| 引用本文: | 刘国荣, 罗毅平, 万百五.基于模糊观测器的非线性MIMO系统H2/H∞模糊状态反馈控制[J].控制理论与应用,2005,22(1):12~16.[点击复制] |
| LIU Guo-rong, LUO Yi-ping, WAN Bai-wu.H-two/H-infinity fuzzy state feedback control based on fuzzy observer for nonlinear MIMO systems[J].Control Theory and Technology,2005,22(1):12~16.[点击复制] |
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| 基于模糊观测器的非线性MIMO系统H2/H∞模糊状态反馈控制 |
| H-two/H-infinity fuzzy state feedback control based on fuzzy observer for nonlinear MIMO systems |
| 摘要点击 1058 全文点击 872 投稿时间：2002-12-03 修订日期：2004-05-09 |
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| DOI编号 |
| 2005,22(1):12-16 |
| 中文关键词 非线性系统 H2/H∞控制 模糊控制 线性矩阵不等式(LMI) |
| 英文关键词 nonlinear system H-two/H-infinity control fuzzy control linear matrix inequality(LMI) |
| 基金项目 湖南省自然科学基金资助项目(01JJY2062). |
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| 中文摘要 |
| 研究了非线性系统H2/H∞模糊状态反馈控制问题.采用局部线性化方法,用T-S模糊线性模型逼近非线性系统,用模糊观测器重构系统状态.在希望的H∞干扰抑制约束下,通过最小化H2控制性能指标,实现了模糊状态反馈次优控制.通过将优化问题转化成2个特征值问题(EVP),应用线性矩阵不等式(LMI)优化方法求解,使问题的求解大大简化.所设计的闭环系统在平衡点是局部二次型稳定的,系统抗扰性能和动态性能均较好. |
| 英文摘要 |
| The problem of mixed H-two/H-infinity fuzzy state feedback control for nonlinear systems is studied.A nonlinear plant is approximated by a Takagi-Sugeno fuzzy linear model using local linearization method.The system states are estimated by a fuzzy linear observer.The fuzzy state feedback suboptimal controller is achieved by minimizing the H-two control performance with a desired H-infinity disturbance rejection constraint.The optimization problem is transformed into two eigenvalue problems(EVP'S)-One for observer and the other for controller.The EVP'S can be solved very efficiently using the linear matrix inequality(LMI) optimization techniques;so it can simplify the design.The closed-loop system designed by the proposed method is locally quadratically stable at equilibrium and its disturbance rejection and dynamic performance are satiefying as well. |