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Fuzzy Adaptive Finite-Time Control Design for Nontriangular Stochastic Nonlinear Systems
Abstract
This paper solves the stochastically finite-time control problem for uncertain stochastic nonlinear systems in nontriangular form. The considered controlled plants are different from the previous results of finite-time control systems, which are the multiple-input and multiple-output (MIMO) stochastic systems with the unknown functions consisting of all states, stochastic disturbance, and immeasurable states. Fuzzy logic systems and a state filter are used to model the uncertain systems and estimate the immeasurable states, respectively. Based on the finite-time theory and Itȏ differential equation, a novel stochastically finite-time stability theorem is first raised. By combining the novel criterion and backstepping technique, an adaptive fuzzy stochastically finite-time control method is proposed. It is testified that all signals in the closed-loop signals are semiglobal finite-time stable in probability, and the tracking performances are well. Simulation example results further show the effectiveness of the proposed approach.
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Citations
Cited by
Li, J., Ji, R., Liang, X., Ge, S. S., & Yan, H. (2022) · IEEE Transactions on Instrumentation and Measurement · doi:10.1109/tim.2022.3218574 · Cited by 659
Niu, S., Wang, J., Zhao, J., & Shen, W. (2024) · ISA Transactions · doi:10.1016/j.isatra.2023.10.017 · Cited by 54
Fuzzy adaptive optimal control for nonlinear switched systems with actuator hysteresis
Sui, S., Tong, S., Chen, C. L. P., & Sun, K. (2019) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.2975 · Cited by 23
Self-citationZhang, X., Li, F., Liu, E., Zhang, A., & Qiu, J. (2026) · Asian Journal of Control · doi:10.1002/asjc.70200
Metadata
- Authors
- Sui, S., Chen, C. L. P., & Tong, S.
- Venue
- IEEE Transactions on Fuzzy Systems
- Published
- 2019-01
- Volume
- 27
- Issue
- 1
- Pages
- 172-184
- ISSN
- 1063-6706 (ISSN-L)
- 1941-0034
- OpenAlex
- W2901709760
- Cited by
- 363
- References
- 0
- FWCI
- 25.91
- Type
- journal article
- Language
- en
- Open access
- closed
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