Observer-based robust passive fuzzy control for discrete Takagi-Sugeno fuzzy systems

This paper deals with the problem of observer-based robust passive fuzzy control for uncertain Takagi-Sugeno (T-S) fuzzy model with multiplicative noises. For describing the stochastic behaviors of the system, the stochastic differential equation is used to structure the stochastic T-S fuzzy model. And, the uncertainties of the controlled system are considered in this paper for dealing with molding errors and varying parameters. Furthermore, using the Lyapunov function and passivity theory, the sufficient stability conditions can be derived in term of Linear Matrix Inequality (LMI) via two-step procedure. Finally, the numerical simulations are proposed to show the effectiveness and usefulness of this paper.