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Control of nonlinear systems preceded by unknown hysteresis nonlinearities is usually difficult and challenging due to the non-smooth nonlinearities of hysteresis. It has received increasing attention recently owing to growing industrial demands involving varied applications. Although many mathematical models have been proposed to describe the hysteresis phenomena, very few models are suitable to...
An observer-based adaptive control scheme for piezoelectric actuators is proposed. In the developed method the classical Duhem model is adopted to describe the hysteresis exhibited in the piezoelectric actuators. Due to the unavailability of the hysteresis output, an observer-based adaptive controller, with incorporation of a pre-inversion neural network compensator for the purpose of mitigating the...
In this paper, a new rate-dependent hysteresis model is developed. Subsequently, the basic properties of the developed model are detailed. Trajectory tracking of a class of nonlinear systems that involve such kind of hysteresis is then discussed without any approximation or inversion of the hysteresis model. Illustrative example is given to show the novelty of the theoretical results
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