基于线性矩阵不等式的时滞广义系统的稳定性与镇定  

Stability and Stabilization of Singular Systems with Time-Delay:an LMI Approach

作　　者：王其红[1] 

机构地区：[1]常州信息职业技术学院自动控制工程系,江苏常州213164

出　　处：《江苏技术师范学院学报》2007年第4期1-5,共5页Journal of Jiangsu Teachers University of Technology

基　　金：国家自然科学基金(06474078);江苏省高校自然科学计划项目(04KJD120016)

摘　　要：研究了时滞广义系统的稳定与镇定问题。利用广义二次稳定和广义二次镇定的概念,应用线性矩阵不等式方法分别给出了时滞广义系统广义二次稳定和广义二次镇定的充要条件,它们都是一严格的线性矩阵不等式,同时给出了相应的控制器表达式。最后,举例说明了给出方法的应用。The stability and stabilization problems are studied for singular systems with time-delay. These problems are solved via the notions of generalized quadratic stability and generalized quadratic stabilization. Necessary and sufficient conditions for generalized quadratic stability and generalized quadratic stabilization are derived via linear matrix inequality （LMI）. They are strict linear matrix inequalities （LMI）, respectively. An explicit expression for the desired generalized quadratic stabilization state feedback control law is also given. Finally, a numerical example is provided to demonstrate the application of the proposed method.

关 键 词：时滞广义系统 广义二次稳定 广义二次镇定 LMI 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]