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Quasi-continuous high-order sliding-mode controllers
Abstract
A universal finite-time-convergent controller is developed capable to control the output of any uncertain single-input-single-output system with a known permanent relative degree r. The tracking error /spl sigma/ is steered to zero by means of a control dependent only on /spl sigma/, /spl sigma//spl dot/, ..., /spl sigma//sup (r-1)/ and continuous everywhere except the set /spl sigma/=/spl sigma//spl dot/=/spl middot//spl middot//spl middot/=/spl sigma//sup (r-1)/=0. A robust output-feedback controller version provides for the tracking accuracy proportional to the sampling noise magnitude.
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Citations
Cited by
Levant, A. (2010) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2010.2041973 · Cited by 482
Self-citationStability notions and Lyapunov functions for sliding mode control systems
Polyakov, A., & Fridman, L. (2014) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2014.01.002 · Cited by 420
Second-Order Sliding Mode Control for Nonlinear Uncertain Systems Bounded by Positive Functions
Ding, S., Wang, J., & Zheng, W. X. (2015) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2015.2448064 · Cited by 162
Sun, J., Zhang, M., Ma, L., Ding, S., & Yu, X. (2025) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2025.3597432 · Cited by 8
Metadata
- Authors
- Levant, A.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2005-11
- Volume
- 50
- Issue
- 11
- Pages
- 1812-1816
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2563369907
- Cited by
- 602
- References
- 0
- FWCI
- 25.83
- Type
- journal article
- Language
- en
- Open access
- closed
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