Finite-time differential guidance law based on adaptive optimal control

被引：1
|
作者：
Chen Y.-N. [1 ]
Liu C.-S. [1 ]
Sun J.-L. [1 ]
机构：
[1] College of Automation Engineering, Nanjing Aeronautic and Astronautic University, Nanjing, 211106, Jiangsu
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2019年 / 36卷 / 06期
关键词：
Adaptive dynamic programming; Finite-time; Guidance law; Nonlinear differential games;
D O I：
10.7641/CTA.2018.80019
中图分类号：
学科分类号：
摘要：
In this paper, the problem of intercepting a maneuvering target within a fixed final time is posed in a nonlinear finite-time differential game framework.Then, we convert the optimal problem of nonlinear guidance system into optimal control problem of general nonlinear system.For this system, the approximate optimal function and optimal control strategy are found by solving the finite-time differential game problem via adaptive dynamic programming(ADP)technique.To implement the algorithm effectively, the single critic network with time-varying weights and activation functions is constructed to estimate the solution of associated time-varying Hamilton-Jacobi-Isaacs(HJI)equation, and update it online.By utilizing the Lyapunov stability theorem, the closed-loop differential game system are proved to be stable and the estimation weight error of the critic network are proved to be uniformly ultimately bounded.Finally, a simulation of a nonlinear missile-target interception system shows the feasibility and effectiveness of the proposed method. © 2019, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.
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页码：877 / 884
页数：7
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