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Stable adaptive neural control scheme for nonlinear systems
Abstract
Based on the Lyapunov synthesis approach, several adaptive neural control schemes have been developed during the last few years. So far, these schemes have been applied only to simple classes of nonlinear systems. This paper develops a design methodology that expands the class of nonlinear systems that adaptive neural control schemes can be applied to and relaxes some of the restrictive assumptions that are usually made. One such assumption is the requirement of a known bound on the network reconstruction error. The overall adaptive scheme is shown to guarantee semiglobal uniform ultimate boundedness. The proposed feedback control law is a smooth function of the state.
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Research works printed but not linked: 18
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Cited by
Adaptive Neural Control of Uncertain MIMO Nonlinear Systems
Ge, S. S., & Wang, C. (2004) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2004.826130 · Cited by 971
Song, X., Sun, P., Song, S., & Stojanovic, V. (2023) · Neural Computing and Applications · doi:10.1007/s00521-023-08361-y · Cited by 119
A Survey of Deep Learning Applications to Autonomous Vehicle Control
Kuutti, S., Bowden, R., Jin, Y., Barber, P., & Fallah, S. (2021) · IEEE Transactions on Intelligent Transportation Systems · doi:10.1109/tits.2019.2962338 · Cited by 96
Jiao, J., Li, J., Chen, J., & Zhang, R. (2026) · Asian Journal of Control · doi:10.1002/asjc.3705 · Cited by 2
Bhan, L., Krstic, M., & Shi, Y. (2025) · arXiv · doi:10.48550/arxiv.2509.26443 · Cited by 4
“This is similar to the results of robust adaptive control [19,20]- although significantly more challenging to the adaptive parameter being the delay on the actuator.”
Metadata
- Authors
- Polycarpou, M. M.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1996-03
- Volume
- 41
- Issue
- 3
- Pages
- 447-451
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2051671655
- Cited by
- 1,547
- References
- 0
- FWCI
- 29.62
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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