Security-Guaranteed Fuzzy Networked State Estimation for 2-D Systems with Multiple Sensor Arrays Subject to Deception Attacks

• Published in: IEEE transactions on fuzzy systems Vol. 31; no. 10; pp. 1 - 16
• Main Authors: Luo, Yuqiang, Wang, Zidong, Hu, Jun, Dong, Hongli, Yue, Dong
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.10.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Cyberattack; deception attacks; Dynamic stability; Error analysis; estimation fusion; Fuzzy systems; multiple sensor arrays; Nonlinear systems; Random variables; Security; Sensor arrays; Spatial data; Stability analysis; State estimation; Takagi-Sugeno fuzzy model; Takagi-Sugeno model; Two dimensional displays; Two-dimensional systems
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2023.3262609

In this paper, the security-guaranteed fuzzy networked state estimation issue is investigated for a class of two-dimensional (2-D) systems with norm-bounded disturbances. Considering the structural specificity of the 2-D systems, the membership function in the Takagi-Sugeno fuzzy model is established to reflect the spatial information. Multiple sensor arrays are utilized to improve the observation diversity and overcome the measurement obstacle induced by geographical restrictions. The network-based deception attacks, occurring in a probabilistic fashion, are characterized by a set of Bernoulli distributed random variables. By resorting to the 2-D fuzzy blending and augmentation operations, the error dynamics of the <inline-formula><tex-math notation="LaTeX">s</tex-math></inline-formula>th 2-D fuzzy estimator is formulated and, subsequently, the globally asymptotical stability of the local error dynamics is studied in virtue of Lyapunov stability theory, fuzzy theory, and stochastic analysis technique. Then, sufficient conditions are derived to ensure the so-called <inline-formula><tex-math notation="LaTeX">(\varrho _{1},\varrho _{2},\varrho _{3},\rho _{s})</tex-math></inline-formula>-security of the local error dynamics. Furthermore, the estimation fusion problem of the local fuzzy estimators is discussed and the corresponding <inline-formula><tex-math notation="LaTeX">(\varrho _{1},\varrho _{2},\varrho _{3},\rho _{s})</tex-math></inline-formula>-security is also guaranteed. Finally, an illustrative example is provided to demonstrate the rationality and the effectiveness of the proposed state estimation algorithm.