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Analysis of chattering in continuous sliding-mode controllers
Abstract
An analysis of two most popular continuous sliding-mode algorithms: The power-fractional sliding-mode algorithm and a second-order sliding-mode algorithm known as the super-twisting is carried out in the frequency domain with the use of the describing function method. It is shown that in the presence of an actuator, the transient process converges to a periodic motion. Parameters of this periodic motion are analyzed. A few examples are considered to illustrate the obtained results.
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Citations
Cited by
Jin, M., Lee, J., Chang, P. H., & Choi, C. (2009) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2009.2024097 · Cited by 428
Sliding mode control of DC/DC converters
Utkin, V. (2013) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2013.02.026 · Cited by 380
Microscale Precision Control of a Computer-Assisted Transoral Laser Microsurgery System
Lee, J., Deshpande, N., Caldwell, D. G., & Mattos, L. S. (2020) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2020.2973381 · Cited by 26
Metadata
- Authors
- Boiko, I., & Fridman, L.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2005-09
- Volume
- 50
- Issue
- 9
- Pages
- 1442-1446
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2089161570
- Cited by
- 402
- References
- 0
- FWCI
- 29.42
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Analysis of chattering in continuous sliding-mode controllers. https://app.cochat.ai/papers/10.1109/tac.2005.854655
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- Boiko, I., & Fridman, L. (2005). Analysis of chattering in continuous sliding-mode controllers. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2005.854655
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