| 一类分布参数切换系统的保成本控制 |
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| 引用本文： | 董学平,徐霄翔,苏瑜田. 一类分布参数切换系统的保成本控制[J]. 合肥工业大学学报(自然科学版), 2012, 35(5): 606-608,699 |
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| 作者姓名： | 董学平 徐霄翔 苏瑜田 |
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| 作者单位： | 合肥工业大学 电气与自动化工程学院,安徽 合肥,230009 |
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| 基金项目： | 国家自然科学基金资助项目，合肥工业大学研究生精品教材建设资助项目 |
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| 摘 要： | 文章通过构造Lyapunov函数,利用线性矩阵不等式,对一类分布参数切换系统给出了保成本控制存在的充分条件。该条件用一组线性矩阵不等式表示,将分布参数切换系统的保成本控制问题转化为一组线性矩阵不等式的可行解问题,可借助Matlab中线性矩阵不等式工具箱求解,且结论容易检验和应用。最后通过数值算例,验证所提出设计方法的有效性。
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| 关 键 词： | 分布参数系统 切换系统 保成本控制 线性矩阵不等式 |
Guaranteed cost control for a class of distributed parameter switched systems |
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| DONG Xue-ping , XU Xiao-xiang , SU Yu-tian. Guaranteed cost control for a class of distributed parameter switched systems[J]. Journal of Hefei University of Technology(Natural Science), 2012, 35(5): 606-608,699 |
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| Authors: | DONG Xue-ping XU Xiao-xiang SU Yu-tian |
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| Affiliation: | (School of Electric Engineering and Automation,Hefei University of Technology,Hefei 230009,China) |
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| Abstract: | By constructing Lyapunov functions and employing linear matrix inequality(LMI),a number of sufficient conditions of the existence of guaranteed cost controller for a class of distributed parameter switched systems(DPSS) are derived.These conditions are described by a group of LMIs,so the design of the guaranteed cost controllers of DPSS is transformed into the feasible solution problem of some certain LMIs.The controllers can be efficiently solved by means of Matlab LMI toolbox,then the criteria can be checked and the method can be applied easily.Finally,a numerical example shows the validity of the proposed design method. |
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| Keywords: | distributed parameter system switched system guaranteed cost control linear matrix inequality(LMI) |
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