Delay-dependent Output Feedback Robust Passivity Controller Design for Uncertain Delayed Systems

This paper deals with the problem of output feedback robustly passive control for parameter uncertain systems with time-varying delay. The parameter uncertainties are norm-bounded. We provide a dynamic output feedback controller that guarantees the closed-loop systems strongly robustly stable with strictly passive for all admissible uncertainties. Delay-dependent sufficient conditions for the existence of the robust output feedback controller are derived in terms of linear matrix inequalities (LMIs). Furthermore, a procedure of constructing such controllers from the solutions of the LMIs is given.