TITLE:
Non-Fragile Controller Design for 2-D Discrete Uncertain Systems Described by the Roesser Model
AUTHORS:
Amit Dhawan
KEYWORDS:
2-D Discrete Systems; Non-Fragile Control; Roesser Model; Linear Matrix Inequality; Lyapunov Methods
JOURNAL NAME:
Journal of Signal and Information Processing,
Vol.3 No.2,
May
30,
2012
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.