Fast switches in relay feedback systems

Citation
Kh. Johansson et al., Fast switches in relay feedback systems, AUTOMATICA, 35(4), 1999, pp. 539-552
Citations number
30
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
AUTOMATICA
ISSN journal
00051098 → ACNP
Volume
35
Issue
4
Year of publication
1999
Pages
539 - 552
Database
ISI
SICI code
0005-1098(199904)35:4<539:FSIRFS>2.0.ZU;2-5
Abstract
Relays are common in automatic control systems. Even linear systems with re lay feedback are, however, far from fully understood. New results are given about the behavior of these systems via a state-space approach. It is prov ed that there exist multiple fast switches if and only if the sign of the f irst nonvanishing Markov parameter of the linear system is positive. Fast s witches are shown to occur as part of stable limit cycles. An analysis is d eveloped for these limit cycles that illustrates how they can be predicted. (C) 1999 Elsevier Science Ltd. All rights reserved.