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An operator-theoretic viewpoint to non-smooth dynamical systems: Koopman analysis of a hybrid pendulum
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2016 (English)In: 2016 IEEE 55th Conference on Decision and Control (CDC), Las Vegas: IEEE conference proceedings, 2016, 6477-6484 p.Conference paper (Refereed)
Abstract [en]

We apply an operator-theoretic viewpoint to a class of non-smooth dynamical systems that are exposed to event-triggered state resets. The considered benchmark problem is that of a pendulum which receives a downward kick at certain fixed angles. The pendulum is modeled as a hybrid automaton and is analyzed from both a geometric perspective and the formalism of Koopman operator theory. A connection is drawn between these two interpretations of a dynamical system by establishing a link between the spectral properties of the Koopman operator and the geometric properties in the state-space.

Place, publisher, year, edition, pages
Las Vegas: IEEE conference proceedings, 2016. 6477-6484 p.
Keyword [en]
control system analysis;nonlinear dynamical systems;Koopman analysis;Koopman operator theory;event-triggered state resets;geometric perspective;hybrid automaton;hybrid pendulum analysis;nonsmooth dynamical systems;operator-theoretic viewpoint;Angular velocity;Automata;Damping;Eigenvalues and eigenfunctions;Orbits;Power system dynamics;Trajectory
National Category
Other Mechanical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-203285DOI: 10.1109/CDC.2016.7799266ScopusID: 2-s2.0-85010788244OAI: oai:DiVA.org:kth-203285DiVA: diva2:1081955
Conference
2016 IEEE 55th Conference on Decision and Control (CDC)
Note

QC 20170321

Available from: 2017-03-15 Created: 2017-03-15 Last updated: 2017-03-21Bibliographically approved

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Publisher's full textScopushttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7799266&isnumber=7798233

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Citation style
  • apa
  • harvard1
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  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf