Adaptive fixed-time stabilization for a class of nonlinear uncertain systems
Open accessAbstract
Finite-time stability (FTS) has attained great interest in nonlinear control systems in recent two decades. Fixed-time stability (FxTS) is an improved version of FTS in consideration of its settling time independent of the initial values. In this article, the adaptive fixed-time stabilization issue is studied for a kind of nonlinear systems with nonlinear parametric uncertainties and uncertain control coefficients. Using the adaptive estimate and the adding one power integrator (AOPI) design tool, we propose a two-phase control strategy, which makes that the system states tend to the origin in fixed-time, and other signals are bounded on $ [0, +\infty) $. We prove the main results by means of the recently developed fixed-time Lyapunov stability theory. Finally, we apply the proposed adaptive fixed-time stabilizing control strategy into the pendulum system, and the simulation results verify the efficacy of the presented method.
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Fixed-time control methods offer a viable approach to address the issue of swift convergence without relying on knowledge of the initial states.
“The advent of fixed-time control methods offers a viable approach to address the issue of swift convergence without relying on knowledge of the initial states [41][42][43].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [43]
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- Authors
- Zhao, Y., Yao, J., Tian, J., & Yu, J.
- Affiliations
- Shandong Jianzhu University (CN)
- Corresponding author
- Yu, Jiangbo
- Venue
- Mathematical Biosciences and Engineering
- Published
- 2023
- Volume
- 20
- Issue
- 5
- Pages
- 8241-8260
- ISSN
- 1547-1063 (ISSN-L)
- 1551-0018
- OpenAlex
- W4322587984
- Cited by
- 9
- References
- 46
- Citations by year
- 2025: 2 · 2024: 7
- FWCI
- 0.97
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- cc-by-nc-sa
- Locations
- Mathematical Biosciences & Engineering (publishedVersion, cc-by-nc-sa)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- National Natural Science Foundation of China (61803229)
- Natural Science Foundation of Shandong Province (ZR2021MF009)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Keywords
- fixed-time stabilization, fixed-time stability, uncertain nonlinear systems, adaptive control, pendulum system
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