不确定变时滞系统的非脆弱保性能H_∞控制  

Non-fragile guaranteed cost H_∞control for a class of time-varying delay systems with uncertainty

作　　者：李文林[1] 肖楠[1] 

机构地区：[1]河南师范大学数学与信息科学学院,新乡453007

出　　处：《清华大学学报（自然科学版）》2008年第S2期1702-1706,共5页Journal of Tsinghua University(Science and Technology)

基　　金：国家自然科学基金资助项目(60643003);河南自然科学基金资助项目(0611051200)

摘　　要：针对一类不确定变时滞系统,研究了其非脆弱保性能H_∞控制问题。利用Lyapunov泛函和线性矩阵不等式(linear matrix inequality,LMI)方法,分别对控制器增益具有加法式摄动和乘法式摄动2种情形进行了讨论,得到了系统存在非脆弱保性能H_∞控制律设计的充分条件,并且基于此条件给出了控制器的设计方法。仿真结果表明,控制器对变时滞和不确定参数具有鲁棒性,且对扰动具有很好的抑制能力。The non-fragile guaranteed cost H_∞control has been studied for a class of time-varying delay systems. For either additive or multiplicative controller uncertainties,the sufficient condition for the existence of the non-fragile guaranteed cost H_∞controller is given in terms of the linear matrix inequality (LMI) using the Lyapunov functional method and the LMI technique to enable controller design.Simulation results show that the controller is robust to time-varying delays and parameter uncertainties and ca...

关 键 词：保性能控制 H_∞控制 变时滞 非脆弱 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]