广义系统的时滞依赖静态输出反馈控制

Delay-dependent static output feedback control for singular systems

中文关键词  广义系统  静态输出反馈  时滞  线性矩阵不等式(LMIs)

英文关键词  singular system  static output feedback control  time-delay  linear matrix inequalities(LMIs)

中文摘要

      针对一类不确定线性广义时滞系统, 给出了静态输出反馈控制器的设计方法. 首先基于标称广义时滞系统的稳定条件, 以受限线性矩阵不等式形式, 给出闭环广义时滞系统正则、无脉冲且渐近稳定的充分条件,同时利用受限矩阵不等式的可行解给出静态输出反馈控制律的一个参数化表示；其次, 利用矩阵的正交补, 把求受限线性矩阵不等式的可行解问题转化为求严格线性矩阵不等式(LMIs)的可行解；最后应用数值实例说明了所给方法的有效性和正确性.

英文摘要

      The static output feedback stabilization is investigated for a class of uncertain linear singular time-delay systems. Firstly, based on the stability criterion for the nominal singular time-delay system, we establish a sufficient condition, in terms of linear matrix inequality with linear matrix equality constraint, for the closed-loop system to be regular, impulse free and robustly asymptotically stable. A parameterized representation of the tatic output feedback control law is given by the feasible solution of the linear matrix nequality with linear matrix equality constraint. By using the matrix orthogonal complement, the linear matrix inequality with linear matrix equality constraints is reformulated into strict linear matrix equalities(LMIs) without any constraints. Finally, a numerical example is presented to show the effectiveness of the proposed method.