不确定Delta算子时滞系统鲁棒H_∞控制器设计  

Design of Robust H_∞ Controller for Uncertain Delta Operator Time-delay Systems

作　　者：彭仁崇[1] 林瑞全[1] 杨富文[1] 

机构地区：[1]福州大学电气工程与自动化学院,福建福州350002

出　　处：《集美大学学报（自然科学版）》2008年第2期157-161,共5页Journal of Jimei University：Natural Science

基　　金：福建省自然科学基金资助项目(A0410012)

摘　　要：对一类由Delta算子描述的不确定时滞系统的鲁棒H∞状态反馈控制器设计问题进行研究,以线性矩阵不等式(LM I)形式给出控制器存在的条件,通过求解LMI得出控制器参数.最后以数值例子来说明该设计方法的有效性和可行性,所设计的H∞状态反馈控制器不但保证对象参数不确定时闭环系统渐近稳定,而且具有所期望的H∞性能指标.A design method of robust H∞ state feedback controller for a class of uncertain time-delay systems based on Delta operator is proposed. Also the existing conditions of the designed controller are presented in a linear matrix inequality （LMI） form. The controller parameters can be obtained by solving the LMIs. A numerical example is given to illustrate the effectiveness and the feasibility of the designed procedures. The results show that the closed-loop system is asymptotic stable, also has the expected H∞ performance even if the parameters of the controlled system are of variations.

关 键 词：DELTA算子 时滞系统 不确定系统 H∞控制 状态反馈 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]