Complicated dynamic regimes in phase-controlled self-excited oscillation system

Abstract

Dynamic states and bifurcations in the phase-locked-loop (PLL) system with modified characteristic of phase discriminator and second-order low-pass filter in the control system are studied. The analysis is based on the dynamic model of a system with one and a half degrees of freedom in a cylindrical phase space. Complicated quasi-synchronous and asynchronous regimes are demonstrated for such a multistable system. The regimes are not possible for a conventional PLL system with sine-shaped characteristic of the discriminator.