| 周期时变不确定性线性系统的MINIMAX控制方法 |
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| 引用本文： | 陈阳舟.周期时变不确定性线性系统的MINIMAX控制方法[J].自动化学报,2002,28(5):821-826. |
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| 作者姓名： | 陈阳舟 |
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| 作者单位： | 1.北京工业大学电子信息与控制工程学院,北京 |
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| 基金项目： | 国家自然科学基金 (699740 0 4,698740 0 6)，北京市科干局青年科技骨干培养基金(990 2 0 40 0 )资助 |
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| 摘 要： | 应用约束最优化方法和微分对策理论,讨论周期时变不确定性线性系统在范数有界外
部干扰情况下的MINIMAX控制和参数摄动情况下的MINIMAX控制.问题可解的充分条件
是一类Riccati微分方程具有稳定化解,且关于最坏扰动的某个附加条件满足相应的MINIMAX
控制恰为一个线性状态反馈.此外,还给出了闭环系统的性能指标的保证值.
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| 关 键 词： | 周期时变线性系统 范数有界外部干扰 参数摄动 MINIMAX控制 微分对策 |
| 收稿时间： | 2000-8-1 |
| 修稿时间： | 2000年8月1日 |
MINIMAX CONTROL APPROACH TO PERIODICALLY TIME-VARYING UNCERTAIN LINEAR SYSTEMS |
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| CHEN Yang-Zhou.MINIMAX CONTROL APPROACH TO PERIODICALLY TIME-VARYING UNCERTAIN LINEAR SYSTEMS[J].Acta Automatica Sinica,2002,28(5):821-826. |
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| Authors: | CHEN Yang-Zhou |
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| Affiliation: | 1.School of Electronic Information and Control Engineering,Beijing Polytechnic University,Beijing |
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| Abstract: | Resorting to the bounded optimization method and the differential game theory, the paper deals with the minimax control problems of periodically time varying linear system with norm bounded exogenous disturbance and the system with parameter perturbation. The sufficient conditions for the solubility are that some Riccati differential equation admits a stabilizing solution, some additional condition about the worst disturbance or perturbation is satisfied, and the minimax control (if exists) turns out to be a linear state feedback. Moreover, the guarantee value of cost functional for the closed loop system is presented. |
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| Keywords: | Periodically time varying system norm bounded exogenous disturbance parameter perturbation MINIMAX control differential games |
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