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Adaptive Control for Uncertain Continuous-Time Systems Using Implicit Inversion of Prandtl-Ishlinskii Hysteresis Representation

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3 Author(s)
Xinkai Chen ; Dept. of Electron. & Inf. Syst., Shibaura Inst. of Technol., Saitama, Japan ; Hisayama, T. ; Chun-Yi Su

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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:55 ,  Issue: 10 )