On the averaging of a class of hybrid systems
2004 (English)In: 43rd IEEE Conference on Decision and Control, 2004. CDC, IEEE , 2004, 1400-1405 p.Conference paper (Refereed)
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.
, IEEE Conference on Decision and Control - Proceedings, ISSN 0191-2216
RELAY FEEDBACK-SYSTEMS, QUANTIZATION, DITHER
IdentifiersURN: urn:nbn:se:kth:diva-84584DOI: 10.1109/CDC.2004.1430239ISI: 000226745601047ScopusID: 2-s2.0-14344262087ISBN: 0-7803-8682-5OAI: oai:DiVA.org:kth-84584DiVA: diva2:499355
IEEE CDC, Paradise Island, Bahamas
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QC 201202212012-02-212012-02-132012-02-21Bibliographically approved