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Adaptive neural network control of nonlinear systems with unknown time delays
Abstract
In this note, adaptive neural control is presented for a class of strict-feedback nonlinear systems with unknown time delays. Using appropriate Lyapunov-Krasovskii functionals, the uncertainties of unknown time delays are compensated for such that iterative backstepping design can be carried out. In addition, controller singularity problems are solved by using the integral Lyapunov function and employing practical robust neural network control. The feasibility of neural network approximation of unknown system functions is guaranteed over practical compact sets. It is proved that the proposed systematic backstepping design method is able to guarantee semiglobally uniformly ultimate boundedness of all the signals in the closed-loop system and the tracking error is proven to converge to a small neighborhood of the origin.
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Cites
Multilayer feedforward networks are universal approximators
Hornik, K., Stinchcombe, M., & White, H. (1989) · Neural Networks · doi:10.1016/0893-6080(89)90020-8 · Cited by 21,728
Cited by
Neural Networks-Based Adaptive Control for Nonlinear State Constrained Systems With Input Delay
Li, D.-P., Liu, Y.-J., Tong, S., Chen, C. L. P., & Li, D.-J. (2019) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2018.2799683 · Cited by 382
Zhu, J., & Li, S. (2024) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2024.01.034 · Cited by 11
Zhu, J., & Li, S. (2025) · Asian Journal of Control · doi:10.1002/asjc.3411 · Cited by 1
Sampling-Horizon Neural Operator Predictors for Nonlinear Control Under Delayed Inputs
Bhan, L., Quawas, P., Krstic, M., & Shi, Y. (2026) · IEEE Control Systems Letters · doi:10.1109/lcsys.2026.3698435
Metadata
- Authors
- Ge, S. S., Hong, F., & Lee, T. H.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2003-11
- Volume
- 48
- Issue
- 11
- Pages
- 2004-2010
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W1990157314
- Cited by
- 348
- References
- 1
- FWCI
- 15.83
- Type
- journal article
- Language
- en
- Open access
- closed
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