时滞相关广义系统的状态反馈控制的新方法  

A New Method of Delay-Dependent State Feedback Control for Singular Systems with Time-Delay

作　　者：刘雅妹[1] 兰奇逊[1] 梁家荣[2] 

机构地区：[1]河南城建学院数理系,河南平顶山467000 [2]广西大学计算机与电子信息学院,广西南宁530004

出　　处：《河南大学学报（自然科学版）》2010年第4期336-339,共4页Journal of Henan University:Natural Science

基　　金：教育部"新世纪优秀人才支持计划"专项基金项目(NCET-06-0756)

摘　　要：基于詹森不等式和Lyapunov稳定性理论,给出了时滞相关标称广义系统、正则、无脉冲且稳定的充分条件;然后给出了时滞依赖广义系统的状态反馈控制器的设计方法,保证了闭环系统是正则、无脉冲且稳定的.所有结果都是时滞相关的,且以严格的线性矩阵不等式的形式给出,未涉及系统矩阵的分解.最后,通过数值算例说明了该方法具有较小的保守性和有效性.This paper is based on Jensen inequality formula and Lyapunov stability theory,the sufficient condition is established for delay-dependent singular system with time-delay,which guarantees the nominal system regular,impulse free and stable.Secondly,the design method of state feedback controller for delay-dependent singular systems with time-delay is presented,which guarantees the resultant closed-loop system regular,impulse free,and stable.All obtained results are delay-dependent and formulated by strict LMI involving no decomposition of the system matrices.Finally,numerical examples are given to illustrate the less conservativeness and effectiveness of the method.

关 键 词：时滞广义系统 时滞相关 状态反馈控制 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]