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Time reversal symmetries and zero dynamics for simple hybrid Hamiltonian control systems
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control. KTH, School of Electrical Engineering and Computer Science (EECS), Centres, ACCESS Linnaeus Centre.
2018 (English)In: 2018 Annual American Control Conference (ACC), Institute of Electrical and Electronics Engineers (IEEE), 2018, p. 2218-2223Conference paper, Published paper (Refereed)
Abstract [en]

This paper studies Hamel's formalism for simple hybrid mechanical control systems and explores the role of time-reversal symmetries and hybrid zero dynamics to predict the existence of periodic orbits in these control system. A time reversal symmetry in the phase-space permits us to construct a time reversible hybrid Hamiltonian system. If the Hamiltonian function describing the continuous dynamics and the impact map are invariants under a time reversal symmetry on the zero hybrid dynamics, under some mild conditions, we find sufficient conditions for the existence of periodic solutions for the class of simple hybrid Hamiltonian control systems.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2018. p. 2218-2223
Series
Proceedings of the American Control Conference, ISSN 0743-1619
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-234868DOI: 10.23919/ACC.2018.8431672Scopus ID: 2-s2.0-85052550147ISBN: 9781538654286 (print)OAI: oai:DiVA.org:kth-234868DiVA, id: diva2:1247433
Conference
2018 Annual American Control Conference, ACC 2018, Wisconsin Center / Hilton Milwauke City CenterMilwauke, United States, 27 June 2018 through 29 June 2018
Note

QC 20180912

Available from: 2018-09-12 Created: 2018-09-12 Last updated: 2018-09-12Bibliographically approved

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Colombo, Leonardo

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