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

DOI

10.3906/elk-1303-104

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

First Page

1502

Last Page

1515

Recommended Citation

WANG, ZHEN; LEI, TENGFEI; XI, XIAOJIAN; and SUN, WEI (2016) "Fractional control and generalized synchronization for a nonlinear electromechanical chaotic system and its circuit simulation with Multisim," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 24: No. 3, Article 58. https://doi.org/10.3906/elk-1303-104
Available at: https://journals.tubitak.gov.tr/elektrik/vol24/iss3/58