Study on Bifurcation Analysis and Takagi-Sugeno Fuzzy Sampled-Data Stabilization of PMSM Systems

Abstract

The bifurcation, stability and stabilization analysis of permanent\nmagnet synchronous motor (PMSM) systems are investigated in this paper.\nTo begin, a new class of delay-dependent sufficient conditions is\nsuggested with respect to the information of the membership function, a\nrelevant Lyapunov-Krasovskii functional (LKF), and the overall\ninformation connected with the real sampling pattern, so that the fuzzy\nsystem is ensured to be stable with a weighted dissipativity efficiency.\nSecond, sampled-data control is intended to stabilize the Takagi-Sugeno\n(T-S) fuzzy system with specified integral inequalities based on the\nobtained results. The required conditions are stated in terms of the\nfeasibility of linear matrix inequalities (LMIs) under the dissipativity\noutput index, and can readily be verified by MATLAB toolbox. Finally,\nverification examples are contributed to demonstrated the efficacy of\nthe techniques established in this paper.