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Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
Open accessAbstract
Two types of nonlinear control algorithms are presented for uncertain linear plants. Controllers of the first type are stabilizing polynomial feedbacks that allow to adjust a guaranteed convergence time of system trajectories into a prespecified neighborhood of the origin independently on initial conditions. The control design procedure uses block control principles and finite-time attractivity properties of polynomial feedbacks. Controllers of the second type are modifications of the second order sliding mode control algorithms. They provide global finite-time stability of the closed-loop system and allow to adjust a guaranteed settling time independently on initial conditions. Control algorithms are presented for both single-input and multi-input systems. Theoretical results are supported by numerical simulations.
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Cited by
A class of predefined-time stable dynamical systems
Sánchez-Torres, J. D., Gómez-Gutiérrez, D., López, E., & Loukianov, A. G. (2018) · IMA Journal of Mathematical Control and Information · doi:10.1093/imamci/dnx004 · Cited by 570
Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems
Chen, M., Wang, H., & Liu, X. (2021) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2019.2959972 · Cited by 405
Adaptive Finite-Time Tracking Control of Nonlinear Systems With Dynamics Uncertainties
Wang, H., Xu, K., & Zhang, H. (2023) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3226703 · Cited by 342
Cao, S., Sun, L., Jiang, J., & Zuo, Z. (2023) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2021.3116713 · Cited by 221
Ni, J., Wu, Z., Liu, L., & Liu, C. (2020) · ISA Transactions · doi:10.1016/j.isatra.2019.07.013 · Cited by 105
Metadata
- Authors
- Polyakov, A.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2012-08
- Volume
- 57
- Issue
- 8
- Pages
- 2106-2110
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2015113370
- Cited by
- 5,207
- References
- 0
- FWCI
- 16.85
- Type
- journal article
- Language
- en
- Open access
- green
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- Polyakov, A. (2012). Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2011.2179869
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