Stability conditions for multi-sensor state estimation over a lossy network. (March 2015)

• Record Type: Journal Article
• Authors: Sui, Tianju; You, Keyou; Fu, Minyue
• Is Part Of: Automatica. Volume 53(2015)
• Page Start: 1
• Page End: 9
• Publication Date: 2015-03
• Subjects: Networked state estimation -- Distributed sensing -- Packet loss -- Minimum mean square error -- Kalman filtering; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2014.12.022
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper studies a networked state estimation problem for a spatially large linear system with a distributed array of sensors, each of which offers partial state measurements. A lossy communication network is used to transmit the sensor measurements to a central estimator where the minimum mean square error (MMSE) state estimate is computed. Under a Markovian packet loss model, we provide necessary and sufficient conditions for the stability of the estimator for any diagonalizable system in the sense that the mean of the state estimation error covariance matrix is uniformly bounded. In particular, the stability conditions for the second-order systems with an i.i.d. packet loss model are explicitly expressed as simple inequalities in terms of the largest open-loop pole and the packet loss rate.