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一类不确定时滞系统的时滞依赖鲁棒可靠镇定
引用本文:王景成,李志虎,邵惠鹤.一类不确定时滞系统的时滞依赖鲁棒可靠镇定[J].控制理论与应用,2001,18(5):779-781.
作者姓名:王景成  李志虎  邵惠鹤
作者单位:上海交通大学自动化系,
基金项目:国家自然科学基金(60 0 0 40 0 1)资助项目
摘    要:主要研究了一类状态时滞不确定性线性系统的时滞依赖鲁棒可靠镇定问题,系统状态矩阵和时滞状态矩阵中在着范数有界的时变参数不确定性,故障执行器集合是执行器集合的子集,采用双积分型Lyapunov函数,最终将问题归结为求解LMI,最后给出一个数值例子验证方法的可行性。

关 键 词:不确定时滞系统  鲁棒可靠镇定  Lyapunov函数  反馈控制
文章编号:1000-8152(2001)05-0779-03
收稿时间:1999/12/29 0:00:00
修稿时间:1999年12月29

Delay-Dependent Robust and Reliable Stabilization for Uncertain State-Delayed Systems with Actuator Failures
WANG Jing-cheng,LI Zhi-hu and SHAO Hui-he.Delay-Dependent Robust and Reliable Stabilization for Uncertain State-Delayed Systems with Actuator Failures[J].Control Theory & Applications,2001,18(5):779-781.
Authors:WANG Jing-cheng  LI Zhi-hu and SHAO Hui-he
Affiliation:Department of Automation, Shanghai Jiaotong University, Shanghai, 200030,P.R.China;Department of Automation, Shanghai Jiaotong University, Shanghai, 200030,P.R.China;Department of Automation, Shanghai Jiaotong University, Shanghai, 200030,P.R.China
Abstract:This paper focuses on the synthesis problem of robust and reliable stabilization for linear systems with norm bounded time varying parameter uncertainty in the state and delayed state matrices and also with actuator failures among a pre specified subset of actuators. LMI (linear matrix inequality) method is given for the memoryless state feedback synthesis problem to quadratically stabilize the given systems. The results depend on the size of the time delay via Lyapunov candidate with double integral. Finally, an example is given to illustrate the feasibility of the proposed method.
Keywords:reliable control  robust control  uncertainty  actuator failure  time  delay
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