基于LMI的分布时滞系统输出动态反馈镇定  

Output dynamical feedback stabilization for linear systems with distributed delay based on LMI

作　　者：钱伟[1,2] 沈国江[1] 孙优贤[1] 

机构地区：[1]浙江大学信息工程学院,浙江杭州310027 [2]河南理工大学计算机科学与技术学院,河南焦作454000

出　　处：《控制理论与应用》2009年第4期446-450,共5页Control Theory & Applications

基　　金：国家“863”高技术研究发展计划资助项目(2007AA11Z216);国家自然科学基金资助项目(50708094)

摘　　要：研究分布时滞系统的输出动态反馈镇定问题.基于闭环系统的中立型变换及相应Lyapunov-Krasovskii泛函的构造与解析技巧,建立了与时滞相关的控制器存在性判据.在此基础上通过控制器参数化设计方法,将控制器参数的求解归结为线性矩阵不等式解的形式.仿真算例验证了方法的有效性。This note is concerned with the output dynamical feedback stabilization for linear systems with distributed delay. Based on the model transformation of neutral type, we properly construct and compute a Lyapunov-Krsovskii functional by using a special analytic method, and establish the delay-dependent stability criterion for the transformed closed-loop systems. Then, combining this stability criterion with the parameterization of controller, we develop the design condition for the desired controller in terms of linear matrix inequality through which the controller is explicitly formulated. A numerical example is given to illustrate the effectiveness of the proposed approach.

关 键 词：时滞系统 分布时滞 输出动态反馈 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]