Previous published researches on chaos, controlling and synchronization in phasedlocked loops focused only on integer-order phase-locked loops. In this paper, we study control and synchronization of phase-locked loop systems based on fractional-order differential equations. Stability analyses of commensurate fractionalorder linear system are utilized to control chaotic behaviour exhibited by fractional-order differential equationbased phase-locked loop. Furthermore, chaos synchronization is obtained by employing the nonlinear state observer method. Finally, numerical simulations verify the effectiveness and applicability of our approaches.

Control and synchronization of fractional-order differential equations of phase-locked loop

Frasca M.;Caponetto R.;Fortuna L.
2012

Abstract

Previous published researches on chaos, controlling and synchronization in phasedlocked loops focused only on integer-order phase-locked loops. In this paper, we study control and synchronization of phase-locked loop systems based on fractional-order differential equations. Stability analyses of commensurate fractionalorder linear system are utilized to control chaotic behaviour exhibited by fractional-order differential equationbased phase-locked loop. Furthermore, chaos synchronization is obtained by employing the nonlinear state observer method. Finally, numerical simulations verify the effectiveness and applicability of our approaches.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/374673
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