The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
A dynamic high-gain design for prescribed-time regulation of nonlinear systems
Abstract
“Prescribed-time” stabilization addresses the problem of regulating the state to the origin in a fixed (prescribed) time irrespective of the initial state. While prior results on prescribed-time stabilization considered specific classes of systems such as a chain of integrators with uncertainties matched with the control input (i.e., normal form), we address here a general class of nonlinear systems in a generalized strict-feedback-like structure with state-dependent nonlinear uncertainties throughout the system dynamics. The proposed control design is based on our dynamic high gain scaling technique along with a novel temporal transformation and form of the scaling dynamics with temporal forcing terms. We show that the proposed control design achieves prescribed-time stabilization for the considered general class of uncertain nonlinear systems.
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Cites
Nonlinear and adaptive control design
Krstić, M., Kokotović, P. V., & Kanellakopoulos, I. (1995) · Cited by 10,421
Finite-Time Stability of Continuous Autonomous Systems
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Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
Polyakov, A. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2179869 · Cited by 5,207
Global finite-time stabilization of a class of uncertain nonlinear systems
Huang, X., Lin, W., & Yang, B. (2005) · Automatica · doi:10.1016/j.automatica.2004.11.036 · Cited by 1,250
Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time
Song, Y., Wang, Y., Holloway, J., & Krstic, M. (2017) · Automatica · doi:10.1016/j.automatica.2017.06.008 · Cited by 1,235
Self-citationFinite-time and fixed-time stabilization: Implicit Lyapunov function approach
Polyakov, A., Efimov, D., & Perruquetti, W. (2015) · Automatica · doi:10.1016/j.automatica.2014.10.082 · Cited by 972
Haimo, V. T. (1986) · SIAM Journal on Control and Optimization · doi:10.1137/0324047 · Cited by 920
Homogeneous Approximation, Recursive Observer Design, and Output Feedback
Andrieu, V., Praly, L., & Astolfi, A. (2008) · SIAM Journal on Control and Optimization · doi:10.1137/060675861 · Cited by 870
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
Homogeneous approximation, Recursive observer design and Output feedbackPreprint
Andrieu, V., Praly, L., & Astolfi, A. (2007) · Cited by 439
Cited by
Predictor-feedback prescribed-time stabilization of LTI systems with input delay
Espitia, N., & Perruquetti, W. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2021.3093527 · Cited by 63
Predefined-Time Precise Tracking of Uncertain MIMO Nonlinear Systems With Time-Varying Input Delay
Hua, Z., & Xu, S. (2025) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2024.3519784 · Cited by 9
Metadata
- Authors
- Krishnamurthy, P., Khorrami, F., & Krstic, M.
- Venue
- Automatica
- Publisher
- Elsevier BV
- Published
- 2020-05
- Volume
- 115
- Pages
- 108860
- ISSN
- 0005-1098 (ISSN-L)
- OpenAlex
- W3005602745
- Cited by
- 294
- References
- 27
- FWCI
- 15.02
- Type
- journal article
- Language
- en
- Open access
- closed
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