Adaptive Control for Discrete-Time Delay Switched Systems with Uncertainties

This paper deals with state tracking control problem for discrete-time linear switched systems with time varying delays and parametric uncertainties. The state-dependent switching rule, parameter updating rule and adaptive controller have been designed such that the closed-loop switched system is uniform stable and the tracking error converges to a small neighborhood of zero.

I. Introduction

Switched systems are a class of hybrid dynamical systems. Generally, switched systems consist of a finite number of subsystems and a rule which determines an active subsystem [1]. Uncertainty exist in parameters of many practical switched systems such as [2] and adaptive control is an effective method for handling unknown parameters by converting state tracking control to the stability analysis problems in switched systems.