IEEE Transactions on Automatic Control · 2010 · 104 citations · 13 references
EngineeringMathematicsSystems EngineeringDynamical SystemsSystem DynamicsSystems ModelingAdaptive ControlControl Of Dynamical SystemsControl SystemsControl TheoryController DesignFeedback ControlAdaptive Control Of Nonlinear SystemsAdaptive Control Of Uncertain SystemsContinuous-time Control SystemsContinuous-time Dynamical SystemsDynamical Systems StabilityHysteresisHysteresis EffectsHysteresis Modeling
In this note, an implicit inversion approach is introduced to avoid difficulties associated with stability analysis in the direct application of inversion for operator-based hysteresis models. Based on this implicit inversion, an adaptive control algorithm is formulated for continuous-time linear dynamical systems preceded with hysteresis nonlinearities described by the Prandtl-Ishlinskii model. A stability analysis of the controlled system is performed to show that zero-output tracking error can be achieved. Simulation results show the effectiveness of the proposed algorithm.
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