The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Adaptive Finite-Time Tracking Control of Nonlinear Systems With Dynamics Uncertainties
Abstract
In this article, the problem of adaptive backstepping finite-time tracking control is investigated for a class of strict-feedback nonlinear systems with unmodeled dynamics and dynamic disturbances. A modified finite-time dynamic signal is first introduced to dominate the dynamic disturbance. By using the adaptive control, backstepping technique, and finite-time stability theory, an adaptive finite-time tracking controller is developed. Under the proposed control scheme, the finite-time tracking performance and the boundedness property of all signals in the closed-loop system are ensured. Finally, simulation results check the effectiveness of the suggested approach.
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“Additionally, a significant limitation of traditional adaptive finite-time control methods is their dependency on initial conditions, which makes it difficult to predict the settling time in advance.”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [38]
In the citing paper
“This work overcomes the prevailing limitations associated with convergence time dependence on initial states in [38,39] by devising a fixed-time controller.”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [38]
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Cited by
Sorted by citations
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Zhang, R., & Wu, Y. (2026) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.70466
“As is well known, adaptive backstepping methods constitute a breakthrough in nonlinear control [13, 14], but the traditional adaptive backstepping methods impose restrictive assumptions requiring either linearly parameterized uncertainties or precisely knownsystemstructures[15].”
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“Unlike existing finite-time methods, 19,20 whose convergence time depends on initial conditions, the proposed approach guarantees a settling time that is uniformly bounded and independent of initial states.”
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Self-citationFinite-Time Prescribed Performance Control for Nonlinear Engineering Systems with Input Saturation
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Finite-time unbiased H-infinity filtering for singular stochastic systems
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Neural Network-Based Fast Finite-Time Control for Electro-Hydraulic Systems
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“In contrast, finite-time control ensures that system states converge to the desired steady-state within a finite time, offering faster convergence, improved robustness, and better disturbance rejection compared to traditional non-finite-time methods [8].”
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“Although finite-time [10] and fixed-time control strategies [11] have been introduced to address this problem, their performance is often influenced by initial conditions or leads to conservative parameter selection.”
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Computationally Efficient Prescribed-Time Control for AUVs via Single-Critic Network
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Hu, H., Meng, B., Wang, Z., Xia, H., & Xia, J. (2026) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2026.3721088
“Finite-time control [10], [11] or fixed-time control [12] often have convergence time bounds that depend on initial conditions or design parameters, making precise predefinition di ffi cult.”
Kahlessenane, A., Soukkou, A., Haddad, S., Soukkou, Y., Rabhi, A., & Benghanem, M. (2026) · International Journal of Modelling and Simulation · doi:10.1080/02286203.2026.2708078
Global Fixed‐Time Exact Tracking for Uncertain High‐Order Nonlinear Systems With Quantized Input
Hua, Z. (2026) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.70728
Hou, Y., He, H., Xu, J., Zhou, J., Yin, W., & Liu, Z. (2026) · International Conference on Intelligent Systems and Robotics (CISR) · doi:10.1109/cisr70722.2026.11680468
“FTC in [11] is However, the performance of active (cid:21) (cid:7) not good due to the adaptive parameters through the piecewise function.”
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Lightweight Topology and Low Suppression Cost Uncertain Design for Large Space Truss
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“Lemma 3 [69]: Let a 1 , a 2 , . . . , a n be arbitrary real numbers and 0 π 1 , then the following inequality holds Lemma 4 [70]: Let Υ and Ψ be any real-valued scalars, and let a > 0 , b > 0 , and N > 0 be positive constants.”
Metadata
- Authors
- Wang, H., Xu, K., & Zhang, H.
- Affiliations
- Bohai University (CN)
- Beijing Jiaotong University (CN)
- State Key Laboratory of Synthetical Automation for Process Industries (CN)
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2023-09
- Volume
- 68
- Issue
- 9
- Pages
- 5737-5744
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- 2334-3303
- OpenAlex
- W4312809224
- Cited by
- 342
- References
- 36
- Citations by year
- 2026: 69 · 2025: 108 · 2024: 111 · 2023: 54
- FWCI
- 27.48
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Transactions on Automatic Control (publishedVersion)
- Funders
- National Natural Science Foundation of China (62173046, 51939001, 61976033)
- National Key R&D Program of China (2018YFA0702200)
- Fundamental Research Funds for the Central Universities (2022JBMC029)
- 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
- finite-time tracking control, adaptive control, backstepping control, strict-feedback nonlinear systems, unmodeled dynamics, dynamic disturbances, finite-time stability, signal boundedness
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