Recursive backstepping control of ferroresonant chaotic oscillations consisting between grading capacitor with nonlinear inductance of voltage transformer

In this study, the ferroresonant modes are investigated by depending on core losses and the problem of chaotic motion on a ferroresonant circuit is considered. We study the problem of control of chaos in ferroresonant circuit using backstepping nonlinear control to become stable in the equilibrium p...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2021-08, Vol.230 (7-8), p.1829-1837
Main Authors: Emiroglu, Selcuk, Uyaroglu, Yilmaz, Gümüş, Talha Enes
Format: Article
Language:English
Subjects:
Atomic
Chaos theory
Circuit Application of Chaotic Systems: Modeling
Circuits
Classical and Continuum Physics
Condensed Matter Physics
Control theory
Core loss
Dynamical Analysis and Control
Inductance
Materials Science
Measurement Science and Instrumentation
Molecular
Nonlinear control
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Voltage transformers
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Summary:In this study, the ferroresonant modes are investigated by depending on core losses and the problem of chaotic motion on a ferroresonant circuit is considered. We study the problem of control of chaos in ferroresonant circuit using backstepping nonlinear control to become stable in the equilibrium point and converge to desired trajectory or point. A recursive backstepping control theory is utilized to design an appropriate control input signal which achieve the control of the system based on Lyapunov theory. For the comparison, the control of chaos in ferroresonant condition with one and two control inputs designed using backstepping theory is compared. Numerical simulations are used to demonstrate the effectiveness of designed control inputs for chaos control in ferroresonant phenomena.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjs/s11734-021-00150-9