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Saleh Mobayen

Mofid, O., Mobayen, S.
Adaptive synchronization of fractional-order quadratic chaotic flows with non-hyperbolic equilibrium
Adaptive synchronization of fractional-order quadratic chaotic flows with non-hyperbolic equilibrium
Abstract


This paper offers a design technique of adaptive sliding mode disturbance observer for synchronization of fractional-order quadratic chaotic flows with nonhyperbolic equilibriums and time-varying disturbances. Applying the Lyapunov stability concept, the recommended control method satisfies that the states of the fractional-order master and slave quadratic chaotic systems are synchronized. Additionally, an adaptive regulation scheme is advised to estimate the unknown upper bound of disturbances and the planned disturbance-observer realizes disturbance approximation error. Finally, simulation results are presented in three different examples to exhibit the effectiveness of the offered method.

 

 

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