Gain-scheduled guaranteed cost control for LPV systems with time-varying state and input delays

Abstract

This paper investigates the problem of gain-scheduled guaranteed cost control for linear parameter-varying systems with time-varying state and input delays. Attention is focused on the design of guaranteed cost controllers such that the resulting closed-loop system is asymptotically stable and a parameter-dependent cost performance is also guaranteed. Based on a parameter-dependent Lyapunov function, a linear matrix inequality methodology is proposed for designing gain-scheduled state feedback controller, where the feedback gain depends on the scheduling parameters. A numerical example is provided to illustrate the proposed method.