Event-Triggered Fuzzy Adaptive Fixed-Time Tracking Control for Nonlinear Systems
Abstract
In this article, the problem of event-based adaptive fuzzy fixed-time tracking control for a class of uncertain nonlinear systems with unknown virtual control coefficients (UVCCs) is considered. The unknown nonlinear functions of the considered systems are approximated by fuzzy-logic systems (FLSs). Moreover, a novel Lyapunov function is designed to remove the requirement of lower bounds of the UVCC in control laws. In addition, an event-triggered control method is developed by using the backstepping technique to save the network resources. Through theoretical analysis, the event-based fixed-time controller was proposed, which can guarantee that all signals of the controlled system are bounded and the tracking error can converge to a small neighborhood of the origin in a fixed time. Meanwhile, the convergence time is independent of the initial states. Two numerical examples are presented to demonstrate the effectiveness of the proposed approach.
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Under the stated inequality condition, the equilibrium point of the system is practically fixed-time stable with a settling-time bound.
“Under this condition, the equilibrium point of system (2.13), i.e., ζ = 0, is practically fixed-time stable.The settling time T is given by T ≤ T max := 1 ρψ(τ -1) + 1 σ ψ(1 -ω) .”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [53]
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- Authors
- Hu, X., Li, Y.-X., & Hou, Z.
- Affiliations
- Qingdao University (CN)
- Venue
- IEEE Transactions on Cybernetics
- Published
- 2022-07
- Volume
- 52
- Issue
- 7
- Pages
- 7206-7217
- ISSN
- 2168-2267 (ISSN-L)
- 2168-2275
- OpenAlex
- W3113268523
- Cited by
- 101
- References
- 36
- Citations by year
- 2026: 23 · 2025: 18 · 2024: 21 · 2023: 21 · 2022: 15 · 2021: 3
- FWCI
- 4.82
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Transactions on Cybernetics (publishedVersion)
- PubMed (publishedVersion)
- Funders
- Funds of National Science of China (61973146, 61833001)
- Distinguished Young Scientific Research Talents Plan in Liaoning Province (XLYC1907077, JQL201915402)
- Taishan Scholar Project of Shandong Province of China (tsqn201909097)
- 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
- event-triggered control, fixed-time tracking control, adaptive fuzzy control, uncertain nonlinear systems, unknown virtual control coefficients, fuzzy systems, Lyapunov function design, backstepping control, network resource saving
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