The DOI matches its Crossref record; 38 of the 38 references it cites were found in a registry or an index.
Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems
Abstract
This article investigates an adaptive practical fixed-time control strategy for the output tracking control of a class of strict feedback nonlinear systems. By utilizing a backstepping algorithm, finite-time Lyapunov stable theory, and fuzzy logic control, a novel adaptive practical fixed-time controller is constructed. Fuzzy logic systems are introduced to approximate the unknown items of the system. Theoretical analysis proves that under the presented control strategy, the closed-loop system is practically fixed-time stable, and the tracking error converges to a small neighborhood of the origin within a fixed-time interval, in which the convergence time has no connection with the initial states of the system. In the meantime, all the signals of the closed-loop system are bounded. Finally, a numerical example is presented to indicate the feasibility and effectiveness of the proposed method.
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“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 [41]
Citations
Cites
Finite-Time Stability of Continuous Autonomous Systems
Bhat, S. P., & Bernstein, D. S. (2000) · SIAM Journal on Control and Optimization · doi:10.1137/s0363012997321358 · Cited by 5,532
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 5,248
Fuzzy basis functions, universal approximation, and orthogonal least-squares learning
Wang, L.-X., & Mendel, J. M. (1992) · IEEE Transactions on Neural Networks · doi:10.1109/72.159070 · Cited by 2,804
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
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 and fixed-time stabilization: Implicit Lyapunov function approach
Polyakov, A., Efimov, D. V., & Perruquetti, W. (2014) · Automatica · doi:10.1016/j.automatica.2014.10.082 · Cited by 976
Liu, Y., & Tong, S. (2015) · Automatica · doi:10.1016/j.automatica.2015.10.034 · Cited by 885
Finite-Time Attitude Tracking Control of Spacecraft With Application to Attitude Synchronization
Du, H., Li, S., & Qian, C. (2011) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2159419 · Cited by 763
Jin, X. (2018) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2018.2874877 · Cited by 712
Non‐singular fixed‐time terminal sliding mode control of non‐linear systems
Zuo, Z. (2014) · IET Control Theory and Applications · doi:10.1049/iet-cta.2014.0202 · Cited by 560
Cited by
Sorted by citations
Adaptive Fuzzy Control of Nonlinear Systems With Predefined Time and Accuracy
Wang, Q., Cao, J., & Liu, H. (2022) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2022.3169852 · Cited by 313
“Consequently, it is essential and significant to investigate the control problem of system (6) to get a fascinating control performance, which has been investigated in [45] and [46]; however, only the fixed time stability was considered.”
BackgroundWang, H., Xu, K. W., & Qiu, J. (2021) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2021.3073024 · Cited by 284
“In [48], [49], two practical fixed-time control approaches were presented for nonlinear uncertain systems.”
BackgroundSelf-citationAdaptive Fixed-Time Stabilization for a Class of Uncertain Nonlinear Systems
Meng, Q., Ma, Q., & Shi, Y. (2023) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2023.3244151 · Cited by 195
“…the adaptive backstepping technique, fixed-time control of uncertain nonlinear systems has attracted much attention, such as systems with parameteric uncertainty [15], systems with unknown controldirection[16]and[17],systemscontaininginputsaturation[18], error-constrainedsystems[19],justtonameafew.”
MethodXie, S., Chen, Q., & Yang, Q. (2022) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2022.3223253 · Cited by 166
“Owing to this merit, scholars have applied fixed-time control to various nonlinear systems [12], [13], [14], [15], [16], [17], [18], [19], [20].”
BackgroundAdaptive Fuzzy Fast Finite-Time Dynamic Surface Tracking Control for Nonlinear Systems
Wang, H., Xu, K. W., Liu, P. X., & Qiao, J. (2021) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2021.3098830 · Cited by 160
Self-citation
Metadata
- Authors
- Chen, M., Wang, H., & Liu, X.
- Affiliations
- University of Science and Technology Liaoning (CN)
- Bohai University (CN)
- Lakehead University (CA)
- Venue
- IEEE Transactions on Fuzzy Systems
- Published
- 2021-03
- Volume
- 29
- Issue
- 3
- Pages
- 664-673
- ISSN
- 1063-6706 (ISSN-L)
- 1941-0034
- OpenAlex
- W2995874545
- Cited by
- 405
- References
- 38
- Citations by year
- 2026: 35 · 2025: 77 · 2024: 65 · 2023: 86 · 2022: 65 · 2021: 66
- FWCI
- 19.60
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Fuzzy Systems (publishedVersion)
- Funders
- National Natural Science Foundation of China (61403177, 61773072)
- Natural Science Foundation of Liaoning Province (20180550319)
- Education Department Project of Liaoning Province of China (2019LNJC09)
- Taishan Scholar Project of Shandong Province of China (tsqn201812093)
- 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
- output tracking control, strict-feedback nonlinear systems, adaptive control, fuzzy systems, backstepping control, finite-time Lyapunov stability, signal boundedness
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