Adaptive fault-tolerant control for a class of fractional order non-strict feedback nonlinear systems
Ming Wei, Yuan‐Xin Li, Shaocheng Tong
Abstract
In this article, an adaptive fuzzy fault-tolerant control problem is investigated for a class of fractional order non-strict feedback nonlinear systems with actuator faults, where the unknown nonlinear functions are approximated by fuzzy logic systems. Within the framework of the backstepping technique we proposed a novel backstepping controller to avoid the algebraic loop problem via the property of fuzzy basis functions. Meanwhile, a compensation term in the form of smoothing functions of conventional control law is utilised to compensate for the effects caused by actuator faults where the number of them is allowed to be infinite. Finally, the fractional Lyapunov stability theory demonstrates that the tracking performance and boundedness of the close-loop systems are achieved in finite time. The simulation results are carried out to validate the effectiveness of the design scheme.