Stability analysis and synthesis for an affine fuzzy system via LMIand ILMI: discrete case

摘要

This paper develops a stability analysis and controller synthesisnmethodology for a discrete affine fuzzy system based on the convexnoptimization techniques. In analysis, the stability condition undernwhich the affine fuzzy system is quadratically stable is derived. Then,nthe condition Is recast in the formulation of Linear Matrix Inequalitiesn(LMI) and numerically addressed. The emphasis of this paper, however, isnon the synthesis of fuzzy controller based on the derived stabilityncondition. In synthesis, the stabilizability condition turns out to benin the formulation of nonconvex matrix inequalities and is solvednnumerically in an iterative manner. Discrete iterative LMI (ILMI)napproach is proposed to obtain the feasible solution for the synthesisnof the affine fuzzy system. Finally, the applicability of the suggestednmethodology is demonstrated via some examples and computer simulations