Fusion Filtering for Networked Stochastic Systems with Deception Attacks, Correlated Noises and Quantization Error

In this paper, the state fusion estimation problem for a set of networked stochastic uncertain systems subjected to network attacks and quantization error is concerned. The multiplicative noises in the state equation and the observation equations are correlated at the same instant. The additive noises are correlated simultaneously. The quantized measurements may encounter random deception attacks during the transmission process between sensors and estimators. To obtain the available measurement data, the centralized and distributed <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\chi^{2}$</tex> detectors are employed in different fusion framework to distinguish whether the system is attacked. Based on the detection results, an improved two-segment centralized fusion filter is proposed. Furthermore, a distributed weighted fusion filter with good reliability is addressed. The simulation example verifies the effectiveness of the proposed results.