Distributed H ∞ filtering over sensor networks with heterogeneous Markovian coupling intercommunication delays
Open Access
- 1 January 2015
- journal article
- research article
- Published by Institution of Engineering and Technology (IET) in IET Control Theory & Applications
- Vol. 9 (1) , 82-90
Abstract
This study is concerned with distributed H ∞ filtering for continuous‐time linear systems over sensor networks with heterogeneous Markovian coupling intercommunication delays. The set of sensor nodes forms a sensing and communication network whose topology is modelled by a directed graph that describes the measurement exchanged among neighbouring sensor nodes. Heterogeneous random coupling delays modelled by a Markov process are considered in the intercommunication between interacting sensor nodes. A refined two‐step decoupling technique is presented to deal with the complicated coupling of exchanged measurement in the presence of the delays. A sufficient condition on the existence of desired distributed H ∞ filters is derived such that the resultant filtering error system is mean square exponentially stable with prescribed weighting average H ∞ performance. Two illustrative examples are given to show the effectiveness of the proposed results.Keywords
This publication has 24 references indexed in Scilit:
- Distributed consensus filtering for jump Markov linear systemsIET Control Theory & Applications, 2013
- Distributed Kalman filtering: a bibliographic reviewIET Control Theory & Applications, 2013
- Distributed robust estimation over randomly switching networks using consensusAutomatica, 2013
- Distributed consensus-based estimation considering network induced delays and dropoutsAutomatica, 2012
- Distributed Filtering for a Class of Time-Varying Systems Over Sensor Networks With Quantization Errors and Successive Packet DropoutsIEEE Transactions on Signal Processing, 2012
- Coupled Distributed Estimation and Control for Mobile Sensor NetworksIEEE Transactions on Automatic Control, 2012
- Distributed H ∞ consensus-based estimation of uncertain systems via dissipativity theoryIET Control Theory & Applications, 2011
- A Stochastic Sampled-Data Approach to Distributed $H_{\infty }$ Filtering in Sensor NetworksIEEE Transactions on Circuits and Systems I: Regular Papers, 2011
- Robust distributed state estimation for sensor networks with multiple stochastic communication delaysInternational Journal of Systems Science, 2011
- Robust filtering for a class of uncertain linear systems with time-varying delayAutomatica, 2008