Delay-Dependent Static Output Feedback Control for Singular Time-delay Systems

摘要

This paper investigates the problem of static output feedback stabilization for a class of uncertain lin- ear singular time-delay systems. Firstly, based on the stability criterion for the nominal singular time-delay system, a su±cient condition for the existence of the static output feedback controller in terms of linear matrix inequality (LMI) with linear matrix equality (LME) constraint is established, which en-sures that the resulting closed-loop system is regu-lar, impulse free and asymptotically stable. Then,by using matrix orthogonal complement, we fur-thermore formulate the LMI with LME constraint as a strict LMI without any constraints, and a para-meterized representation of the static output feed-back control law is given by the feasible solution of the LMI. Finally, a numerical example is presented to show the effectiveness of the proposed method.