Distributed event-triggered H∞ consensus filtering in sensor networks

This paper investigates the issue of distributed H ∞ consensus filtering in mobile sensor networks where the transmission of each sensor is triggered by an event. For each node, the event triggering mechanism is given by an event-based data processor (EDP), which determines whether to transmit the sampled-data or not. The event-based filter at each node is built on the sampled data of this sensor and those received from its neighbors. The distributed event-triggered H ∞ consensus filtering problem is solved by transforming it into the H ∞ stability problem of an error system with an interval time-varying delay. The solution to the latter problem is derived by introducing a new event-based bounded real lemma (EBRL) using Lyapunov-Krasovskii approach. A unified co-design algorithm for the filter gains and the threshold parameters in the event conditions are finally given. The effectiveness of the algorithm is illustrated by a numerical example. HighlightsA novel distributed event-triggered filtering framework for sensor network is established.An event-based bounded real lemma (EBRL) is derived by using Lyapunov-Krasovskii method.A co-design algorithm is given to obtain the filter gains and the threshold parameters in the event conditions simultaneously.

[1]  Biao Huang,et al.  Sampled-data filtering with error covariance assignment , 2001, IEEE Trans. Signal Process..

[2]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[3]  Xiaofeng Wang,et al.  Event-Triggering in Distributed Networked Control Systems , 2011, IEEE Transactions on Automatic Control.

[4]  P. Shi Filtering on sampled-data systems with parametric uncertainty , 1998, IEEE Trans. Autom. Control..

[5]  John S. Baras,et al.  Consensus-based linear distributed filtering , 2012, Autom..

[6]  Q. Han,et al.  Novel delay‐derivative‐dependent stability criteria using new bounding techniques , 2013 .

[7]  Reza Olfati-Saber,et al.  Distributed Kalman filtering for sensor networks , 2007, 2007 46th IEEE Conference on Decision and Control.

[8]  Huijun Gao,et al.  Distributed Filtering for a Class of Time-Varying Systems Over Sensor Networks With Quantization Errors and Successive Packet Dropouts , 2012, IEEE Transactions on Signal Processing.

[9]  Dong Yue,et al.  Event-based H∞ filtering for networked system with communication delay , 2012, Signal Process..

[10]  Emilia Fridman,et al.  A refined input delay approach to sampled-data control , 2010, Autom..

[11]  Jia You,et al.  H∞ filtering for sampled-data stochastic systems with limited capacity channel , 2011, Signal Process..

[12]  Zidong Wang,et al.  A Stochastic Sampled-Data Approach to Distributed $H_{\infty }$ Filtering in Sensor Networks , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[13]  Valery A. Ugrinovskii,et al.  Distributed robust estimation over randomly switching networks using H∞ consensus , 2015, Autom..

[14]  Valery A. Ugrinovskii,et al.  Distributed robust filtering with Hinfinity consensus of estimates , 2011, Autom..

[15]  Wenwu Yu,et al.  Distributed Consensus Filtering in Sensor Networks , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[16]  Guo-Ping Liu,et al.  Predictive Output Feedback Control for Networked Control Systems , 2014, IEEE Transactions on Industrial Electronics.

[17]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[18]  M. Lemmon,et al.  Event-triggered state estimation in vector linear processes , 2010, Proceedings of the 2010 American Control Conference.

[19]  R. Olfati-Saber,et al.  Distributed Kalman Filter with Embedded Consensus Filters , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[20]  Xian Zhang,et al.  DELAY-RANGE-DEPENDENT ROBUST H1 FILTERING FOR SINGULAR LPV SYSTEMS WITH TIME VARIANT DELAY , 2013 .

[21]  Qing-Long Han,et al.  On designing event-based H;∞ filters for sampled-data systems , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[22]  Guo-Ping Liu,et al.  Filtering for Discrete-Time Networked Nonlinear Systems With Mixed Random Delays and Packet Dropouts , 2011, IEEE Transactions on Automatic Control.

[23]  Yeung Sam Hung,et al.  Distributed H∞-consensus filtering in sensor networks with multiple missing measurements: The finite-horizon case , 2010, Autom..

[24]  Dong Yue,et al.  A Delay System Method for Designing Event-Triggered Controllers of Networked Control Systems , 2013, IEEE Transactions on Automatic Control.