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Journal of Projectiles, Rockets, Missiles and Guidance >

2023 , Vol. 43 >Issue 4: 39 - 45

DOI: https://doi.org/10.15892/j.cnki.djzdxb.2023.04.006

Design of Guidance Law for Non-affine Missile Interception System Based on Zero-sum Differential Game

  • TIAN Beibei 1 ,
  • LIU Qi 1 ,
  • YUAN Feiran 2
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  • 1 College of Mechanical and Electronic Engineering,Jiaozuo University,Jiaozuo 454003,Henan, China
  • 2 Key Laboratory of Science and Technology on Avionics Integration Technologies,Shanghai 200233,China

Received date: 2022-10-26

  Online published: 2025-02-07

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Abstract

In this paper, the problem of guidance law of non-affine missile interception system is studied based on zero-sum differential game theory. Firstly, an auxiliary system is constructed and the system is converted into affine nonlinear augmented form. Secondly, the missile and target are regarded as competitors and the optimal differential game guidance strategy is designed based on the maximin principle to make the system meet the predefined performance index function. Subsequently, to obtain the analytical solution of the HJI(Hamilton-Jacobi-Isaacs) equation, the integral adaptive dynamic programming technique is used to develop the neural network. Then, the integral adaptive weight updating law is designed to learn the optimal differential game guidance law online and the closed-loop system is proved to be bounded by Lyapunov theory. Finally, the proposed method is applied to the non-affine missile interception system. The simulation results indicate that the line of sight angle rate and range rate satisfy the necessary condition for successful target capture. In addition, the minimum terminal zero effort miss distance is about 1 m. These demonstrate that the target can be intercepted successfully and the proposed method is effective, the missile can successfully intercept the maneuvering target and the proposed algorithm is shown its effectiveness.

Key words： zero-sum differential game; non-affine missile interception system; integral adaptive dynamic programming; neural network

Cite this article

TIAN Beibei , LIU Qi , YUAN Feiran . Design of Guidance Law for Non-affine Missile Interception System Based on Zero-sum Differential Game[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2023 , 43(4) : 39 -45 . DOI: 10.15892/j.cnki.djzdxb.2023.04.006

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