Delayed Feedback Stabilization of LPV Systems with Time-Varying State and Input Delays

This paper addressed the problem of delay dependent stabilization for linear parameter-varying systems with time-varying state and input delays. A new delay-dependent criterion is developed by constructing the reduction method and combining with the parameter-dependent Lyapunov approach. Sufficient conditions are presented to design gain-scheduled controller to stabilize the closed-loop systems from past input information in terms of parameterized linear matrix inequalities. The effectiveness is shown via an numerical example.