Passive and individual variance constrained fuzzy control for discrete-time fuzzy systems with multiplicative noise

This paper studies the passive and individual variance constrained fuzzy control problem for discrete-time stochastic Takagi-Sugeno fuzzy systems. The performances considered in this paper include passivity constraint and individual state variance constraint. The proposed fuzzy control is accomplished by using the concept of parallel distributed compensation. Based on the Lyapunov stability theory, the sufficient conditions are derived to achieve the above multiple performance constraints. In order to illustrate the applicability and validity of the proposed fuzzy control method, a numerical control simulation for a discrete-time Takagi-Sugeno fuzzy system with multiplicative noise is provided.