International Conference on Mechanical Engineering, Automation and Control Systems 2017 | |
Quasi-periodic dynamics in system with multilevel pulse modulated control | |
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 |
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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.
【 预 览 】
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Quasi-periodic dynamics in system with multilevel pulse modulated control | 516KB | download |