Stability analysis of decentralized overlapping estimation scheme with Markovian packet dropouts

Author

Murtadha, Muhammad A S ; Bettayeb, Maamar

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Sharjah, Sharjah, United Arab Emirates

fYear

2009

fDate

14-17 Dec. 2009

Firstpage

372

Lastpage

377

Abstract

We study the stability of an overlapping decentralized estimation scheme in the presence of packet dropouts. Several estimation agents receive local measurement of a discrete-time system over packet-dropping links, and each one constructs its estimate based on the measurements and on the communication with other agents which is also vulnerable to failure. The fusion of estimates at each agent is done based on a consensus strategy. We model packet dropouts in each link as a two-state Markov chain with known probabilities. Necessary and sufficient conditions for the mean-square stability of the estimator are provided in the form of linear matrix inequalities (LMIs) based on theory of Markovian jump linear systems. Also, we provide another set of sufficient conditions of the mean stability and error covariance boundedness for Markovian and arbitrary packet dropouts.

Keywords

Markov processes; control system synthesis; discrete time systems; linear matrix inequalities; sensor fusion; stability; telecommunication control; telecommunication network routing; wireless sensor networks; Markovian jump linear system; Markovian packet dropouts; decentralized overlapping estimation scheme; discrete-time system; estimation agents; linear matrix inequality; mean square stability; packet dropping links; stability analysis; Communication networks; Delay estimation; Large-scale systems; Linear matrix inequalities; Linear systems; Robustness; Spread spectrum communication; Stability analysis; State estimation; Sufficient conditions; Markovian jump systems; Markovian packet dropouts; consensus-based decentralized estimation; mean-square stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing and Information Technology (ISSPIT), 2009 IEEE International Symposium on

Conference_Location

Ajman

Print_ISBN

978-1-4244-5949-0

Type

conf

DOI

10.1109/ISSPIT.2009.5407519

Filename

5407519