Recent advances on distributed filtering for stochastic systems over sensor networks

Sensor networks comprising of tiny, power-constrained nodes with sensing, computation, and wireless communication capabilities are gaining popularity due to their potential application in a wide variety of environments like monitoring of environmental attributes and various military and civilian applications. Considering the limited power and communication resources of the sensor nodes, the strategy of the distributed information processing is widely exploited. Therefore, it would be interesting to examine how the topology, network-induced phenomena, and power constraints influence the distributed filtering performance and to obtain some suitable schemes in order to solve the addressed distributed filter design problem. In this paper, we aim to survey some recent advances on the distributed filtering and distributed state estimation problems over the sensor networks with various performance requirements and/or randomly occurring network-induced phenomena. First, some practical filter structures are addressed in detail. Then, the developments of the distributed Kalman filtering, distributed state estimation based on the stability or mean-square error analysis, and distributed filtering are systematically reviewed. In addition, latest results on the distributed filtering or state estimation over sensor networks are discussed in great detail and some challenges are highlighted. Finally, some concluding remarks are given and some possible future research directions are pointed out.

[1]  Zidong Wang,et al.  Distributed State Estimation for Discrete-Time Sensor Networks With Randomly Varying Nonlinearities and Missing Measurements , 2011, IEEE Transactions on Neural Networks.

[2]  Reza Olfati-Saber,et al.  Coupled Distributed Estimation and Control for Mobile Sensor Networks , 2012, IEEE Transactions on Automatic Control.

[3]  Moongu Jeon,et al.  Robust Distributed Kalman Filter for Wireless Sensor Networks with Uncertain Communication Channels , 2012 .

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

[5]  Stergios I. Roumeliotis,et al.  SOI-KF: Distributed Kalman Filtering With Low-Cost Communications Using The Sign Of Innovations , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

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

[7]  Ghassan Al-Regib,et al.  Rate-Constrained Distributed Estimation in Wireless Sensor Networks , 2006, IEEE Transactions on Signal Processing.

[8]  James Lam,et al.  Robust distributed state estimation for sensor networks with multiple stochastic communication delays , 2011, Int. J. Syst. Sci..

[9]  Weihua Sheng,et al.  Distributed Sensor Fusion for Scalar Field Mapping Using Mobile Sensor Networks , 2013, IEEE Transactions on Cybernetics.

[10]  Donghua Zhou,et al.  Robust H ∞ filtering for networked systems with multiple state delays , 2007, Int. J. Control.

[11]  Karlene A. Hoo,et al.  Stability analysis for closed-loop management of a reservoir based on identification of reduced-order nonlinear model , 2013 .

[12]  Ling Shi,et al.  Event-Based Sensor Data Scheduling: Trade-Off Between Communication Rate and Estimation Quality , 2013, IEEE Transactions on Automatic Control.

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

[14]  Guanghui Wen,et al.  Guaranteed cost tracking for uncertain coupled multi-agent systems using consensus over a directed graph , 2013, 2013 Australian Control Conference.

[15]  Guoliang Wei,et al.  H∞ filtering for uncertain time‐varying systems with multiple randomly occurred nonlinearities and successive packet dropouts , 2011 .

[16]  Jorge Cortés,et al.  Distributed Kriged Kalman Filter for Spatial Estimation , 2009, IEEE Transactions on Automatic Control.

[17]  Zidong Wang,et al.  Distributed H∞ state estimation with stochastic parameters and nonlinearities through sensor networks: The finite-horizon case , 2012, Autom..

[18]  Magdy A. Bayoumi,et al.  Low-Power Distributed Kalman Filter for Wireless Sensor Networks , 2011, EURASIP J. Embed. Syst..

[19]  Lutz H.-J. Lampe,et al.  Energy Efficient Distributed Filtering With Wireless Sensor Networks , 2008, IEEE Transactions on Signal Processing.

[20]  M. Benrejeb,et al.  New delay-dependent stability conditions for linear systems with delay , 2011, 2011 International Conference on Communications, Computing and Control Applications (CCCA).

[21]  Jun Hu,et al.  Dissipative control for state-saturated discrete time-varying systems with randomly occurring nonlinearities and missing measurements , 2013, Int. J. Control.

[22]  Gang Feng,et al.  Multi-rate distributed fusion estimation for sensor networks with packet losses , 2012, Autom..

[23]  S. R. Desai,et al.  A new approach to order reduction using stability equation and big bang big crunch optimization , 2013 .

[24]  Giorgio Battistelli,et al.  Data-driven communication for state estimation with sensor networks , 2012, Autom..

[25]  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.

[26]  Zidong Wang,et al.  Distributed state estimation in sensor networks with randomly occurring nonlinearities subject to time delays , 2012, ACM Trans. Sens. Networks.

[27]  Ming Dong,et al.  On distributed fault-tolerant detection in wireless sensor networks , 2006, IEEE Transactions on Computers.

[28]  Huijun Gao,et al.  Finite-Horizon $H_{\infty} $ Filtering With Missing Measurements and Quantization Effects , 2013, IEEE Transactions on Automatic Control.

[29]  Soummya Kar,et al.  Distributed Consensus Algorithms in Sensor Networks: Quantized Data and Random Link Failures , 2007, IEEE Transactions on Signal Processing.

[30]  Fuwen Yang,et al.  Decentralized robust Kalman filtering for uncertain stochastic systems over heterogeneous sensor networks , 2008, Signal Process..

[31]  Valery Ugrinovskii,et al.  Distributed H ∞ consensus-based estimation of uncertain systems via dissipativity theory , 2011 .

[32]  Emanuele Garone,et al.  Stochastic Sensor Scheduling for Energy Constrained Estimation in Multi-Hop Wireless Sensor Networks , 2011, IEEE Transactions on Automatic Control.

[33]  WangZidong,et al.  Distributed H∞ state estimation with stochastic parameters and nonlinearities through sensor networks , 2012 .

[34]  Maryam Kamgarpour,et al.  Convergence properties of a decentralized Kalman filter , 2008, 2008 47th IEEE Conference on Decision and Control.

[35]  Davide Brunelli,et al.  Wireless Sensor Networks , 2012, Lecture Notes in Computer Science.

[36]  V A Ugrinovskii,et al.  Distributed robust filtering with H∞ consensus of estimates , 2010, Proceedings of the 2010 American Control Conference.

[37]  M. Darouach,et al.  Admissibility and control of switched discrete-time singular systems , 2013 .

[38]  Henry Medeiros,et al.  Distributed Object Tracking Using a Cluster-Based Kalman Filter in Wireless Camera Networks , 2008, IEEE Journal of Selected Topics in Signal Processing.

[39]  Bruno Sinopoli,et al.  Sensor selection strategies for state estimation in energy constrained wireless sensor networks , 2011, Autom..

[40]  Fuwen Yang,et al.  Distributed average filtering for sensor networks with sensor saturation , 2013 .

[41]  Dongbing Gu,et al.  A Game Theory Approach to Target Tracking in Sensor Networks , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[42]  Lihua Xie,et al.  Kalman Filtering With Scheduled Measurements , 2013, IEEE Transactions on Signal Processing.

[43]  Zidong Wang,et al.  Distributed state estimation for uncertain Markov‐type sensor networks with mode‐dependent distributed delays , 2012 .

[44]  Jie Xu,et al.  Optimal Distributed Kalman Filtering Fusion Algorithm Without Invertibility of Estimation Error and Sensor Noise Covariances , 2012, IEEE Signal Processing Letters.

[45]  Klaus-Dieter Thoben,et al.  Integration of supply networks for customization with modularity in cloud and make-to-upgrade strategy , 2013 .

[46]  Wei Dong,et al.  Distributed H∞ Filtering with Consensus Strategies in Sensor Networks: Considering Consensus Tracking Error , 2012 .

[47]  Yingting Luo,et al.  Globally Optimal Distributed Kalman Fusion With Local Out-of-Sequence-Measurement Updates , 2009, IEEE Transactions on Automatic Control.

[48]  Alak Roy,et al.  Performance Evaluation of Synchronous Energy Efficient MAC Protocols for Wireless Sensor Networks , 2012 .

[49]  Bo Shen,et al.  Sampled-Data Approach to Distributed H ∞ Filtering in Sensor Networks , 2013 .

[50]  V. Saligrama,et al.  Reliable Distributed Estimation with Intermittent Communications , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[51]  Daniel W. C. Ho,et al.  Variance-Constrained ${\cal H}_{\infty}$ Filtering for a Class of Nonlinear Time-Varying Systems With Multiple Missing Measurements: The Finite-Horizon Case , 2010, IEEE Transactions on Signal Processing.

[52]  Dan Zhang,et al.  Distributed set-valued estimation in sensor networks with limited communication data rate , 2013, J. Frankl. Inst..

[53]  Yeung Sam Hung,et al.  Distributed $H_{\infty}$ Filtering for Polynomial Nonlinear Stochastic Systems in Sensor Networks , 2011, IEEE Transactions on Industrial Electronics.

[54]  José M. F. Moura,et al.  Distributing the Kalman Filter for Large-Scale Systems , 2007, IEEE Transactions on Signal Processing.

[55]  Xi Chen,et al.  Design of a randomly distributed sensor network for target detection , 2007, Autom..

[56]  Wei Wang,et al.  Distributed H∞ filtering in sensor networks with randomly occurred missing measurements and communication link failures , 2013, Inf. Sci..

[57]  Ligang Wu,et al.  Sensor Networks With Random Link Failures: Distributed Filtering for T–S Fuzzy Systems , 2013, IEEE Transactions on Industrial Informatics.

[58]  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.

[59]  Saman K. Halgamuge,et al.  Energy Efficient Sensor Scheduling with a Mobile Sink Node for the Target Tracking Application , 2009, Sensors.

[60]  Jun Hu,et al.  Extended Kalman filtering with stochastic nonlinearities and multiple missing measurements , 2012, Autom..

[61]  Dan Zhang,et al.  Distributed H ∞ filtering for sensor networks with switching topology , 2013, Int. J. Syst. Sci..

[62]  Karl Henrik Johansson,et al.  Event-based broadcasting for multi-agent average consensus , 2013, Autom..

[63]  Jun Hu,et al.  Probability-guaranteed H∞ finite-horizon filtering for a class of nonlinear time-varying systems with sensor saturations , 2012, Syst. Control. Lett..

[64]  Cesare Alippi,et al.  An Adaptive System for Optimal Solar Energy Harvesting in Wireless Sensor Network Nodes , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[65]  Xiaoming Hu,et al.  Nonlinear filtering in target tracking using cooperative mobile sensors , 2010, Autom..

[66]  Donghua Wang,et al.  Globally Optimal Multisensor Distributed Random Parameter Matrices Kalman Filtering Fusion with Applications , 2008, Sensors.

[67]  Zidong Wang,et al.  Quantized $H_{\infty }$ Control for Nonlinear Stochastic Time-Delay Systems With Missing Measurements , 2012, IEEE Transactions on Automatic Control.

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

[69]  Ali H. Sayed,et al.  Diffusion Strategies for Distributed Kalman Filtering and Smoothing , 2010, IEEE Transactions on Automatic Control.

[70]  Qi Cheng,et al.  Distributed Fault Detection with Correlated Decision Fusion , 2009, IEEE Transactions on Aerospace and Electronic Systems.

[71]  Daniel W. C. Ho,et al.  Partial-Information-Based Distributed Filtering in Two-Targets Tracking Sensor Networks , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[72]  H. Kuga,et al.  Unscented Kalman Filter Applied to the Spacecraft Attitude Estimation with Euler Angles , 2012 .

[73]  Char-Dir Chung,et al.  Distributed Estimation in a Wireless Sensor Network Using Hybrid MAC , 2011, IEEE Transactions on Vehicular Technology.

[74]  David W. Casbeer,et al.  Distributed information filtering using consensus filters , 2009, 2009 American Control Conference.

[75]  Jun Hu,et al.  Quantised recursive filtering for a class of nonlinear systems with multiplicative noises and missing measurements , 2013, Int. J. Control.

[76]  Carlo Fischione,et al.  Distributed fault detection using sensor networks and Pareto estimation , 2013, 2013 European Control Conference (ECC).

[77]  Soummya Kar,et al.  Distributed Kalman Filtering : Weak Consensus Under Weak Detectability , 2011 .

[78]  Huijun Gao,et al.  Distributed H∞ Filtering for a Class of Markovian Jump Nonlinear Time-Delay Systems Over Lossy Sensor Networks , 2013, IEEE Transactions on Industrial Electronics.

[79]  Zhang Yi,et al.  Distributed fault detection in industrial system based on sensor wireless network , 2009, Comput. Stand. Interfaces.

[80]  Ruggero Carli,et al.  Distributed Kalman filtering based on consensus strategies , 2008, IEEE Journal on Selected Areas in Communications.

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

[82]  Hongli Dong,et al.  Distributed filtering in sensor networks with randomly occurring saturations and successive packet dropouts , 2014 .

[83]  Tongwen Chen,et al.  Linear time-varying H2-optimal control of sampled-data systems , 1991, Autom..