The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Chattering Analysis
Abstract
A formal mathematical definition of chattering is proposed. Chattering properties are studied of various control approaches. The dangerous hard chattering is proved to be removed by proper use of high-order sliding-modes. Computer simulation confirms the theoretical results.
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Citations
Cites
Isidori, A. (1989) · Springer eBooks · doi:10.1007/978-3-662-02581-9 · Cited by 7,869
Sliding Modes in Control and Optimization
Utkin, V. I. (1992) · Springer eBooks · doi:10.1007/978-3-642-84379-2 · Cited by 6,684
Differential Equations with Discontinuous Righthand Sides
Filippov, A. F. (1988) · Mathematics and Its Applications · doi:10.1007/978-94-015-7793-9 · Cited by 4,720
Higher-order sliding modes, differentiation and output-feedback control
Levant, A. (2003) · International Journal of Control · doi:10.1080/0020717031000099029 · Cited by 3,864
Self-citationSliding order and sliding accuracy in sliding mode control
LEVANT, A. (1993) · International Journal of Control · doi:10.1080/00207179308923053 · Cited by 3,093
Self-citationSliding Mode Control: Theory And Applications
Edwards, C., & Spurgeon, S. (1998) · CRC Press eBooks · doi:10.1201/9781498701822 · Cited by 3,019
Robust exact differentiation via sliding mode technique
Levant, A. (1998) · Automatica · doi:10.1016/s0005-1098(97)00209-4 · Cited by 2,292
Self-citationChattering avoidance by second-order sliding mode control
Bartolini, G., Ferrara, A., & Usai, E. (1998) · IEEE Transactions on Automatic Control · doi:10.1109/9.661074 · Cited by 1,058
Principles of 2-sliding mode design
Levant, A. (2007) · Automatica · doi:10.1016/j.automatica.2006.10.008 · Cited by 833
Self-citationLiapunov Functions and Stability in Control Theory
Bacciotti, A., & Rosier, L. (2005) · Communications and Control Engineering · doi:10.1007/b139028 · Cited by 778
Cited by
Rubagotti, M., Raimondo, D. M., Ferrara, A., & Magni, L. (2011) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2010.2074590 · Cited by 196
Metadata
- Authors
- Levant, A.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2010-06
- Volume
- 55
- Issue
- 6
- Pages
- 1380-1389
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2294731800
- Cited by
- 482
- References
- 16
- FWCI
- 11.99
- Type
- journal article
- Language
- en
- Open access
- closed
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