Robust Reliable Control of Uncertain Discrete Impulsive Switched Systems with State Delays

Abstract EN

This paper is concerned with the problem of robust reliable control for a class of uncertain discrete impulsive switched systems with state delays, where the actuators are subjected to failures.

The parameter uncertainties are assumed to be norm-bounded, and the average dwell time approach is utilized for the stability analysis and controller design.

Firstly, an exponential stability criterion is established in terms of linear matrix inequalities (LMIs).

Then, a state feedback controller is constructed for the underlying system such that the resulting closed-loop system is exponentially stable.

A numerical example is given to illustrate the effectiveness of the proposed method.