Adaptive Fuzzy Quantized Control for Nonlinear Systems With Hysteretic Actuator Using a New Filter-Connected Quantizer.

This paper aims at the issue of adaptive fuzzy quantized control for a class of uncertain nonlinear systems preceded by unknown actuator hysteresis. One challenging problem that obstructs the development of the control scheme is that the direct application of the quantized signal containing high-frequency components to the hysteretic actuator will lead to system performance deterioration. To resolve this challenge, we propose a filter-connected quantizer in which a hysteretic quantizer is employed to reduce the communication rate and an adaptive high-cut filter is designed to smooth the hysteresis input. Furthermore, based on fuzzy logic systems' online approximation capability, a novel adaptive fuzzy control scheme involves a new control strategy and an adaptive strategy is constructed via a backstepping technique. It is proved that the proposed control scheme guarantees the tracking error is asymptotically convergent to an adjustable neighborhood of zero and all of the closed-loop signals are uniform ultimate bounded. Lastly, simulations are conducted to further verify our theoretical results.