This paper presents an approach to use the adaptive controller for a class of uncertain systems in the presence of unknown Preisach-type hysteresis in input, unknown time-varying parameters, and unknown time-varying disturbances. The hysteresis operator can be transformed into an equivalent linear time-varying (LTV) system with uncertainties, which means that the effect of the hysteresis can be considered as general uncertainties to the system. Without constructing the inverse hysteresis function, the adaptive control is used to handle the uncertainties introduced by the hysteresis, as well as system dynamics. The adaptive controller presented in this paper ensures uniformly bounded transient and tracking performance for uncertain hysteretic systems. The performance bounds can be systematically improved by increasing the adaptation rate. Simulation results with Preisach-type hysteresis are provided to verify the theoretical findings.
Adaptive Control for Uncertain Hysteretic Systems
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received November 30, 2012; final manuscript received August 1, 2013; published online October 7, 2013. Assoc. Editor: Qingze Zou.
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Zou, X., Luo, J., and Cao, C. (October 7, 2013). "Adaptive Control for Uncertain Hysteretic Systems." ASME. J. Dyn. Sys., Meas., Control. January 2014; 136(1): 011011. https://doi.org/10.1115/1.4025241
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