Title of Paper:Finite-horizon differential games for missile-target interception system using adaptive dynamic programming with input constraints

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Affiliation of Author(s):自动化学院

Journal:INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE

Key Words:Differential game finite-horizon adaptive dynamic programming input constraints missile-target interception

Abstract:In this paper, the problem of intercepting amanoeuvring target within a fixed final time is posed in a non-linear constrained zero-sum-differential game framework. The Nash equilibrium solution is found by solving the finite-horizon constrained differential game problem via adaptive dynamic programming technique. Besides, a suitable non-quadratic functional is utilised to encode the control constraints into a differential game problem. The single critic network with constant weights and time varying activation functions is constructed to approximate the solution of associated time-varying Hamilton-Jacobi-Isaacs equation online. To properly satisfy the terminal constraint, an additional error term is incorporated in a novel weight-updating law such that the terminal constraint error is also minimised over time. By utilising Lyapunov's direct method, the closed-loop differential game system and the estimation weight error of the critic network are proved to be uniformly ultimately bounded. Finally, the effectiveness of the proposed method is demonstrated by using a simple non-linear system and a non-linear missile-target interception system, assuming first-order dynamics for the interceptor and target.

ISSN No.:0020-7721

Translation or Not:no

Date of Publication:2018-01-01

Co-author:Sun, Jingliang

Correspondence Author:lcs