Delay-dependent static output feedback control for singular systems
广义系统的时滞依赖静态输出反馈控制

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.