Delay-dependent observer-based H∞ finite-time control for switched systems with time-varying delay

Delay-dependent observer-based H∞ finite-time control for switched systems with time-varying delay
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DOI:
10.1016/j.nahs.2012.03.001
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发表时间:
2012-08-01
影响因子:
4.2
通讯作者:
Zhao, Xudong
Zhao, Xudong
中科院分区:
计算机科学2区
文献类型:
--
作者:
Liu, Hao;Shen, Yi;Zhao, Xudong

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研究了具有时变时滞和外部扰动的线性切换系统的观测器设计问题。重点研究了保证动态增广系统有限时间有界和H ∞有限时间稳定的全维观测器的设计。基于线性矩阵不等式(LMI)技术和平均驻留时间(ADT)方法,分别给出了该系统基于离散元的有限时间有界稳定性和H ∞有限时间稳定性的充分条件.利用状态观测器设计了时滞切换系统的记忆状态反馈控制器,并给出了时滞相关线性矩阵不等式的条件。最后通过一个实例说明了所提方法的有效性。(c)2012爱思唯尔有限公司保留所有权利。
This paper is concerned with the problem of observer design for switched linear systems with time-varying delay and exogenous disturbances. The attention is focused on designing the full-order observers that guarantee the finite-time bounded and H-infinity finite-time stability of the dynamic augmented system. Based on linear matrix inequalities (LMIs) technology and an average dwell time (ADT) approach, sufficient conditions which ensure the observer-based finite-time bounded and H-infinity finite-time stability are given, respectively. By using a state observer, the memory state feedback controller is designed to finite-time stabilize a time-delay switched system, and the conditions are formulated in terms of delay-dependent LMIs. An example is given to illustrate the efficiency of the proposed methods. (c) 2012 Elsevier Ltd. All rights reserved.