A Design of Fuzzy Controller based on State and Disturbance Observers

Abstract

Regarding the T-S fuzzy model as a mathematical model of the plant to be controlled, the model is widely used in the fuzzy control systems for the purpose of designing controller. In this paper, the so-called lumped disturbance is considered in the T-S fuzzy model in an effort to cover the modeling error including the external disturbance, unmodeled dynamics and parameter perturbations. Following a design of the disturbance observer as well state observer in case the control state is unavailable, the existence conditions for the aforementioned observers are discussed. Finally, a design of T-S fuzzy controller based on the state and disturbance observers is developed. Also, simulations are provided to demonstrate the effectiveness of the approaches proposed.