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Robust Non-Fragile Control of 2-D Discrete Uncertain Systems: An LMI Approach

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DOI: 10.4236/jsip.2012.33049    3,439 Downloads   4,899 Views   Citations

ABSTRACT

This paper considers the problem of robust non-fragile control for a class of two-dimensional (2-D) discrete uncertain systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model under controller gain variations. The parameter uncertainty is assumed to be norm-bounded. The problem to be addressed is the design of non-fragile robust controllers via state feedback such that the resulting closed-loop system is asymptotically stable for all admissible parameter uncertainties and controller gain variations. A sufficient condition for the existence of such controllers is derived based on the linear matrix inequality (LMI) approach combined with the Lyapunov method. Finally, a numerical example is illustrated to show the contribution of the main result.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

P. Sharma and A. Dhawan, "Robust Non-Fragile Control of 2-D Discrete Uncertain Systems: An LMI Approach," Journal of Signal and Information Processing, Vol. 3 No. 3, 2012, pp. 377-381. doi: 10.4236/jsip.2012.33049.

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