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

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.