不确定离散时滞系统的时滞无关鲁棒状态反馈控制  

Robust State Feedback Control for Discrete-Time Systems with Input and State Delays

作　　者：杨松松[1] 包俊东[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2010年第5期458-461,466,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：内蒙古自然科学基金资助项目(200711020104)

摘　　要：研究了一类同时具有状态时滞和输入时滞的离散不确定系统的鲁棒稳定性问题.利用Lyapunov方法,结合矩阵不等式性质,给出可设计系统状态反馈控制律的充分条件,且是时滞无关的.所得结果基于相应的线性矩阵不等式(LMI)的解,并用算例验证了结果的有效性.The robust stability problem for a class of discrete time systems with state and input delays was discussed.By combining use of the Lyapunov method and the properties of matrix inequality,a sufficient condition was provided for designing a state feedback controller.The condition is delay-independent.The results obtained were depended on the solution of a corresponding LMI respectively.An example illustrated the validity of the obtained criteria.

关 键 词：输入时滞 离散系统 线性矩阵不等式 状态反馈控制律 

分 类 号：O231.1[理学—运筹学与控制论]