DELAY-DEPENDENT ROBUST CONTROL FOR UNCERTAIN SINGULAR TIME-DELAY SYSTEMS

The problem of delay-dependent robust stabilization for uncertain singular time-delay systems is investigated in this paper. The parameter uncertainty is assumed to be norm-bounded and possibly time-varying, while the time delay considered here is assumed to be constant but un-known. A delay-dependent condition is presented for a singular time-delay system to be regular, impulse free, and stable, based on which ro-bust stability analysis and the robust stabilization problem are studied. An explicit expression for the desired state-feedback control law is also given. The obtained results are formulated in terms of linear matrix inequalities (LMIs), which involve no decomposition of the system matrices. Some numerical examples are given to show the efficiency of the theoretical conditions