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Zbl 1178.93080
Su, Chun-Yi; Feng, Ying; Hong, Henry; Chen, Xinkai
Adaptive control of system involving complex hysteretic nonlinearities: a generalised Prandtl-Ishlinskii modelling approach. (English)
[J] Int. J. Control 82, No. 10, 1786-1793 (2009). ISSN 0020-7179; ISSN 1366-5820/e

Summary: An adaptive control approach is proposed for a class of nonlinear systems preceded by unknown hysteretic nonlinearities, which is described by a generalised Prandtl-Ishlinskii (P-I) model. The main feature is that the generalised P-I hysteresis model is counted in the controller design without constructing a hysteresis inverse. The developed controller guarantees the global stability of the system and tracking a desired trajectory to a certain precision is achieved. The effectiveness of the proposed control approach is demonstrated through simulation example.

MSC 2000:: *93C40 Adaptive control systems
93B35 Sensitivity (robustness) of control systems
93C10 Nonlinear control systems
34D23 Global stability

Keywords: hysteretic nonlinearities; nonlinear system; Prandtl-Ishlinskii model; robust adaptive control

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Zentralblatt MATH Berlin [Germany]