Stability analysis of the simplest takagi-sugeno fuzzy control system using Popov criterion

Abstract

In our paper, the properties of the simplest Takagi-Sugeno (T-S) fuzzy controller are first investigated. Next, based on the well-known Popov criterion with graphical interpretation, a sufficient condition in the frequency domain is proposed to guarantee the globally asymptotical stability of the simplest T-S fuzzy control system. Since this sufficient condition is presented in the frequency do-main, it is of great significance in designing the simplest T-S fuzzy controller in the frequency domain. © 2007 Springer-Verlag Berlin Heidelberg.