A new approach to controller design of stochastic fuzzy systems

This paper investigates the stochastic fuzzy logic and controller design of stochastic fuzzy systems based on the semi-tensor product of matrices. First, some concepts and properties on stochastic fuzzy logic are given. Then, the design of stochastic fuzzy controller is studied based on the semi-tensor product, and the algebraic form of stochastic fuzzy reasoning is obtained by constructing the structure matrix and the transition probability matrix. Finally, a numerical example is provided to demonstrate the new results in this paper.