State estimation for interval type-2 fuzzy singularly perturbed systems with important-data-based DoS attacks: the dual-scale channels case

Yue Hu; Chaoqun Guo; Oh-Min Kwon; Seung Hoon Lee; Yue Hu; Chaoqun Guo; Oh-Min Kwon; Seung Hoon Lee

doi:10.3934/math.2026936

AIMS Mathematics

2026, Volume 11, Issue 7: 23210-23233. doi: 10.3934/math.2026936

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Research article

State estimation for interval type-2 fuzzy singularly perturbed systems with important-data-based DoS attacks: the dual-scale channels case

1.
Shandong Provincial Key Laboratory of New Power Distribution & Utilization Technology and Equipment, Shandong University of Technology, Zibo 255000, Shandong Province, China
2.
School of Electrical and Electronic Engineering, Shandong University of Technology, 266 Xincun West Road, Zibo 255000, Shandong, China
3.
School of Electrical Engineering, Chungbuk National University, Cheongju 28644, South Korea
4.
Division of Electronics and Electrical Information Engineering, National Korea Maritime and Ocean University, Busan 49112, South Korea

Received: 17 April 2026 Revised: 24 June 2026 Accepted: 17 July 2026 Published: 30 July 2026
MSC : 93C42, 93C65, 93D20

This article was dedicated to constructing an $ H_\infty $ state estimator for networked interval type-2 (IT2) fuzzy singularly perturbed systems (SPSs) subject to denial-of-service (DoS) attacks. The challenges lied in designing an asynchronous DoS attack model for SPSs with two-time-scale characteristics to attack the important data and providing a defense strategy to resist this attack. This work presented three major contributions: (1) An asynchronous important-data-based (IDB) DoS attack model was proposed to attack the critical data information of slow and fast sensors separately. (2) Then, an IT2 fuzzy composite resilient estimator was designed to resist the asynchronous IDB DoS attacks. (3) Finally, sufficient conditions were determined to ensure the error dynamics' asymptotic stability. A DC motor example was provided to highlight the applicability of our method.
- $ H_\infty $ state estimation,
- important-data-based DoS attacks,
- interval type-2 fuzzy approach,
- two-time-scale system
Citation: Yue Hu, Chaoqun Guo, Oh-Min Kwon, Seung Hoon Lee. State estimation for interval type-2 fuzzy singularly perturbed systems with important-data-based DoS attacks: the dual-scale channels case[J]. AIMS Mathematics, 2026, 11(7): 23210-23233. doi: 10.3934/math.2026936

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Abstract

This article was dedicated to constructing an $ H_\infty $ state estimator for networked interval type-2 (IT2) fuzzy singularly perturbed systems (SPSs) subject to denial-of-service (DoS) attacks. The challenges lied in designing an asynchronous DoS attack model for SPSs with two-time-scale characteristics to attack the important data and providing a defense strategy to resist this attack. This work presented three major contributions: (1) An asynchronous important-data-based (IDB) DoS attack model was proposed to attack the critical data information of slow and fast sensors separately. (2) Then, an IT2 fuzzy composite resilient estimator was designed to resist the asynchronous IDB DoS attacks. (3) Finally, sufficient conditions were determined to ensure the error dynamics' asymptotic stability. A DC motor example was provided to highlight the applicability of our method.

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