| 引用本文: | 陈燕妮,刘春生,孙景亮.基于自适应最优控制的有限时间微分对策制导律[J].控制理论与应用,2019,36(6):877~884.[点击复制] |
| CHEN Yan-ni,LIU Chun-sheng,SUN Jing-liang.Finite-time differential guidance law based on adaptive optimal control[J].Control Theory and Technology,2019,36(6):877~884.[点击复制] |
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| 基于自适应最优控制的有限时间微分对策制导律 |
| Finite-time differential guidance law based on adaptive optimal control |
| 摘要点击 2547 全文点击 1383 投稿时间：2018-01-08 修订日期：2018-08-21 |
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| DOI编号 10.7641/CTA.2018.80019 |
| 2019,36(6):877-884 |
| 中文关键词 非线性微分对策 有限时间 自适应动态规划 制导律 |
| 英文关键词 nonlinear differential games finite-time adaptive dynamic programming guidance law |
| 基金项目 高校基金 |
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| 中文摘要 |
| 针对固定末端时刻拦截机动目标的制导系统，本文首先构建了非线性有限时间微分对策框架，将导弹拦截非线性系统的最优问题转化为一般非线性系统的最优控制问题，并通过自适应动态规划算法(ADP)获得近似最优值函数与最优控制策略。为了有效实现该算法，本文利用一个具有时变权值和激活函数的评价网络来逼近Hamilton-Jacobi-Isaacs(HJI)方程的解，并在线更新。通过李雅普诺夫法来证明本文提出的控制策略可保证闭环微分对策系统稳定性和评价网络权值近似误差的有界性。最后给出一个非线性导弹拦截目标系统的仿真例子验证了该方法的可行性和有效性。 |
| 英文摘要 |
| 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 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. |