Optimal Sequential Fusion Estimation for the Multi-rate 2-D Systems with Fading Channels

• Published in: Chinese Automation Congress (Online) pp. 7219 - 7225
• Main Authors: Su, Meng, Han, Chunyan
• Format: Conference Proceeding
• Language: English
• Published: IEEE 06.11.2020
• Subjects: Computational modeling; Distributed databases; Electrical engineering; fading channel; Fading channels; multi-rate; Random variables; Sequential fusion estimation; State estimation; Two dimensional displays; two-dimensional systems
• ISSN: 2688-0938
• DOI: 10.1109/CAC51589.2020.9326780

This paper investigates the optimal state fusion estimation problem for a class of multi-rate two-dimensional stochastic linear systems with packet dropouts. The systems are formulated by the famous F-M local state-space model, and the phenomenon of fading channels is characterized by a diagonal matrix, in which each component of the diagonal matrix is an independent random variable subject to a certain probability distribution. The purpose of the paper is to develop a two-step recursive filter. Under the two-dimensional circumstance, first and foremost, the multi-rate multi-sensor system is transmitted as a single-rate multi-sensor system by using the lifting technology. Subsequently, determine a local recursive optimal filter so that the estimated error for each moment is minimal, where the filter gains are obtained by the completing squares method. Then a distributed filter is designed by applying the sequential fusion algorithm, which has higher accuracy and reliability. Finally, the rationality of the distributed filter is illustrated by a numerical example.