Fuzzy modeling and control of a nonlinear magnetic bearing system

Abstract

This paper presents an approach, called fuzzy model based nonlinear fuzzy control, that overcomes position dependent nonlinearity of magnetic bearing systems. We represent the nonlinear magnetic bearing by the Takagi-Sugeno-Kang fuzzy model. Based on such model, nonlinear fuzzy controllers can be derived by means of a systematic synthesis approach. Moreover, the stability analysis of the fuzzy control system can be done efficiently by using linear matrix inequality method. Simulation results demonstrate that the proposed fuzzy controller yields not only maximized stability boundary but also better performance than a single operating point linear controller.