Stabilization of 2D discrete switched systems with state delays under asynchronous switching

TL;DR

This paper develops a robust state feedback stabilization method for uncertain 2D discrete switched systems with state delays and asynchronous switching, ensuring exponential stability through dwell time analysis.

Contribution

It introduces a novel stabilization approach for 2D switched systems with asynchronous switching and uncertainties, using dwell time techniques.

Findings

The proposed controller guarantees exponential stability under specified conditions.

Numerical example confirms the effectiveness of the stabilization method.

The approach handles asynchronous switching delays in 2D systems.

Abstract

This paper is concerned with the problem of robust stabilization for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type, where the switching instants of the controller experience delays with respect to those of the system, and the parameter uncertainties are assumed to be norm-bounded. A state feedback controller is proposed to guarantee exponential stability for such 2D discrete switched systems, and the dwell time approach is utilized for the stability analysis and controller design. A numerical example is given to illustrate the effectiveness of the proposed method.