Cited by 151Adaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsNeural Networks Stability and Synchronization

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Adaptive Intelligent Control of Nonaffine Nonlinear Time-Delay Systems With Dynamic Uncertainties

Wang, Huanqing, Sun, Wanjing, Liu, Peter Xiaoping·2017·IEEE Transactions on Systems, Man, and Cybernetics: Systems

DOI 10.1109/tsmc.2016.2627048

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Abstract

Adaptive neural intelligent control is investigated for a class of pure-feedback nonlinear time-delay systems with unmodeled dynamics in nonlower-triangular form, which views the lower-triangular structure as a special structure. A variable partition technique is applied to surmount the difficulty in the nonlinear functions of whole state variables. By utilizing the backstepping recursive design approach and the universal approximation capability of neural networks, an adaptive neural controller is systemically designed. Then, based on the utilization of Lyapunov-Krasovskii functionals, the semiglobally uniform boundedness of all closed-loop signals is guaranteed. Finally, the suggested control method is verified through a numerical example. The main advantage of this paper is that an intelligent control method is developed for pure-feedback nonlinear systems with state time delay, unmodeled dynamics and nonlower triangular form. Further developments will focus on how to deal with the problem of output feedback control of pure-feedback nonlinear time-delay systems with unmodeled dynamics and nonlower-triangular structure.

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Authors: Wang, H., Sun, W., & Liu, P. X.
Affiliations: Carleton University (CA)
Bohai University (CN)
ORCID: Wang, Huanqing
Liu, Peter Xiaoping
Venue: IEEE Transactions on Systems, Man, and Cybernetics: Systems
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Published: 2017-07
Volume: 47
Issue: 7
Pages: 1474-1485
ISSN: 2168-2216 (ISSN-L)
2168-2232
DOI: 10.1109/tsmc.2016.2627048
OpenAlex: W2558651951
Cited by: 151
References: 63
Citations by year: 2026: 4 · 2025: 10 · 2024: 4 · 2023: 7 · 2022: 14 · 2021: 7 · 2020: 13 · 2019: 20 · 2018: 33 · 2017: 38
FWCI: 25.80
Type: journal article
Language: en
Open access: closed
Licence: ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html (vor)
Locations: IEEE Transactions on Systems Man and Cybernetics Systems (publishedVersion)
Funders: National Natural Science Foundation of China (61304002, 61175072, 61473160)
Natural Science Foundation of Liaoning Province of China (2015020058)
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 › Engineering › Control and Systems Engineering › Neural Networks Stability and Synchronization
Keywords: adaptive neural network control, pure-feedback nonlinear systems, time-delay systems, unmodeled dynamics, backstepping control, Lyapunov-Krasovskii functional, state delay

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Adaptive Intelligent Control of Nonaffine Nonlinear Time-Delay Systems With Dynamic Uncertainties

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