Security-Guaranteed Fuzzy Networked State Estimation for 2-D Systems With Multiple Sensor Arrays Subject to Deception Attacks
Yuqiang Luo, Zidong Wang, Jun Feng Hu, Hongli Dong, Dong Yue · IEEE Transactions on Fuzzy Systems · 2023
In this article, 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$s$th 2-D fuzzy estimator is formulated and, subsequently, theglobally asymptotical stabilityof 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$(\varrho _{1},\varrho _{2},\varrho _{3},\rho _{s})$-securityof the local error dynamics. Furthermore, the estimation fusion problem of the local fuzzy estimators is discussed and the corresponding$(\varrho _{1},\varrho _{2},\varrho _{3},\rho _{s})$-securityis also guaranteed. Finally, an illustrative example is provided to demonstrate the rationality and the effectiveness of the proposed state estimation algorithm.