Adaptive Neural Control of Stochastic Nonlinear Time-Delay Systems With Multiple Constraints
Abstract
For a class of stochastic nonlinear time-delay systems with multiple constraints-predefined tracking constraint, input saturation, and output dead zone-the output tracking control problem is addressed in this paper. By expressing the saturated actuator as a smooth nonlinear function and employing the Nussbaum function technique, the input and output constraints problems are solved. The tracking performance is achieved under the predefined tracking constraint by utilizing the backstepping recursive design technique and the approximation property of neural networks. Then, based on the utilization of the Lyapunov-Krasovskii functional, the stochastic stability of the closed-loop system is achieved. Finally, the proposed control method is verified through a simulation example.
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Although many approaches have been developed for systems with state delays, addressing input delays introduces additional complexity.
“Although many approaches have been developed for systems with state delays, addressing input delays introduces additional complexity [24].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [24]
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- Authors
- Wang, T., Qiu, J., & Gao, H.
- Affiliations
- Harbin Institute of Technology (CN)
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics: Systems
- Published
- 2017-08
- Volume
- 47
- Issue
- 8
- Pages
- 1875-1883
- ISSN
- 2168-2216 (ISSN-L)
- 2168-2232
- OpenAlex
- W2405883216
- Cited by
- 170
- References
- 41
- Citations by year
- 2026: 5 · 2025: 12 · 2024: 10 · 2023: 10 · 2022: 12 · 2021: 9 · 2020: 13 · 2019: 19 · 2018: 36 · 2017: 38 · 2016: 6
- FWCI
- 27.75
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Systems Man and Cybernetics Systems (publishedVersion)
- Funders
- National Natural Science Foundation of China (61333012, 61374031, 61522306)
- State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China
- 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 › Computer Science › Computer Networks and Communications › Neural Networks Stability and Synchronization
- Keywords
- adaptive neural network control, nonlinear stochastic systems, time-delay systems, input saturation, Nussbaum function, backstepping control, Lyapunov-Krasovskii functional, stochastic stability, output tracking control
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