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Adaptive NN Backstepping Output-Feedback Control for Stochastic Nonlinear Strict-Feedback Systems With Time-Varying Delays
Abstract
For the first time, this paper addresses the problem of adaptive output-feedback control for a class of uncertain stochastic nonlinear strict-feedback systems with time-varying delays using neural networks (NNs). The circle criterion is applied to designing a nonlinear observer, and no linear growth condition is imposed on nonlinear functions depending on system states. Under the assumption that time-varying delays exist in the system output, only an NN is employed to compensate for all unknown nonlinear terms depending on the delayed output, and thus, the proposed control algorithm is more simple even than the existing NN backstepping control schemes for uncertain systems described by ordinary differential equations. Three examples are given to demonstrate the effectiveness of the control scheme proposed in this paper.
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Citations
Cited by
Adaptive Fuzzy Finite-Time Control of Nonlinear Systems With Actuator Faults
Wang, H., Liu, P. X., Zhao, X., & Liu, X. (2020) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2019.2902868 · Cited by 345
Li, T., Li, Z., Wang, D., & Chen, C. L. P. (2015) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2014.2334638 · Cited by 256
Metadata
- Authors
- Chen, W., Jiao, L., Li, J., & Li, R.
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics)
- Published
- 2010-06
- Volume
- 40
- Issue
- 3
- Pages
- 939-950
- ISSN
- 1083-4419 (ISSN-L)
- OpenAlex
- W2166778519
- Cited by
- 430
- References
- 0
- FWCI
- 28.42
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Adaptive NN Backstepping Output-Feedback Control for Stochastic Nonlinear Strict-Feedback Systems With Time-Varying Delays. https://app.cochat.ai/papers/10.1109/tsmcb.2009.2033808
- The paper
- Chen, W., Jiao, L., Li, J., & Li, R. (2010). Adaptive NN Backstepping Output-Feedback Control for Stochastic Nonlinear Strict-Feedback Systems With Time-Varying Delays. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics). https://doi.org/10.1109/tsmcb.2009.2033808
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