Adaptive output-feedback inverse control for a class of time delay nonlinear hysteretic systems via fuzzy approximeter

In this paper, an fuzzy approximator based output feedback adaptive dynamic surface inverse control (DSIC) scheme is proposed for a class of time-delay systems preceded by unknown asymmetric hysteresis. The main advantages are as follows: 1) by combining the Finite Covering Lemma with fuzzy logic systems (FLSs), a novel time-delay function approx-imator is proposed with the benefits of the assumptions of the conservative upper bound functions on the time-delay functions are removed and the Krasovskii functionals are not required when deal with time delays. Also, the time delay functions extends to a more general one with states variables and time-delay variables being coupled; 2) by using the proposed initial technique, the Lnorm of the tracking error is obtained; 3) by constructing the inverse of the asymmetric hysteresis and approximating the unknown time-delay functions, both time delays and asymmetric hysteresis phenomena in the actuators are mitigated simultaneously when only the output of the system is available. It is proved that all the signals in the closed-loop systems are semi-globally ultimately uniformly bounded (SUUG). Simulation results show the validity of the proposed scheme.