Design methods of non-fragile controllers for a class of uncertain switched linear systems

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作者：
College of Information Science and Engineering, Northeastern University, Shenyang 110004, China [1 ]
不详 [2 ]
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来源：
Kongzhi yu Juece Control Decis | 2006年 / 7卷 / 735-738+744期
关键词：
Additives - Asymptotic stability - Control equipment - Linear systems - Lyapunov methods - State feedback - Uncertain systems;
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摘要：
Two kinds of design schemes of non-fragile state-feedback controllers for a class of uncertain switched linear systems are developed. The controller gain to be designed is assumed to have additive gain variations. Based on multiple-Lyapunov function technique, the first design method guarantees that the switched system is asymptotically stable for all admissible uncertainties by means of switching among subsystems. The second method presents a sufficient condition for the existence of non-fragile controllers by employing average dwell time method. The corresponding results are all given in terms of linear matrix inequalities (LMIs). Finally, a simulation example shows the effectiveness of the proposed approaches.
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