Adaptive Fuzzy Finite-Time Control of Nonlinear Systems With Actuator Faults
Abstract
This paper addresses the trajectory tracking control problem of a class of nonstrict-feedback nonlinear systems with the actuator faults. The functional relationship in the affine form between the nonlinear functions with whole state and error variables is established by using the structure consistency of intermediate control signals and the variable-partition technique. The fuzzy control and adaptive backstepping schemes are applied to construct an improved fault-tolerant controller without requiring the specific knowledge of control gains and actuator faults, including both stuck constant value and loss of effectiveness. The proposed fault-tolerant controller ensures that all signals in the closed-loop system are semiglobally practically finite-time stable and the tracking error remains in a small neighborhood of the origin after a finite period of time. The developed control method is verified through two numerical examples.
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For constants k > 0, b > 0, c > 0, and variables, the stated inequality holds.
“Lemma 3 [39] For constants k > 0, b > 0, c > 0, and variables and ω, one has | | k |ω| b ≤ k k + b c| | k+b + b k + b c -k b |ω| k+b (2.17)”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [39]
The proposed fixed-time controller overcomes the prevailing limitations associated with convergence time dependence on initial states in prior work.
“This work overcomes the prevailing limitations associated with convergence time dependence on initial states in [38,39] by devising a fixed-time controller.”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [39]
Traditional adaptive finite-time control methods depend on initial conditions, which makes the settling time difficult to predict in advance.
“Additionally, a significant limitation of traditional adaptive finite-time control methods is their dependency on initial conditions, which makes it difficult to predict the settling time in advance.”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [39]
Table 1 shows an enhancement in the effectiveness of the proposed fixed-time control scheme compared to the finite-time control strategy discussed in [39].
“The information displayed in Table 1 shows an enhancement in the effectiveness of the proposed fixed-time control scheme compared to the finite-time control strategy discussed in [39].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [39]
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- Authors
- Wang, H., Liu, P. X., Zhao, X., & Liu, X.
- Affiliations
- Bohai University (CN)
- Carleton University (CA)
- Dalian University of Technology (CN)
- Lakehead University (CA)
- Venue
- IEEE Transactions on Cybernetics
- Published
- 2020-05
- Volume
- 50
- Issue
- 5
- Pages
- 1786-1797
- ISSN
- 2168-2267 (ISSN-L)
- 2168-2275
- OpenAlex
- W2944466752
- Cited by
- 345
- References
- 64
- Citations by year
- 2026: 26 · 2025: 35 · 2024: 39 · 2023: 40 · 2022: 45 · 2021: 48 · 2020: 75 · 2019: 37
- FWCI
- 28.39
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Transactions on Cybernetics (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Natural Science Foundation of China (61773072, 61773051, 61761166011)
- Innovative Talents Project of Liaoning Province of China (LR2016040)
- Natural Science Foundation of Liaoning Province of China (20180550691, 20180550590)
- 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 › Engineering › Control and Systems Engineering › Fault Detection and Control Systems
- Keywords
- actuator faults, fault-tolerant control, nonstrict-feedback nonlinear systems, trajectory tracking control, adaptive fuzzy control, adaptive backstepping control, finite-time stability, loss of effectiveness faults
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