Finite-horizon differential games for missile-target interception system using adaptive dynamic programming with input constraints
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所属单位：自动化学院
发表刊物：INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
关键字：Differential game finite-horizon adaptive dynamic programming input constraints missile-target interception
摘要：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号：0020-7721
是否译文：否
发表时间：2018-01-01
合写作者：Sun, Jingliang
通讯作者：刘春生