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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In the citing paper
“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]
Citations
Cites
Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
Polyakov, A. (2011) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2179869 · Cited by 5,309
Systematic design of adaptive controllers for feedback linearizable systems
Kanellakopoulos, I., Kokotović, P. V., & Morse, A. S. (1991) · IEEE Transactions on Automatic Control · doi:10.1109/9.100933 · Cited by 1,962
Continuous finite-time stabilization of the translational and rotational double integrators
Bhat, S. P., & Bernstein, D. S. (1998) · IEEE Transactions on Automatic Control · doi:10.1109/9.668834 · Cited by 1,713
Nonsingular fixed-time consensus tracking for second-order multi-agent networks
Zuo, Z. (2015) · Automatica · doi:10.1016/j.automatica.2015.01.021 · Cited by 1,155
Qian, C., & Lin, W. T. (2001) · Systems & Control Letters · doi:10.1016/s0167-6911(00)00089-x · Cited by 1,013
Attitude stabilization of rigid spacecraft with finite‐time convergence
Zhu, Z. H., Xia, Y., & Fu, M. (2010) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.1624 · Cited by 1,007
Finite-time command filtered backstepping control for a class of nonlinear systems
Yu, J., Shi, P. J., & Zhao, L. H. (2018) · Automatica · doi:10.1016/j.automatica.2018.03.033 · Cited by 881
Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form
Zhang, T. P., & Ge, S. S. (2008) · Automatica · doi:10.1016/j.automatica.2007.11.025 · Cited by 754
Design of Robust Adaptive Controllers for Nonlinear Systems with Dynamic Uncertainties
Jiang, Z., & Praly, L. (1998) · Automatica · doi:10.1016/s0005-1098(98)00018-1 · Cited by 734
Jin, X. (2018) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2018.2874877 · Cited by 712
Cited by
Sorted by citations
Xu, K. W., Wang, H., & Liu, P. X. (2023) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2023.3337792 · Cited by 93
“Unfortunately, the finite-time control theorem depends on the initial value [25], [26], which limits its application in real industry to a certain extent.”
BackgroundSelf-citationLi, Y., Dong, S., & Li, K. (2023) · IEEE Transactions on Intelligent Vehicles · doi:10.1109/tiv.2023.3304064 · Cited by 92
“Secondly, although the consideredfinite-timeorpredefined-timecontrolmethodin[22], [23],[24],[25],[26]canenablefastertrackingofformation completion,Itrequirestocomeatthecostofconsuminghigher energy.”
Robust Adaptive Control for a Quadrotor UAV With Uncertain Aerodynamic Parameters
Wang, J., Zhu, B., & Zheng, Z. (2023) · IEEE Transactions on Aerospace and Electronic Systems · doi:10.1109/taes.2023.3303133 · Cited by 83
“Some other works inspire us to solve the problem in different ways in the future [36], [37], [38], [39], [40].”
BackgroundDing, F., Zhu, K., Liu, J., Peng, C., Wang, Y., & Lu, J. (2024) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2024.3454344 · Cited by 81
“Furthermore, it should be observed that a Lyapunov asymptotic stable (LAS) system may not be FTS when system states go beyond a prescribed bound [53].”
Wang, J., Liu, J., Li, Y., Chen, C. L. P., Liu, Z., & Li, F. (2023) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2023.3291716 · Cited by 68
“To achieve signals of strict-feedback nonlinear systems synchronizing in finite time, an adaptive backstepping finite-time tracking control method was constructed in [34].”
BackgroundMethod
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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