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Adaptive Dynamic Surface Control for Stabilization of Parametric Strict-Feedback Nonlinear Systems With Unknown Time Delays
Abstract
The robust stabilization method via the dynamic surface control (DSC) is proposed for uncertain nonlinear systems with unknown time delays in parametric strict-feedback form. That is, the DSC technique is extended to state time delay nonlinear systems with linear parametric uncertainties. The proposed control system can overcome not only the problem of ldquoexplosion of complexityrdquo inherent in the backstepping design method but also the uncertainties of the unknown time delays by choosing appropriate Lyapunov-Krasovskii functionals. In addition, we prove that all the signals in the closed-loop system are semiglobally uniformly bounded. Finally, an example is provided to illustrate the effectiveness of the proposed control system.
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Citations
Cited by
Tong, S.-C., Li, Y.-M., Feng, G., & Li, T.-S. (2011) · IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) · doi:10.1109/tsmcb.2011.2108283 · Cited by 498
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
Tong, S. C., Li, Y. M., & Zhang, H.-G. (2011) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2011.2146274 · Cited by 317
Adaptive Controller Design-Based ABLF for a Class of Nonlinear Time-Varying State Constraint Systems
Liu, Y.-J., Lu, S., Li, D., & Tong, S. (2017) · IEEE Transactions on Systems, Man, and Cybernetics: Systems · doi:10.1109/tsmc.2016.2633007 · Cited by 284
Adaptive Neural Control of MIMO Nonstrict-Feedback Nonlinear Systems With Time Delay
Zhao, X., Yang, H., Karimi, H. R., & Zhu, Y. (2016) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2015.2441292 · Cited by 130
Metadata
- Authors
- Yoo, S. J., Park, J. B., & Choi, Y. H.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2007-12
- Volume
- 52
- Issue
- 12
- Pages
- 2360-2365
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2055480668
- Cited by
- 297
- References
- 0
- FWCI
- 11.32
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Adaptive Dynamic Surface Control for Stabilization of Parametric Strict-Feedback Nonlinear Systems With Unknown Time Delays. https://app.cochat.ai/papers/10.1109/tac.2007.910715
- The paper
- Yoo, S. J., Park, J. B., & Choi, Y. H. (2007). Adaptive Dynamic Surface Control for Stabilization of Parametric Strict-Feedback Nonlinear Systems With Unknown Time Delays. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2007.910715
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.