Observer-based robust fuzzy controller design for uncertain stochastic T-S fuzzy model with passivity performance

Abstract

The issue of observer-based robust passive fuzzy controller design is discussed and investigated in this paper for uncertain stochastic Takagi-Sugeno (T-S) fuzzy model with external disturbance. For describing the stochastic behaviors of system, the stochastic differential equation is used to structure the stochastic T-S fuzzy model for representing the nonlinear stochastic systems. Using the Lyapunov function and passivity theory, the sufficient stability condition can be derived in term of linear matrix inequality (LMI) by Ito¿'s formula. With stability conditions, a less conservatism design method is developed to synthesize the state feedback fuzzy controller and fuzzy observer for guaranteeing the asymptotical stability and strictly input passivity of system in the mean square.