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A Design Method for Differential Game Guidance Laws Converging in Finite Time

A differential strategy, limited time technology, applied in the field of aircraft guidance, can solve problems such as affecting guidance accuracy, achieve fast convergence speed, improve guidance effect, and achieve the effect of line-of-sight angular rate convergence

Active Publication Date: 2021-12-07
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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  • Application Information

AI Technical Summary

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 differential game guidance law that does not require remaining time estimation, while the previous differential game guidance law then a remaining time estimation is required, which greatly affects the guidance accuracy

Method used

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  • A Design Method for Differential Game Guidance Laws Converging in Finite Time
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  • A Design Method for Differential Game Guidance Laws Converging in Finite Time

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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 design method of a differential game guidance law that converges in a finite time, and improves a differential game guidance law that is stable in an infinite time in a finite time. The line-of-sight angular rate convergence is achieved within a short period of time, while the guidance law maintains the advantage of not requiring remaining time estimation, and finally achieves effective interception of maneuvering targets and improves the guidance effect.

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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Patent Type & Authority Patents(China)
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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