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Tracking control and generalized projective synchronization of a class of hyperchaotic system with unknown parameter and disturbance. (English) Zbl 1239.93033
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:
93B35Sensitivity (robustness) of control systems
93C40Adaptive control systems
93B30System identification
34H10Chaos control (ODE)
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