Gain-scheduled stabilisation of linear parameter-varying systems with time-varying input delay

Abstract

This paper deals with the problem of gain-scheduled stabilisation for linear parameter-varying systems with time-varying input delay. New delay-dependent criteria are developed based on the reduction method combined with the parameter-dependent Lyapunov approach. Sufficient conditions are presented to design gain-scheduled controllers to stabilise the closed-loop systems from past input information in terms of parameterised linear matrix inequalities (LMI). One numerical example is provided to demonstrate the effectiveness of the proposed methods.