Output feedback control of 2-D T-S fuzzy systems

This paper is concerned with output feedback control for two-dimensional (2-D) T-S fuzzy systems described by the Fornasini-Marchesini (FM) second model. A 2-D T-S fuzzy model is established first by taking its structural feature into consideration. This implication format can generally reduce the long and tedious fuzzy implications, resulting in a comparatively less computational demand when premise variables increase. Then by using matrix´s singular value decomposition, sufficient conditions for the 2-D fuzzy systems to be asymptotically stable are given in terms of linear matrix inequalities (LMIs), which can be easily obtained by Matlab´s LMI toolbox. Finally, a numerical example demonstrates the validity of this approach.