Delay-dependent static output feedback control for singular time-delay systems

This paper investigates the problem of static output feedback stabilization for a class of uncertain linear singular time-delay systems. Firstly, based on the stability criterion for the nominal singular time-delay system, a sufficient 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 ensures that the resulting closed-loop system is regular, impulse free and asymptotically stable. Then, by using matrix orthogonal complement, we furthermore formulate the LMI with LME constraint as a strict LMI without any constraints, and a parameterized representation of the static output feedback 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.