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Non-Fragile Controller Design for 2-D Discrete Uncertain Systems Described by the Roesser Model
Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India.
- 1 Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India.
Journal of Signal and Information Processing·Volume 03 (2012)·Pages 248–251·Published 30 May 2012·DOI10.4236/jsip.2012.32033
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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.
Keywords2-D Discrete SystemsNon-Fragile ControlRoesser ModelLinear Matrix InequalityLyapunov Methods
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