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