Fuzzy PDC controller for a class of T-S fuzzy bilinear system via output feedback

Abstract

In this paper, fuzzy output feedback controller has been designed for a class of continuous time Takagi-Sugeno T-S fuzzy bilinear system. The parallel distributed compensation (PDC) technique is utilized to design a fuzzy controller. The stability conditions of the overall closed loop T-S fuzzy bilinear system are formulated in terms of Lyapunov via linear matrix inequality (LMI) and the desired controller gains can be obtained by solving a set of LMI. Some LMI conditions to set up the fuzzy controller to stabilize the T-S fuzzy bilinear system have been proposed. Finally, a numerical example and a practical application of dynamics of an isothermal continuous stirred tank reactor for the Van de Vusse are used to illustrate the applicability of the proposed method.