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On the averaging of a class of hybrid systems
KTH, Superseded Departments, Signals, Sensors and Systems.ORCID iD: 0000-0001-9940-5929
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2004 (English)In: 43rd IEEE Conference on Decision and Control, 2004. CDC, IEEE , 2004, 1400-1405 p.Conference paper, Published paper (Refereed)
Abstract [en]

Modeling abstraction and time-scale separation in the design of complex systems often leads to hybrid dynamics. Discontinuities in the continuous evolution of a hybrid system may however create difficulties in the formal analysis, as well as in numerical simulation and verification. Here we study a class of hybrid systems that are excited by high-frequency external signals. These systems arise in the modeling of switched power converters, mechanical systems with friction and quantized systems. For a quite general class of excitation signals, an averaging result is shown stating that the hybrid system can be approximated by a Lipschitz-continuous system. The approximation is in the order of the maximal repetition interval of the excitation signal.

Place, publisher, year, edition, pages
IEEE , 2004. 1400-1405 p.
Series
IEEE Conference on Decision and Control - Proceedings, ISSN 0191-2216
Keyword [en]
RELAY FEEDBACK-SYSTEMS, QUANTIZATION, DITHER
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-84584DOI: 10.1109/CDC.2004.1430239ISI: 000226745601047Scopus ID: 2-s2.0-14344262087ISBN: 0-7803-8682-5 (print)OAI: oai:DiVA.org:kth-84584DiVA: diva2:499355
Conference
IEEE CDC, Paradise Island, Bahamas
Note
© 2004 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. QC 20120221Available from: 2012-02-21 Created: 2012-02-13 Last updated: 2012-02-21Bibliographically approved

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Johansson, Karl Henrik

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