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Adaptive control of system involving complex hysteretic nonlinearities: a generalised Prandtl-Ishlinskii modelling approach. (English) Zbl 1178.93080

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:

93C40 Adaptive control/observation systems
93B35 Sensitivity (robustness)
93C10 Nonlinear systems in control theory
34D23 Global stability of solutions to ordinary differential equations
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