Quasi-periodic dynamics in system with multilevel pulse modulated control

International Conference on Mechanical Engineering, Automation and Control Systems 2017

机械制造;无线电电子学;计算机科学

Gol'Tsov, Y.A.^1 ; Kizhuk, A.S.^1 ; Rubanov, V.G.^1

Belgorod State Technological University Named after V.G. Shoukhov, 46 Kostyukov St., Belgorod

308012, Russia^1

关键词: Basins of attraction;    Border collision bifurcation;    Discontinuous right-hand sides;    Non-linear phenomena;    Nonautonomous differential equation;    Pulse-modulated control;    Pulse-width-modulated;    Quasiperiodic dynamics;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/327/5/052014/pdf
DOI  :  10.1088/1757-899X/327/5/052014

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

In this paper, the authors describe the transitions from the regular periodic mode to quasiperiodicity that can be observed in a multilevel pulse-width modulated control system for a high-power heating unit. The behavior of such system can be described by a set of two coupled non-autonomous differential equations with discontinuous right-hand sides. The authors reduce the investigation of this system to the studying of a two-dimensional piecewise-smooth map. The authors demonstrate how a closed invariant curve associated with quasiperiodic dynamics can arise from a stable periodic motion through a border-collision bifurcation. The paper also considers a variety of interesting nonlinear phenomena, including phase-locking modes, the coexistence of several stable closed invariant curves, embedded one into the other and with their basins of attraction separated by intervening repelling closed curves.