Abstract

In this paper, the nonlinear dynamics of a non-autonomous system model for third order sub-harmonic in a basic ferroresonant circuit are analyzed in details, including phase trajectory, Poincaré map, bifurcation diagram, dissipativity analysis and Spectrogram map. Furthermore, a sliding mode controller of the system is designed and both theory analysis and numerical simulation are presented, which shows the effectiveness and potentials of the proposed techniques.

Key words: Third order sub-harmonic model, dynamics analysis, sliding mode control.