| 不确定离散切换系统的状态反馈鲁棒控制 |
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| 引用本文： | 张金华,姜建妹,杨月全,蔡宁,张天平. 不确定离散切换系统的状态反馈鲁棒控制[J]. 系统工程与电子技术, 2010, 32(2): 372-375 |
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| 作者姓名： | 张金华 姜建妹 杨月全 蔡宁 张天平 |
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| 作者单位： | (1. 扬州大学信息工程学院自动化专业部, 江苏 扬州 225009；;2. 皇家墨尔本理工大学电气与计算机工程系, 墨尔本 维多利亚 3001） |
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| 基金项目： | 国家自然科学基金，中国科学院复杂系统与智能科学重点实验室开放课题基金(20060101)资助课题 |
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| 摘 要： | 针对同时具有模型参数不确定性和外部扰动的一类离散切换系统，研究H∞其鲁棒控制和H2/H∞混合鲁棒控制问题。首先，基于多Lyapunov函数法分析了含有状态反馈控制器的离散切换系统的稳定性和H∞鲁棒控制问题。其次，基于线性矩阵不等式，通过建立和求解一个凸优化问题，给出不确定H2/H∞鲁棒控制的具有更小保守性的求解方法。最后，仿真算例验证了所提出方案的可行性。
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| 关 键 词： | 切换系统 鲁棒控制 H-2/H∞线性矩阵不等式 |
State feedback robust control for a class of uncertain switched discrete systems |
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| ZHANG Jin-hua,JIANG Jian-mei,YANG Yue-quan,CAI Ning,ZHANG Tian-ping. State feedback robust control for a class of uncertain switched discrete systems[J]. System Engineering and Electronics, 2010, 32(2): 372-375 |
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| Authors: | ZHANG Jin-hua JIANG Jian-mei YANG Yue-quan CAI Ning ZHANG Tian-ping |
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| Affiliation: | ( 1. Dept. of Automation, Coll. of Information Engineering, Yangzhou Univ., Yangzhou 225009, China； ;2. School of Electrical and Computer Engineering, RMIT Univ., Melbourne 3001, Australia) |
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| Abstract: | H_∞ and H_2/H_∞ robust control for a class of switched discrete systems with parameter uncertainty and external disturbance are studied. Firstly, stability and H_∞ control performance of the switched systems under consideration with state feedback controller are presented, based on multiple Lyapunov function method. Secondly, the convex optimization problem is established for H_2/H_∞ control and its optimization solution is given which has smaller conservative property. The simulation further verifies the feasibility of the proposed scheme posed. |
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| Keywords: | switched systems robust control linear matrix inequality |
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