Master-slave synchronization of modified Wien bridge oscillators via adaptive current injection

Abstract

Abstract The paper proposes an adaptive current injection method for master-slave synchronization of two electronic circuits, applied to a modified Wien bridge oscillator. The dynamic study includes stability analysis of equilibrium points, bifurcation diagrams, Lyapunov exponents, and isospikes, revealing critical values of resistances for Hopf bifurcation and period doubling. The numerical simulations confirm the hysteresis and the bifurcations in ‘hubs’ and validate the analytical results. The control of multistability leads to a monostable regime. A robust adaptive sliding mode controller whose stability is validated by Lyapunov’s theorem is proposed. Compared to conventional controllers such as sliding mode, single active, and time-delay feedback adaptive control, it improves synchronization by 37.98%, 45.41%, and 42.46% respectively. Finally, numerical simulations and PSpice validate the adaptive current injection synchronization, a method generalizable to other circuits.