LMI conditions for quadratic and robust D-stability of interval systems  

作　　者：Weijie MAO Xu WANG 

机构地区：[1]National Lab of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou Zhejiang 310027, China

出　　处：《控制理论与应用（英文版）》2006年第2期187-192,共6页

基　　金：This work was supported by the National Natural Science Foundation of China(No.60421002).

摘　　要：Sufficient conditions for the quadratic D-stability and further robust D-stability of interval systems are presented in this paper. This robust D-stability condition is based on a parameter-dependent Lyapunov function obtained from the feasibility of a set of linear matrix inequalities （LMIs） defined at a series of partial-vertex-based interval matrices other than the total vertex matrices as in previous results. The results contain the usual quadratic and robust stability of continuous-time and discrete-time interval systems as particular cases. The illustrative example shows that this method is effective and less conservative for checking the quadratic and robust D-stability of interval systems.Sufficient conditions for the quadratic D-stability and further robust D-stability of interval systems are presented in this paper. This robust D-stability condition is based on a parameter-dependent Lyapunov function obtained from the feasibility of a set of linear matrix inequalities （LMIs） defined at a series of partial-vertex-based interval matrices other than the total vertex matrices as in previous results. The results contain the usual quadratic and robust stability of continuous-time and discrete-time interval systems as particular cases. The illustrative example shows that this method is effective and less conservative for checking the quadratic and robust D-stability of interval systems.

关 键 词：interval systems Linear matrix inequality （LMI） Parameter-dependent Lyapunov function Quadratic stability Robust stability 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]