Dilated LMIs based stability analysis for artificial T-S fuzzy control systems

Abstract

This paper presents relaxed stabilization condition for artificial Takagi-Sugeno (T-S) fuzzy control systems. Continuous membership functions of the T-S fuzzy system are represented by staircase membership functions. With the property of the staircase membership functions, it turns the set of infinite number of linear matrix inequalities(LMIs) based stability conditions into a finite one. The proposed stability analysis is represented dilated LMIs which is used to add slack variables for less conservative stability conditions. Finally, simulation example is given to illustrate the merits of the proposed method.