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

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

DOI:
10.1016/j.jfranklin.2018.02.017
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发表时间:
2018-04
期刊:
Journal of the Franklin Institute
影响因子:
--
通讯作者:
Baoyong Zhang
Baoyong Zhang
中科院分区:
其他
文献类型:
--
作者:
Jianwei Xia;Hui Gao;Mingxin Liu;Guangming Zhuang;Baoyong Zhang

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研究了一类不确定离散时间切换线性系统的有限时间扩展耗散分析和非脆弱控制问题。基于平均时间方法,通过求解一些线性矩阵不等式,给出了系统有限时间有界性和有限时间扩展耗散性能的充分条件,利用扩展耗散的概念,可以在统一的框架内求解系统的H∞、l2−L∞、无源性和(Q, S, R)耗散性能。此外,设计了两种形式的非脆弱状态反馈控制器,以保证闭环系统满足有限时间扩展耗散性能。最后,通过仿真实例验证了所提方法的有效性。
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∞, L 2− L∞, 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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