一类不确定时滞系统的时滞依赖鲁棒可靠镇定  

Delay-Dependent Robust and Reliable Stabilization for Uncertain State-Delayed Systems with Actuator Failures

作　　者：王景成[1] 李志虎[1] 邵惠鹤[1] 

机构地区：[1]上海交通大学自动化系,上海200030

出　　处：《控制理论与应用》2001年第5期779-781,共3页Control Theory & Applications

基　　金：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存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 .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.

关 键 词：不确定时滞系统 鲁棒可靠镇定 LYAPUNOV函数 反馈控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]