Robust fuzzy control for passive Continuous Stirred Tank Reactor system with multiplicative noise

Abstract

This paper focused on the robust fuzzy controller design for passive continuous stirred tank reactor (CSTR) system with multiplicative noise term. In order to simplify difficultly in stabilization problems for considered nonlinear system, the Takagi-Sugeno (T-S) fuzzy model technique was employed to carry out the proposed design method. For considering the real complex operation conditions, the time-varying delay, uncertainties and stochastic behaviors were considered in this paper. During derivation of stability condition, the Lyapunov-Krasovskii function and strictly input passive were applied with Ito's formula. In order to apply the convex optimization algorithm, the sufficient stability condition must be converted into linear matrix inequality (LMI) problem. Finally, a simulation results were proposed to verify the applications of the proposed fuzzy controller design technique for nonlinear CSTR system.