Switched Discrete-Time Delay Systems: Delay-Dependent Analysis and Synthesis

被引:0
作者
Magdi S. Mahmoud
Fouad M. Al-Sunni
Yan Shi
机构
[1] King Fahd University of Petroleum and Minerals,Systems Engineering Department
[2] King Fahd University of Petroleum and Minerals,Department of Systems Engineering
[3] Kyushu Tokai University,School of Engineering
来源
Circuits, Systems & Signal Processing | 2009年 / 28卷
关键词
Switched systems; Delay-dependent stability; Switched Lyapunov–Krasovskii functional; Switched state feedback; Switched output feedback; LMIs;
D O I
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中图分类号
学科分类号
摘要
A delay-dependent analysis and synthesis approach is established for a class of linear discrete-time switched delay systems with convex bounded parameter uncertainties in all system matrices. New results are established for both constant and time-varying delays using switched Lyapunov–Krasovskii functionals. A delay-dependent analysis of the uncertain switched delay system is developed to guarantee that it is asymptotically stable with an ℒ2 gain smaller than a prescribed constant level. Delay-dependent switched control feedback is then designed, based on state and output measurements, to render the corresponding switched closed-loop system delay-dependent asymptotically stable with a prescribed ℒ2 gain measure. The developed results are cast as linear matrix inequalities (LMIs) and tested on representative examples.
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页码:735 / 761
页数:26
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