Static output feedback stabilization for systems with time-varying delay based on a matrix transformation method  

作　　者：LIU Zhen Wei ZHANG HuaGuang SUN QiuYe 

机构地区：[1]College of Information Science and Engineering,Northeastern University [2]State Key Laboratory of Synthetical Automation for Process Industries,Northeastern University

出　　处：《Science China(Information Sciences)》2015年第1期185-197,共13页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 61034005, 61203046, 61374124, 61433004);National High-tech R&D Program of China (863 Program) (Grant No. 2012AA040104);State Key Laboratory of Synthetical Automation for Process Industries (Grant No. 2013ZCX01)

摘　　要：This paper is concerned with the problem of static output feedback stabilization for linear systems with time-varying delay. A novel controller design is proposed based on a matrix transformation method with a new equation condition, which can solve the controller gain more easily and avoid complicated calculations of the non-linear matrix inequality. Then, the corresponding criteria can be obtained by combining the matrix transformation method and the ideas of non-uniformly dividing delay interval, which can guarantee the asymptotic stability of the closed-loop systems and calculate the satisfactory controller gain. Finally, two numerical examples are provided to verify the effectiveness of the proposed design scheme.This paper is concerned with the problem of static output feedback stabilization for linear systems with time-varying delay. A novel controller design is proposed based on a matrix transformation method with a new equation condition, which can solve the controller gain more easily and avoid complicated calculations of the non-linear matrix inequality. Then, the corresponding criteria can be obtained by combining the matrix transformation method and the ideas of non-uniformly dividing delay interval, which can guarantee the asymptotic stability of the closed-loop systems and calculate the satisfactory controller gain. Finally, two numerical examples are provided to verify the effectiveness of the proposed design scheme.

关 键 词：static output feedback matrix transformation method time-varying delay non-uniformly dividing delay interval equation condition 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TS143.22[自动化与计算机技术—控制科学与工程]