An optimal synthesis of stochastic fuzzy systems subject to pole placement and output constraints

Abstract

An optimal control strategy with assigning all poles into a specified disk for the stochastic nonlinear Takagi-Sugeno fuzzy systems is studied in this paper. Firstly, some sufficient conditions are derived in terms of linear matrix inequalities based on the Lyapunov theory. Secondly, a fuzzy controller based on parallel distributed compensation technique is designed to meet all the desired control requirements via solving the corresponding sufficient conditions. Finally, the control effect of a nonlinear two-link robot system is proposed to demonstrate the validity and effectiveness of the presented design method.