Cited by 145Stability and Control of Uncertain SystemsStability and Controllability of Differential EquationsSmart Grid Security and Resilience

Hybrid‐driven‐based fuzzy secure filtering for nonlinear parabolic partial differential equation systems with cyber attacks

Zhang, Zhen, Song, Xiaona, Sun, Xiangliang, Stojanovic, Vladimir·2023·International Journal of Adaptive Control and Signal Processing

Abstract

Summary: The problem of hybrid‐driven fuzzy filtering for nonlinear semi‐linear parabolic partial differential equation systems with dual cyber attacks is investigated. First, a Takagi‐Sugeno (T‐S) fuzzy model is employed to reconstruct the original nonlinear systems. Second, a hybrid‐driven mechanism is applied for filter design to balance the systems' performance and the limited network resource consumption under dual cyber attacks composed of deception and denial of service attacks. Based on the Lyapunov direct method, sufficient conditions to guarantee the stability of the augmented system are obtained, and the parameters of the designed filter are earned with explicit form. Finally, a simulation example with robust analysis and comparative analysis is provided to illustrate the effectiveness of the proposed method.

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Crossref · 10.1002/acs.3529

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57 of 57 references verified0 citation errors · 0 not checkable

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Authors
Zhang, Z., Song, X., Sun, X., & Stojanovic, V.
Affiliations
  • Henan University of Science and Technology (CN)
  • Department of Automatic Control, Robotics and Fluid Technique, Faculty of Mechanical and Civil Engineering University of Kragujevac Kraljevo Serbia
Corresponding author
Song, Xiaona
Venue
International Journal of Adaptive Control and Signal Processing
Publisher
Wiley
Published
2022-11-24
Volume
37
Issue
2
Pages
380-398
ISSN
  • 0890-6327 (ISSN-L)
  • 1099-1115
OpenAlex
W4310082948
Cited by
145
References
57
Citations by year
2026: 6 · 2025: 13 · 2024: 83 · 2023: 43
FWCI
13.99
Type
journal article
Language
en
Open access
closed
Locations
International Journal of Adaptive Control and Signal Processing (publishedVersion)
Funders
National Natural Science Foundation of China (61976081)
Topics
  • Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
  • Physical Sciences › Engineering › Control and Systems Engineering › Stability and Controllability of Differential Equations
  • Physical Sciences › Engineering › Control and Systems Engineering › Smart Grid Security and Resilience
Keywords
Takagi-Sugeno fuzzy model, nonlinear parabolic equations, deception attacks, denial-of-service attacks, networked control systems, filter design, stability conditions

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