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

Authors:
Teddy M. Cheng;Veerachai Malyavej;Andrey V. Savkin
Affiliations:
School of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney, NSW 2052, Australia;Faculty of Engineering, Mahanakorn University of Technology, Bangkok, Thailand;School of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney, NSW 2052, Australia
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

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.