Adaptive fuzzy disturbance suppression for constrained nonlinear systems under faulty condition

For a class of full-states constraints nonlinear system with actuator failure, an adaptive fuzzy disturbance observer tracking design is carried out by using Lyapunov function and the dynamic surface method. The integral explosion problem is avoided by using the dynamic surface design method. Because the disturbance of the system is unknown, a nonlinear fuzzy disturbance observer is designed to estimate the unknown disturbance. And the unknown nonlinear function is approximated fuzzy logic systems. Based on the Lyapunov function method and backstepping approach, the stability of considered systems are analysed. And the proposed method can guarantee that all the signals in the closed-loop system are bounded and the system output can track the desired signal to the small neighbourhood range. In addition, the fuzzy disturbance observer can estimate the unknown disturbance state well. Finally, several sets of simulation examples are given and compared with other method, and the experimental results are quantitatively analysed. Then, the robustness and superiority of the proposed control scheme are verified and demonstrated.