Adaptive Fixed-Time Fuzzy Control of Uncertain Nonlinear Quantized Systems
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Fixed-time control methods offer a viable approach to address the issue of swift convergence without relying on knowledge of the initial states.
“The advent of fixed-time control methods offers a viable approach to address the issue of swift convergence without relying on knowledge of the initial states [41][42][43].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [42]
For any given (ν_1, ν_2) in R^2 with α > 1, β > 1, and (α-1)(β-1) = 1, the stated Young-type inequality holds.
“Lemma 4 [42] For any given (ν 1 , ν 2 ) ∈ R 2 , where α > 1, β > 1, > 0, and (α-1)(β-1) = 1, we have ν 1 ν 2 ≤ α α |ν 1 | α + 1 β β |ν 2 | β . (2.18)”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [42]
For γ_i in R and 0 < p ≤ 1, the stated power-sum inequality holds.
“Lemma 2 [42] For γ i ∈ R, i = 1, . . ., m, where 0 < p ≤ 1, one has m i=1 |γ i | p ≤ m i=1 |γ i | p ≤ m 1-p m i=1 |γ i | p (2.16)”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [42]
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“Thus, the fixed-time control method as the development of finite-time control approach with the aim to estimate the settling time regardless of the initial conditions has been developed for uncertain nonlinear systems [4, 20, 21, 32].”
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“In [26], the adaptive fixed-time quantized control issue is addressed.”
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“The settling time T is given by Lemma 2 [42] For Lemma 3 [39] For constants k > 0 , b > 0 , c > 0 , and variables (cid:15) and ω , one has Lemma 4 [42]Foranygiven (2.18) Assumption 1 [39] The desired trajectory y r is a continuously differentiable signal up to the n th order, and every derivative…”
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“After that, the fuzzy systems have been employed in a broad range of scientific fields such as medicine [11, 12], management [13, 14] and business [15, 16], while their most noteworthy applications have been focused on the control engineering field [17–19].”
Li, P., Liu, C., & Xu, G. (2025) · Advances in Space Research · doi:10.1016/j.asr.2025.06.038
- Authors
- Ren, P., Wang, F., & Zhu, R.
- Affiliations
- Shandong University of Science and Technology (CN)
- Xi’an Jiaotong-Liverpool University (CN)
- Corresponding author
- Wang, Fang
- Venue
- International Journal of Fuzzy Systems
- Published
- 2021-02-05
- Volume
- 23
- Issue
- 3
- Pages
- 794-803
- ISSN
- 1562-2479 (ISSN-L)
- 2199-3211
- OpenAlex
- W3127100652
- Cited by
- 15
- References
- 50
- Citations by year
- 2025: 2 · 2024: 6 · 2023: 3 · 2022: 4
- FWCI
- 1.45
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Fuzzy Systems (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Keywords
- fixed-time control, adaptive control, fuzzy systems, uncertain nonlinear systems, unknown nonlinearities, tracking control, settling time, closed-loop stability
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