Decentralized robust set-valued state estimation in networked multiple sensor systems

• Published in: Computers & mathematics with applications (1987) Vol. 59; no. 8; pp. 2636 - 2646
• Main Authors: Cheng, Teddy M., Malyavej, Veerachai, Savkin, Andrey V.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01-04-2010
• Subjects: Decentralized estimation; Networked control systems; Robust control; Sensor fusion; State estimation under uncertainty; Robust control; Sensor fusion; Networked control systems; State estimation under uncertainty; Decentralized estimation
• ISSN: 0898-1221; 1873-7668
• DOI: 10.1016/j.camwa.2010.01.032

This paper addresses a decentralized robust set-valued state estimation problem for a class of uncertain systems via a data-rate constrained sensor network. The uncertainties of the systems satisfy an energy-type constraint known as an integral quadratic constraint. The sensor network consists of spatially distributed sensors and a fusion center where set-valued state estimation is carried out. The communications from the sensors to the fusion center are through data-rate constrained communication channels. We propose a state estimation scheme which involves coders that are implemented in the sensors, and a decoder–estimator that is located at the fusion center. Their construction is based on the robust Kalman filtering techniques. The robust set-valued state estimation results of this paper involve the solution of a jump Riccati differential equation and the solution of a set of jump state equations.