Robust Stability of Discrete-time Linear Parameter Dependent System with Delay

Kanit Mukdasai, Piyapong Niamsup

Abstract

In this paper, we consider the problem of robust stability for the discrete-time linear parameter dependent (LPD) system with delay. We use the parameter dependent Lyapunov function and derive stability conditions in terms of linear matrix inequalities (LMIs). The new stability condition is more general than some existing results. Numerical examples are presented to illustrate the effectiveness of the theoretical results.