| 一类离散切换系统的性能分析 |
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| 引用本文： | 刘虹,史军新,张颖. 一类离散切换系统的性能分析[J]. 黑龙江电子技术, 2012, 0(1): 92-95,100 |
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| 作者姓名： | 刘虹 史军新 张颖 |
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| 作者单位： | [1]康佳集团,深圳712023 [2]哈尔滨工业大学深圳研究生院,深圳518055 |
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| 摘 要： | 针对一类含有不确定性和时滞的离散切换系统,探讨了H∞性能分析问题。假设所考虑的线性不确定性具有线性分式形式,综合利用Lyapunov-Krasovskii函数和Finsler’s引理,给出判断系统满足H∞性能界γ的充分条件,并且γ的上界可以通过求解一组线性矩阵不等式获得。最后通过一个数值算例说明方法的有效性。
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| 关 键 词： | 切换 H∞性能 线性矩阵不等式 Lyapunov函数 |
Analysis for a class of discrete-time switched systems |
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| LIU Hong,SHI Jun-xin,ZHANG Ying. Analysis for a class of discrete-time switched systems[J]. , 2012, 0(1): 92-95,100 |
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| Authors: | LIU Hong SHI Jun-xin ZHANG Ying |
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| Affiliation: | 1.Konka Group Co.,Ltd.,Shenzhen 712023,China; 2.Shenzhen Graduate School,Harbin Institute of Technology,Shenzhen 518055,China) |
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| Abstract: | The problem of robust H∞-performance analysis for a class of uncertain discrete-time switched systems with time-delay is investigated.The uncertainty considered here is assumed to be linear fractional.Combined the switched Lyapunov-Krasovskii function method with Finsler＇s Lemma,a condition is derived to check the robust asymptotically stability with a prescribed H∞ norm bound γ.Furthermore,the upper bound of γ can be obtained by a convex optimization problem with a set of linear matrix inequalities（LMIs） constraints.A numerical example demonstrates the effect of the proposed approach. |
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| Keywords: | switched H∞-performance LMI Lyapunov function |
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