AccScience Publishing / IJOCTA / Volume 16 / Issue 2 / DOI: 10.36922/IJOCTA025500226
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RESEARCH ARTICLE

Finite-time boundedness synthesis for Bouc–Wen hysteresis dynamic systems using non-fragile event-triggered Takagi–Sugeno fuzzy control

Arumugam Arunkumar1 ,  Jenq-Lang Wu2 ,  Wen-Jer Chang1* ,  Yann-Horng Lin1
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1 Department of Marine Engineering, National Taiwan Ocean University, Keelung, Taiwan, China
2 Department of Electrical Engineering, National Taiwan Ocean University, Keelung, Taiwan, China
IJOCTA 2026, 16(2), 752 https://doi.org/10.36922/IJOCTA025500226
Received: 8 December 2025 | Revised: 22 January 2026 | Accepted: 29 January 2026 | Published online: 2 April 2026
© 2026 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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Abstract

This paper investigates the finite-time (FT) control problem for Takagi-Sugeno (T-S) fuzzy Bouc-Wen (B-W) hysteresis systems under a fuzzy event-triggered (ET) non-fragile control framework. A novel T–S fuzzy hysteresis state estimator is developed to estimate the virtual hysteresis state, enabling accurate compensation of hysteresis effects in networked control environments. To reduce communication burden while preserving closed-loop performance, a fuzzy ET mechanism is incorporated into the control architecture, allowing adaptive transmission based on system dynamics. In contrast to existing hysteresis control methods, the proposed scheme integrates a newly developed T–S fuzzy hysteresis model, an ET mechanism, and a non-fragile control design within a unified FT framework. The main objective is to guarantee FT boundedness (FTB) of the closed-loop T–S fuzzy B–W hysteresis system while simultaneously achieving prescribed FT mixed H∞ and passivity performance indices. By employing the Lyapunov–Krasovskii functional methodology, a set of novel sufficient conditions is derived in terms of linear matrix inequalities, ensuring FTB and the desired performance criteria. The effectiveness and feasibility of the proposed control strategy are validated through three numerical examples.

Graphical abstract
Keywords
Bouc–Wen hysteresis behavior
Event-triggered mechanism
Finite-time boundedness
Non-fragile controller
Fuzzy system
Funding
This study is supported by the Ministry of Science and Technology of the Republic of China under grants: NSTC 110-2221-E-019-073-MY2, NSTC 110-2811-E-019-505-MY2, NSTC 114-2221-E-019-067 and NSTC 114-2811-E-019-004.
Conflict of interest
The authors declare that they have no conflict of interest regarding the publication of this article.
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An International Journal of Optimization and Control: Theories & Applications, Electronic ISSN: 2146-5703 Print ISSN: 2146-0957, Published by AccScience Publishing
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