Recursive backstepping control of ferroresonant chaotic oscillations consisting between grading capacitor with nonlinear inductance of voltage transformer
Electrical Electronics Engineering Department, Sakarya University, Sakarya, Turkey
Accepted: 28 April 2021
Published online: 1 June 2021
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.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021