Non-fragile finite-time extended dissipative control for a class of uncertain discrete time switched linear systems

Xia Jianwei; Gao Hui; Liu Mingxin; Zhuang Guangming; Zhang Baoyong

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Non-fragile finite-time extended dissipative control for a class of uncertain discrete time switched linear systems

机译：一类不确定离散时间切换线性系统的非脆弱有限时间扩展耗散控制

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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-infinity, L-2-L-infinity, 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. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

机译：针对一类不确定的离散时间切换线性系统，研究了有限时间扩展的耗散分析和非脆弱控制问题。基于平均驻留时间方法，通过解决一些线性矩阵不等式，为考虑的系统的有限时间有界性和有限时间扩展耗散性能提供了充分条件，其中使用扩展耗散的概念，我们可以解决H-无穷大，L-2-L无穷大，无源性和（Q，S，R）耗散性能在一个统一的框架中体现。此外，设计了两种形式的非脆弱状态反馈控制器，以确保闭环系统满足有限时间扩展的耗散性能。最后，通过仿真实例说明了所提方法的有效性。（C）2018富兰克林研究所。由Elsevier Ltd.出版。保留所有权利。

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《Journal of the Franklin Institute》 |2018年第6期|3031-3049|共19页
作者
Xia Jianwei; Gao Hui; Liu Mingxin; Zhuang Guangming; Zhang Baoyong;
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Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Peoples R China;

Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Peoples R China;

Yanshan Univ, Coll Informat Sci & Engn, Qinhuangdao 066004, Peoples R China;

Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Shandong, Peoples R China;

Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China;

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Non-fragile finite-time extended dissipative control for a class of uncertain discrete time switched linear systems

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