线性时滞系统滞后反馈鲁棒镇定

Robust Stabilization of Linear Delay Systems by Retarded Feedback

本文研究时不变线性时滞系统的鲁棒镇定问题．通过建立时滞系统的一个渐近稳定性定理，对摄动矩阵满足匹配条件和不满足匹配条件的情况分别给出了完全鲁棒镇定控制器的设计方法与鲁棒镇定控制器的存在性充分条件和设计方法；文中尤其提出了非滞后线性系统的一种简单的滞后反馈镇定方案．文末用例子示范了本文的设计方法．

This paper is devoted to investigation of robust stabilization of time-invariant linear delay systems.The design,method for the guaranteed robust stabilization controllers is given for the systems with pertutbation matrices satisfying matching conditions,the existence conditions and designs method of robust stabilizing controllers of systems with perturbation matrices not satisfying the matching conditions are also obtained,based on an asymptotic stability theorem first established in the paper for delay systems. A simple retarded feedback stabilization scheme for non-delay lineat sytems is especially proposed in the paper. Two examples are given at the end of the paper to illustrate the design method of the controllers developed in the paper.