Design of an Adaptive Fuzzy Backstepping Synergetic Control Scheme for a Class of Strict-Feedback Nonlinear Systems

The aim of this paper is to construct an adaptive fuzzy controller for strict feedback nonlinear uncertain disturbed systems. The backstepping and synergetic control techniques are combined to develop a robust controller for the considered class of systems. In this paper, fuzzy systems are utilized to estimate the unknown behaviors of the system. The proposed approach guarantees that all signals in the closed-loop adaptive control system are semi-globally uniformly ultimately bounded, and the tracking error eventually converges to a small neighbourhood of the origin. Numerical simulations are provided to show the effectiveness of the presented control technique.