Non-Fragile Controller Design for 2-D Discrete Uncertain Systems Described by the Roesser Model

Amit Dhawan

Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India..

DOI: 10.4236/jsip.2012.32033                

Abstract

This paper is concerned with the design problem of non-fragile controller for a class of two-dimensional (2-D) discrete uncertain systems described by the Roesser model. The parametric uncertainties are assumed to be norm-bounded. The aim of this paper is to design a memoryless non-fragile state feedback control law such that the closed-loop system is asymptotically stable for all admissible parameter uncertainties and controller gain variations. A new linear matrix inequality (LMI) based sufficient condition for the existence of such controllers is established. Finally, a numerical example is provided to illustrate the applicability of the proposed method.

Keywords

2-D Discrete Systems; Non-Fragile Control; Roesser Model; Linear Matrix Inequality; Lyapunov Methods

Conflicts of Interest

The authors declare no conflicts of interest.

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