Distributed Consensus Filtering in Sensor Networks

In this paper, a new filtering problem for sensor networks is investigated. A new type of distributed consensus filters is designed, where each sensor can communicate with the neighboring sensors, and filtering can be performed in a distributed way. In the pinning control approach, only a small fraction of sensors need to measure the target information, with which the whole network can be controlled. Furthermore, pinning observers are designed in the case that the sensor can only observe partial target information. Simulation results are given to verify the designed distributed consensus filters.

[1]  T. Carroll,et al.  MASTER STABILITY FUNCTIONS FOR SYNCHRONIZED COUPLED SYSTEMS , 1999 .

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

[3]  Zidong Wang,et al.  Global Synchronization Control of General Delayed Discrete-Time Networks With Stochastic Coupling and Disturbances , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[4]  Jinde Cao,et al.  Robust Adaptive Control of Unknown Modified Cohen–Grossberg Neural Networks With Delays , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[5]  Guanrong Chen,et al.  A time-varying complex dynamical network model and its controlled synchronization criteria , 2005, IEEE Transactions on Automatic Control.

[6]  Wenwu Yu,et al.  On pinning synchronization of complex dynamical networks , 2009, Autom..

[7]  Jinde Cao,et al.  An LMI approach to global asymptotic stability of the delayed Cohen-Grossberg neural network via nonsmooth analysis , 2007, Neural Networks.

[8]  Daniel W. C. Ho,et al.  Robust H∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements , 2009, Autom..

[9]  Milos S. Stankovic,et al.  Consensus based overlapping decentralized estimation with missing observations and communication faults , 2009, Autom..

[10]  U. Shaked,et al.  Difference LMI'S for robust H∞ control and filtering , 2001, 2001 European Control Conference (ECC).

[11]  Tianping Chen,et al.  Pinning Complex Networks by a Single Controller , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[12]  Zidong Wang,et al.  Synchronization and State Estimation for Discrete-Time Complex Networks With Distributed Delays , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[13]  Jinde Cao,et al.  Parameter identification of dynamical systems from time series. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  M. Small,et al.  Pinning synchronization of delayed neural networks. , 2008, Chaos.

[15]  Paul Erdös,et al.  On random graphs, I , 1959 .

[16]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[17]  Stergios I. Roumeliotis,et al.  Anytime Optimal Distributed Kalman Filtering and Smoothing , 2007, 2007 IEEE/SP 14th Workshop on Statistical Signal Processing.

[18]  Jinde Cao,et al.  Global Synchronization of Linearly Hybrid Coupled Networks with Time-Varying Delay , 2008, SIAM J. Appl. Dyn. Syst..

[19]  Xiao Fan Wang,et al.  Synchronization in scale-free dynamical networks: robustness and fragility , 2001, cond-mat/0105014.

[20]  Guanrong Chen,et al.  Global Synchronization of Coupled Delayed Neural Networks and Applications to Chaotic CNN Models , 2004, Int. J. Bifurc. Chaos.

[21]  L. Chua.  The Genesis of Chua's circuit , 1992 .

[22]  Zeev Schuss,et al.  Theory and Applications of Stochastic Differential Equations , 1980 .

[23]  Ji Xiang,et al.  On the V-stability of complex dynamical networks , 2007, Autom..

[24]  Jinde Cao,et al.  Synchronization control of stochastic delayed neural networks , 2007 .

[25]  Bernie Mulgrew,et al.  IEEE Workshop on Statistical Signal Processing , 2005 .

[26]  L. Chua,et al.  Synchronization in an array of linearly coupled dynamical systems , 1995 .

[27]  Isaac Yaesh,et al.  H-Control and Estimation of State-multiplicative Linear Systems , 2005 .

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

[29]  Xiao Fan Wang,et al.  Synchronization in Small-World Dynamical Networks , 2002, Int. J. Bifurc. Chaos.

[30]  Fuwen Yang,et al.  Robust Kalman filtering for discrete time-varying uncertain systems with multiplicative noises , 2002, IEEE Trans. Autom. Control..

[31]  Jinde Cao,et al.  Local Synchronization of a Complex Network Model , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[32]  Jinde Cao,et al.  Global Synchronization in an Array of Delayed Neural Networks With Hybrid Coupling , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[33]  Guanrong Chen,et al.  Pinning control of scale-free dynamical networks , 2002 .

[34]  Tianping Chen,et al.  Synchronization of coupled connected neural networks with delays , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[35]  Junan Lu,et al.  Adaptive synchronization of an uncertain complex dynamical network , 2006, IEEE Transactions on Automatic Control.

[36]  Lin Huang,et al.  Stability analysis and decentralized control of a class of complex dynamical networks , 2008, Autom..

[37]  Fuwen Yang,et al.  Robust H/sub /spl infin// filtering for stochastic time-delay systems with missing measurements , 2006, IEEE Transactions on Signal Processing.

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

[39]  Yiguang Hong,et al.  Distributed Observers Design for Leader-Following Control of Multi-Agent Networks (Extended Version) , 2017, 1801.00258.

[40]  Olfati-Saber.  [IEEE 2007 46th IEEE Conference on Decision and Control - New Orleans, LA, USA (2007.12.12-2007.12.14)] 2007 46th IEEE Conference on Decision and Control - Distributed Kalman filtering for sensor networks , 2007 .

[41]  Jinde Cao,et al.  A new complex network model and convergence dynamics for reputation computation in virtual organizations , 2006 .

[42]  Cishen Zhang,et al.  H2 and mixed H2/Hinfinity control of two-dimensional systems in Roesser model , 2006, Autom..

[43]  Fuwen Yang,et al.  Robust finite-horizon filtering for stochastic systems with missing measurements , 2005, IEEE Signal Processing Letters.

[44]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[45]  Ali H. Sayed,et al.  Diffusion strategies for distributed Kalman filtering: formulation and performance analysis , 2008 .

[46]  Carlo Fischione,et al.  A distributed minimum variance estimator for sensor networks , 2008, IEEE Journal on Selected Areas in Communications.

[47]  Guanrong Chen,et al.  A time-varying complex dynamical network model and its controlled synchronization criteria , 2004, IEEE Trans. Autom. Control..

[48]  R. Olfati-Saber,et al.  Consensus Filters for Sensor Networks and Distributed Sensor Fusion , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.