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Observer-Based Adaptive Fuzzy Backstepping Dynamic Surface Control for a Class of MIMO Nonlinear Systems
Abstract
In this paper, an adaptive fuzzy backstepping dynamic surface control (DSC) approach is developed for a class of multiple-input-multiple-output nonlinear systems with immeasurable states. Using fuzzy-logic systems to approximate the unknown nonlinear functions, a fuzzy state observer is designed to estimate the immeasurable states. By combining adaptive-backstepping technique and DSC technique, an adaptive fuzzy output-feedback backstepping-control approach is developed. The proposed control method not only overcomes the problem of "explosion of complexity" inherent in the backstepping-design methods but also overcomes the problem of unavailable state measurements. It is proved that all the signals of the closed-loop adaptive-control system are semiglobally uniformly ultimately bounded, and the tracking errors converge to a small neighborhood of the origin. Simulation results are provided to show the effectiveness of the proposed approach.
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Citations
Cited by
Tong, S., Sui, S., & Li, Y. (2015) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2014.2327987 · Cited by 554
Self-citationYu, J., Shi, P., Dong, W., & Yu, H. (2015) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2015.2418317 · Cited by 428
Wang, H., Liu, K., Liu, X., Chen, B., & Lin, C. (2015) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2014.2363073 · Cited by 324
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
Bai, L., Zhou, Q., Wang, L., Yu, Z., & Li, H. (2017) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.2780 · Cited by 59
Metadata
- Authors
- Tong, S.-C., Li, Y.-M., Feng, G., & Li, T.-S.
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics)
- Published
- 2011-08
- Volume
- 41
- Issue
- 4
- Pages
- 1124-1135
- ISSN
- 1083-4419 (ISSN-L)
- 1941-0492
- OpenAlex
- W2132300288
- Cited by
- 498
- References
- 0
- FWCI
- 30.64
- Type
- journal article
- Language
- en
- Open access
- closed
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- Tong, S.-C., Li, Y.-M., Feng, G., & Li, T.-S. (2011). Observer-Based Adaptive Fuzzy Backstepping Dynamic Surface Control for a Class of MIMO Nonlinear Systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics). https://doi.org/10.1109/tsmcb.2011.2108283
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