Non-fragile finite-time extended dissipative control for a class of uncertain discrete time switched linear systems |
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| Authors: | Jianwei Xia Hui Gao Mingxin Liu Guangming Zhuang Baoyong Zhang |
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| Institution: | 1. School of Mathematics Science, Liaocheng University, Liaocheng 252000, PR China;2. College of information science and engineering, Yanshan University, Qinhuangdao 066004, China;3. School of Mathematics Science, Liaocheng University, Shandong 252000, China;4. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China |
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| Abstract: | In this paper, the issues of finite-time extended dissipative analysis and non-fragile control are investigated for a class of uncertain discrete time switched linear systems. Based on average dwell-time approach, sufficient conditions for the finite-time boundedness and finite-time extended dissipative performance of the considered systems are proposed by solving some linear matrix inequalities, where using the concept of extended dissipative, we can solve the H∞, Passivity and (Q, S, R)-dissipativity performance in a unified framework. Furthermore, two form of non-fragile state feedback controllers are designed to guarantee that the closed-loop systems satisfy the finite-time extended dissipative performance. Finally, simulation example is given to show the efficiency of the proposed methods. |
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| Keywords: | Corresponding author |
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