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Zbl 1239.93033
Li, Chunlai
Tracking control and generalized projective synchronization of a class of hyperchaotic system with unknown parameter and disturbance. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 405-413 (2012). ISSN 1007-5704

Summary: In this paper, the tracking control and generalized projective synchronization of a class of hyperchaotic system with unknown parameter and disturbance are investigated. Based on LaSalle's invariant set theorem, a robust adaptive controller is contrived to acquire tracking control and generalized projective synchronization and parameter identification simultaneously. It is proved theoretically that the proposed scheme can allow us to drive the hyperchaotic system to any desired reference signals, including hyperchaotic signals, chaotic signals, periodic orbits or fixed value by the given scaling factor. The presented simulation results further demonstrate that the proposed method is effective and robust.

MSC 2000:: *93B35 Sensitivity (robustness) of control systems
93C40 Adaptive control systems
93B30 System identification
34H10

Keywords: generalized projective synchronization; tracking control; unknown parameter; disturbance

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