The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Finite‐ and fixed‐time differentiators utilising HOSM techniques
Abstract
Finite‐ and fixed‐settling time of real‐time differentiators utilising a higher‐order sliding mode (HOSM) observer based on both non‐recursive and recursive algorithm formulations are studied using constant observer gains. Fixed convergence time estimation is achieved independent of initial conditions of the differentiation errors. The corresponding convergence/settling times are estimated. The HOSM differentiators are compared with the ideal differentiation formulation and MATLAB's differentiator. The analysis incorporates input noise to demonstrate via simulations the improved performance for real‐time noisy input signals.
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Cites
Differential equations with discontinuous right hand sides
(1989) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(89)90171-7 · Cited by 4,893
Differential Equations with Discontinuous Righthand Sides
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Higher-order sliding modes, differentiation and output-feedback control
Levant, A. (2003) · International Journal of Control · doi:10.1080/0020717031000099029 · Cited by 3,864
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Utkin, V., Guldner, J., & Shi, J. (2017) · CRC Press eBooks · doi:10.1201/9781420065619 · Cited by 3,226
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Shtessel, Y., Edwards, C., Fridman, L., & Levant, A. (2014) · Control Engineering · doi:10.1007/978-0-8176-4893-0 · Cited by 2,872
Self-citationRobust exact differentiation via sliding mode technique
Levant, A. (1998) · Automatica · doi:10.1016/s0005-1098(97)00209-4 · Cited by 2,292
Geometric homogeneity with applications to finite-time stability
Bhat, S. P., & Bernstein, D. S. (2005) · Mathematics of Control Signals and Systems · doi:10.1007/s00498-005-0151-x · Cited by 1,669
Asynchronously switched control of switched linear systems with average dwell time
Zhang, L., & Gao, H. (2010) · Automatica · doi:10.1016/j.automatica.2010.02.021 · Cited by 787
Smooth second-order sliding modes: Missile guidance application
Shtessel, Y. B., Shkolnikov, I. A., & Levant, A. (2007) · Automatica · doi:10.1016/j.automatica.2007.01.008 · Cited by 709
Self-citationUniform Robust Exact Differentiator
Cruz-Zavala, E., Moreno, J. A., & Fridman, L. M. (2011) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2160030 · Cited by 559
Cited by
Ni, J., Wu, Z., Liu, L., & Liu, C. (2020) · ISA Transactions · doi:10.1016/j.isatra.2019.07.013 · Cited by 105
Qi, X., Xu, S., & Liu, W. (2025) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2025.3582854 · Cited by 7
Metadata
- Authors
- Basin, M., Yu, P., & Shtessel, Y.
- Venue
- IET Control Theory & Applications
- Published
- 2017-05
- Volume
- 11
- Issue
- 8
- Pages
- 1144-1152
- ISSN
- 1751-8644 (ISSN-L)
- 1751-8652
- OpenAlex
- W2560364552
- Cited by
- 305
- References
- 14
- FWCI
- 10.38
- Type
- journal article
- Language
- en
- Open access
- closed
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