Limit cycles with chattering in relay feedback systems
Author
Summary, in English
Relay feedback has a large variety of applications in control engineering. Several interesting phenomena occur in simple relay systems. In the paper, scalar linear systems with relay feedback are analyzed. It is shown that a limit cycle where part of the limit cycle consists of fast relay switchings can occur. This chattering is analyzed in detail and conditions for approximating it by a sliding mode are derived. A result on existence of limit cycles with chattering is given, and it is shown that the limit cycles can have arbitrarily many relay switchings each period. Limit cycles with regular sliding modes are also discussed. Examples illustrate the results.
Department/s
Publishing year
2002
Language
English
Pages
1414-1423
Publication/Series
IEEE Transactions on Automatic Control
Volume
47
Issue
9
Full text
- Available as PDF - 350 kB
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Document type
Journal article
Publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
Topic
- Control Engineering
Keywords
- sliding modes
- relay control
- oscillations
- nonlinear dynamics
- Discontinuous control
- hybrid systems
Status
Published
ISBN/ISSN/Other
- ISSN: 0018-9286