An adaptive control method for a class of uncertain nonlinear systems with ferromagnetic hysteresis nonlinearity

This paper deals with the tracking problem of a class of uncertain nonlinear systems with ferromagnetic hysteresis nonlinearity, in which the adaptive backstepping control method is presented. The ferromagnetic hysteresis model is approximated using a linear input and a bounded nonlinear disturbance of which the bound is unknown. The designed controller guarantees that the output of the system tracks a desired signal and the tracking error converges to a small bound. The stability of the closed loop system is proved under the Lyapunov stability theory. Simulation example is given to illustrate the effectiveness of the scheme.