Fast switches in relay feedback systems
1999 (English)In: Automatica, ISSN 0005-1098, Vol. 35, no 4, 539-552 p.Article in journal (Refereed) Published
Relays are common in automatic control systems. Even linear systems with relay feedback are, however, far from fully understood. New results are given about the behavior of these systems via a state-space approach. It is proved that there exist multiple fast switches if and only if the sign of the first nonvanishing Markov parameter of the linear system is positive. Fast switches are shown to occur as part of stable limit cycles. An analysis is developed for these limit cycles that illustrates how they can be predicted.
Place, publisher, year, edition, pages
Elsevier, 1999. Vol. 35, no 4, 539-552 p.
Relay control; Sliding mode; Limit cycles; Chattering; Nonsmooth di¤erential equations; Oscillations; Piecewise linear
IdentifiersURN: urn:nbn:se:kth:diva-79898DOI: 10.1016/S0005-1098(98)00160-5ISI: 000079885000001OAI: oai:DiVA.org:kth-79898DiVA: diva2:495799
QC 201202272012-02-272012-02-092012-02-27Bibliographically approved