance law designed based on the differential game method. The literature (Li Dengfeng. Differential Game and Its Application. National Defense Industry Press, 2000) defines the differential game, that is, the differential game refers to the need to use differential equations to describe the game A class of countermeasures for activities. Its purpose is to find out the differential game solution, that is, the saddle point solution. The saddle point solution is the optimal solution for both decision-making parties. If any party does not adopt the saddle point solution, the other party will benefit in the game process. The missile chasing and fleeing problem is a natural differential game problem, and the relevant guidan...

Claims

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Application Information

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IPC IPC(8): G05D1/10G06F17/13G06F17/15G06F17/16G06F30/20
CPCG05D1/107G06F17/13G06F17/15G06F17/16G06F30/20
Inventor 胥彪许佳骆李爽
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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