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

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DOI: 10.4236/jsip.2012.32033    4,617 Downloads   7,246 Views  Citations
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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.

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A. Dhawan, "Non-Fragile Controller Design for 2-D Discrete Uncertain Systems Described by the Roesser Model," Journal of Signal and Information Processing, Vol. 3 No. 2, 2012, pp. 248-251. doi: 10.4236/jsip.2012.32033.

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