Robust output feedback stabilization for uncertain singular time delay systems

The robust output feedback stabilization problem for singular time delay system with norm-bounded parametric uncertainties is considered in this paper. All the coefficient matrices except the matrix E include uncertainties. The authors derive sufficient conditions about the robust stability of the two closed-loop systems, which are obtained by applying an observer-based controller and a compensator to the singular time delay system, respectively. Then, the strict linear matrix inequality (LMI) design approaches are developed and the desired robust output feedback control laws are given.