Fractional control and generalized synchronization for a nonlinear electromechanical chaotic system and its circuit simulation with Multisim

Authors: ZHEN WANG, TENGFEI LEI, XIAOJIAN XI, WEI SUN

Abstract: Two fractional differential controllers, described and validated by using the fractional order stability theorem and the Gershgorin circle theorem for a self-sustained electromechanical system consisting of a van der Pol-Duffing coupled oscillator, were studied in this paper. Based on the idea of a nonlinear observer, a new method for generalized synchronization (GS) of this system is proposed. Finally, the circuit simulation results demonstrate the correctness and the effectiveness of the proposed control and GS strategy.

Keywords: Fractional order controller, generalized synchronization, electromechanical system, circuit simulation

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