Stabilization of Discrete Nonlinear Singularly Perturbed System with Time-Delay Represented by a Coupled Multimodel

Abstract

This article investigates the problem of state feedback stabilisation for discrete nonlinear singularly perturbed system with time-delay which is represented by a coupled multimodel. Based on an appropriate Lyapunov function, new sufficient conditions are given as a set of Linear Matrix Inequalities (LMIs) that are used to get the gains of controllers. Numerical example is given to illustrate the effectiveness of the proposed method.