The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
Adaptive Fuzzy Control of Nonlinear Systems With Predefined Time and Accuracy
Abstract
In this article, an adaptive fuzzy predefined time and accuracy tracking control scheme is proposed for strict-feedback nonlinear systems. A sufficient condition that can be used to determine whether the tracking error converges to a predefined region within a predefined time is first derived based on the definition of predefined time stability. Under the proposed stability criterion, an adaptive fuzzy controller is developed by applying the backstepping technique, and the stability time and convergence accuracy of the tracking error can be set previously, which facilitates the engineering application with requirements for convergence time and accuracy. Especially, to reduce chattering and decrease energy consumptions on the premise of ensuring the stability of the system, an inequality is introduced to construct a continuous term which can replace the sign function. Finally, a practical example is presented to illustrate the feasibility of main results.
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Cites
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
An Overview of Recent Advances in Fixed-Time Cooperative Control of Multiagent Systems
Zuo, Z., Han, Q.-L., Ning, B., Ge, X., & Zhang, X.-M. (2018) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2018.2817248 · Cited by 658
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
Tong, S., Min, X., & Li, Y. (2020) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2020.2977175 · Cited by 512
Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems
Chen, M., Wang, H., & Liu, X. (2021) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2019.2959972 · Cited by 405 · cited 2×
“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, J., Yang, C., Xia, J., Wu, Z., & Shen, H. (2021) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2021.3070125 · Cited by 367
Fuzzy Adaptive Finite-Time Fault-Tolerant Control for Strict-Feedback Nonlinear Systems
Sun, K., Liu, L., Qiu, J., & Feng, G. (2021) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2020.2965890 · Cited by 357
Predefined-time stability of dynamical systems with sliding modes
Sanchez-Torres, J. D., Sanchez, E. N., & Loukianov, A. G. (2015) · 2015 American Control Conference (ACC) · doi:10.1109/acc.2015.7172255 · Cited by 333
Optimized Backstepping for Tracking Control of Strict-Feedback Systems
Wen, G., Ge, S. S., & Tu, F. (2018) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2018.2803726 · Cited by 332
Finite-Time Consensus of Second-Order Switched Nonlinear Multi-Agent Systems
Zou, W., Shi, P. J., Xiang, Z., et al. (2019) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2019.2920880 · Cited by 321
Metadata
- Authors
- Wang, Q., Cao, J., & Liu, H.
- Venue
- IEEE Transactions on Fuzzy Systems
- Published
- 2022-12
- Volume
- 30
- Issue
- 12
- Pages
- 5152-5165
- ISSN
- 1063-6706 (ISSN-L)
- 1941-0034
- OpenAlex
- W4226103724
- Cited by
- 304
- References
- 35
- FWCI
- 20.61
- Type
- journal article
- Language
- en
- Open access
- closed
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