不确定时滞系统的鲁棒绝对稳定性研究  

On the robust absolute stability of uncertain time-delay systems

作　　者：高金凤[1] 俞立[1] 

机构地区：[1]浙江工业大学信息工程学院,浙江杭州310032

出　　处：《控制与决策》2004年第1期114-116,119,共4页Control and Decision

基　　金：国家自然科学基金资助项目(60274034);教育部高等学校优秀青年教师教学科研奖励计划项目.

摘　　要：基于Lyapunov稳定性理论,采用线性矩阵不等式处理方法,研究具有参数不确定性的时滞系统鲁棒绝对稳定性问题.导出了用线性矩阵不等式系统可行性描述的系统鲁棒绝对稳定的滞后依赖型条件,据此可计算出最大的允许时滞界.通过求解一组线性矩阵不等式,给出使得闭环系统鲁棒绝对稳定的无记忆状态反馈控制律设计方法.The problem of robust absolute stability is studied for a class of uncertain time-delay systems based on Lyapunov stability theory. A delay-dependent sufficient condition for the robust absolute stability is derived and is expressed as the feasibility problem of a certain linear matrix inequality system. And a maximum delay bound is obtained by solving a corresponding convex optimization problem. Furthermore, a procedure of designing memoryless state feedback controllers is presented such that the closed-loop uncertain systems are robustly absolutely stable.

关 键 词：线性矩阵不等式 绝对稳定性 鲁棒性 状态反馈 不确定时滞系统 LYAPUNOV稳定性理论 

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]