Kalman Filtering Over Lossy Networks Under Switching Sensors. Issue 1 (10th September 2014)

• Record Type: Journal Article
• Authors: You, Keyou; Sui, Tianju; Fu, Minyue; Pang (Justin), Chee Khiang
• Is Part Of: Asian journal of control. Volume 17:Issue 1(2015:Jan.)
• Page Start: 45
• Page End: 54
• Publication Date: 2014-09-10
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.975
• Languages: English
• ISSNs: 1561-8625

Abstract

<abstract abstract-type="main" id="asjc975-abs-0001"> <title>Abstract</title> <p id="asjc975-para-0004">In this paper, we study the mean square stability of Kalman filtering of a discrete‐time stochastic system under two periodically switching sensors. The sensor measurements are sent to a remote estimator over a lossy channel whose packet loss process is independent and identically distributed. We prove that the problem can be converted into the stability analysis of Kalman filtering using two sensors at each time, and the measurements of each sensor are transmitted to the estimator via an independent lossy channel of the same packet loss rate. Some necessary and/or sufficient conditions for stability of the estimation error covariance matrices are derived. Moreover, the effect of the sensor switching on the filter stability is revealed. Their implications and relationships with related results in the literature are discussed.</p> </abstract>