Author(s)

Paramanand Sharma, Amit Dhawan

Motilal Nehru National Institute of Technology.

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.

2-D Discrete Systems; Fornasini-Marchesini Second Local State-Space Model; Non-Fragile Control; Linear Matrix Inequality; Lyapunov Methods

Sharma, P. and Dhawan, A. (2012) Robust Non-Fragile Control of 2-D Discrete Uncertain Systems: An LMI Approach. Journal of Signal and Information Processing, 3, 377-381. doi: 10.4236/jsip.2012.33049.