Multistability and hidden attractors in a relay system with hysteresis

Research output: Contribution to journalJournal article – Annual report year: 2015Researchpeer-review

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For nonlinear dynamic systems with switching control, the concept of a "hidden attractor" naturally applies to a stable dynamic state that either (1) coexists with the stable switching cycle or (2), if the switching cycle is unstable, has a basin of attraction that does not intersect with the neighborhood of that cycle. We show how the equilibrium point of a relay system disappears in a boundary-equilibrium bifurcation as the system enters the region of autonomous switching dynamics and demonstrate experimentally how a relay system can exhibit large amplitude chaotic oscillations at high values of the supply voltage. By investigating a four-dimensional model of the experimental relay system we finally show how a variety of hidden periodic, quasiperiodic and chaotic attractors arise, transform and disappear through different bifurcations. (C) 2015 Elsevier B.V. All rights reserved.
Original languageEnglish
JournalPhysica D: Nonlinear Phenomena
Volume306
Pages (from-to)6-15
Number of pages10
ISSN0167-2789
DOIs
Publication statusPublished - 2015
CitationsWeb of Science® Times Cited: No match on DOI

    Research areas

  • Multistability, Hidden attractor, Power electronic converter, Relay control system, Hysteresis

ID: 118351904