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Lookup NU author(s): Professor Vladimir TerzijaORCiD
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© 2004-2012 IEEE.This article explores the fuzzy adaptive event-triggered tracking control problem for positive interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy systems with uncertainties. Despite the increasing attention to this field, achieving rigorous state positivity analysis and reducing tracking errors within the positive event-triggered tracking control framework remain major bottlenecks. Firstly, a fuzzy adaptive event-triggered mechanism (FAETM) is proposed, with a dual-triggered architecture based on fuzzy-rule-dependent and membership-function-dependent (MFD) conditions to facilitate dynamic adjustments of the triggering parameters according to the system dynamics and IT2 membership function (MF) characteristics. Secondly, a state-boundary-constrained matrix decomposition method and positive diagonal parameter constraints are proposed to overcome non-convexity challenges, thereby achieving the positivity guarantee for the closed-loop system. Subsequently, an IT2 asynchronous MFD (IT2-AMFD) method is developed, where dual-boundary slack matrices are constructed to leverage the asynchronous IT2-MF boundary information, which derives relaxed stability and tracking conditions, thereby enhancing the tracking performance. Finally, the effectiveness of the proposed control strategy is illustrated through numerical simulations and a practical tunnel diode circuit example.Note to Practitioners - Numerous application scenarios in nature and engineering fields that involve non-negative variables, including biological systems, electronic circuit design, and chemical process control, can be effectively modeled using positive fuzzy systems. Existing event-triggered (ET) control strategies for positive fuzzy systems predominantly employ a uniform ET condition for all fuzzy rules, which leads to the inability to fully leverage the processing advantages of fuzzy logic and increases the risks of system instability and operational costs. Furthermore, the tracking control problem, a classic topic in control theory and engineering, poses a challenge when it necessitates the simultaneous consideration of positivity constraints, tracking performance, and resource efficiency. Therefore, this study focuses on the state positivity preservation and tracking control for positive fuzzy systems. An FAETM associated with the fuzzy rules and MFs is proposed, which significantly optimizes the utilization rate of communication bandwidth. Furthermore, an IT2-AMFD method is developed to obtain relaxed stability conditions, thereby enhancing system tracking performance while maintaining a feasible triggering rate (TR).
Author(s): Wang X, Li X, Bao Z, Ma K, Terzija V
Publication type: Article
Publication status: Published
Journal: IEEE Transactions on Automation Science and Engineering
Year: 2026
Volume: 23
Pages: 13154-13166
Online publication date: 17/07/2026
Acceptance date: 14/07/2026
ISSN (print): 1545-5955
ISSN (electronic): 1558-3783
Publisher: Institute of Electrical and Electronics Engineers Inc.
URL: https://doi.org/10.1109/TASE.2026.3714232
DOI: 10.1109/TASE.2026.3714232
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