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不确定奇异时滞系统时滞依赖鲁棒镇定
引用本文:吴争光,周武能.不确定奇异时滞系统时滞依赖鲁棒镇定[J].自动化学报,2007,33(7):714-718.
作者姓名:吴争光  周武能
作者单位:Mathematics Institute Zhejiang Normal University,College of Information Science and Technology,Donghua University,Jinhua 321004,P.R.China,Shanghai 201620,P.R.China
摘    要:This paper considers the problem of delay-dependent robust stabilization for uncertain singular delay systems.In terms of linear matrix inequality (LMI) approach,a delay-dependent stability criterion is given to ensure that the nominal system is regular,impulse free,and stable.Based on the criterion,the problem is solved via state feedback controller,which guarantees that the resultant closed-loop system is regular,impulse free,and stable for all admissible uncertainties.An explicit expression for the desired controller is also given.Some numerical examples are provided to illustrate the validity of the proposed methods.

关 键 词:Singular  time-delay  system  delay-dependent  robust  stabilization  linear  matrix  inequality
收稿时间:2006-3-7
修稿时间:2006年3月7日

Delay-dependent Robust Stabilization for Uncertain Singular Systems with State Delay
WU Zheng-Guang,ZHOU Wu-Neng.Delay-dependent Robust Stabilization for Uncertain Singular Systems with State Delay[J].Acta Automatica Sinica,2007,33(7):714-718.
Authors:WU Zheng-Guang  ZHOU Wu-Neng
Affiliation:1. Mathematics Institute, Zhejiang Normal University, Jinhua 321004, P. R. China
2. College of Information Science and Technology, Donghua University, Shanghai 201620, P. R. China
Abstract:This paper considers the problem of delay-dependent robust stabilization for uncertain singular delay systems.In terms of linear matrix inequality (LMI) approach,a delay-dependent stability criterion is given to ensure that the nominal system is regular,impulse free,and stable.Based on the criterion,the problem is solved via state feedback controller,which guarantees that the resultant closed-loop system is regular,impulse free,and stable for all admissible uncertainties.An explicit expression for the desired controller is also given.Some numerical examples are provided to illustrate the validity of the proposed methods.
Keywords:Singular time-delay system  delay-dependent  robust stabilization  linear matrix inequality
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