Filter design for stochastically perturbed T-S Fuzzy systems
This paper focuses on the observer-based passive fuzzy controller design problem for uncertain Takagi-Sugeno (T-S) fuzzy models with time-delay and multiplicative noise. For stability analysis and synthesis, the sufficient conditions are derived via Lyapunov-krasovskii function and Itô’s formula in terms of Linear Matrix Inequalities (LMIs). In addition, the passivity theory is employed to discuss external disturbance effect on a system for achieving attenuation performance. Based on the concept of Parallel Distributed Compensation (PDC), the proposed observer-based fuzzy controller is developed. Through the proposed design method, the robust asymptotical stability and passivity of closed-loop system can be driven by the designed observer-based fuzzy controllers. Finally, a control simulation of the nonlinear synchronous generator system is presented to demonstrate the effectiveness and an application of the proposed design method.