Adaptive Fuzzy Control for Fractional-Order Nonlinear System with Unknown Dead Zone

摘要

In this paper, an adaptive fuzzy backstepping dynamic surface control (DSC) scheme is proposed for fractional-order nonlinear systems (FONSs) in strict-feedback form with external disturbances and unknown dead zone. Fuzzy logic systems (FLSs) are utilized to approximate unknown nonlinear functions. By utilizing the DSC to avoid the inherent problem of ‘explosion of complexity’ in the backstepping technique, at the same time, constructing the dead zone inverse to compensate for the dead zone effect. Finally, the raised method can ensure that all the signals of the fractional-order closed-loop system are bounded, and the tracking error becomes arbitrarily small.