Distributed consensus estimation for diffusion systems with missing measurements over sensor networks

In this paper, the problem of distributed consensus estimation with randomly missing measurements is investigated for a diffusion system over the sensor network. A random variable, the probability of which is known a priori, is used to model the randomly missing phenomena for each sensor. The aim of the addressed estimation problem is to design distributed consensus estimators depending on the neighbouring information such that, for all random measurement missing, the estimation error systems are guaranteed to be globally asymptotically stable in the mean square. By using Lyapunov functional method and the stochastic analysis approach, the sufficient conditions are derived for the convergence of the estimation error systems. Finally, a numerical example is given to demonstrate the effectiveness of the proposed distributed consensus estimator design scheme.

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

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

[3]  Soummya Kar,et al.  Kalman Filtering With Intermittent Observations: Weak Convergence to a Stationary Distribution , 2009, IEEE Transactions on Automatic Control.

[4]  Michael A. Demetriou.  Design of consensus and adaptive consensus filters for distributed parameter systems , 2010, Autom..

[5]  乔花玲,et al.  关于Semigroups of Linear Operators and Applications to Partial Differential Equations的两个注解 , 2003 .

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

[7]  Wang Yaonan,et al.  Generalized unscented Kalman filtering based radial basis function neural network for the prediction of ground radioactivity time series with missing data , 2011 .

[8]  Jinling Liang,et al.  Finite-horizon H∞ filtering for time-varying delay systems with randomly varying nonlinearities and sensor saturations , 2014 .

[9]  Weijiu Liu,et al.  Elementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave Equation , 2009 .

[10]  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.

[11]  Christos G. Cassandras,et al.  Sensor Networks and Cooperative Control , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[12]  Pramod K. Varshney,et al.  Estimation of spatially distributed processes in wireless sensor networks with random packet loss , 2009, IEEE Transactions on Wireless Communications.

[13]  Michael A. Demetriou,et al.  Guidance of Mobile Actuator-Plus-Sensor Networks for Improved Control and Estimation of Distributed Parameter Systems , 2010, IEEE Transactions on Automatic Control.

[14]  Ian F. Akyildiz,et al.  Sensor Networks , 2002, Encyclopedia of GIS.

[15]  Huai-Ning Wu,et al.  Design of finite dimensional robust H ∞  distributed consensus filters for dissipative PDE systems with sensor networks , 2015 .

[16]  YangQuan Chen,et al.  Time–Optimal Path Planning of Moving Sensors for Parameter Estimation of Distributed Systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[17]  Maciej Patan,et al.  Sensor network design for the estimation of spatially distributed processes , 2010, Int. J. Appl. Math. Comput. Sci..

[18]  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.

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

[20]  Huijun Gao,et al.  Distributed Synchronization in Networks of Agent Systems With Nonlinearities and Random Switchings , 2013, IEEE Transactions on Cybernetics.

[21]  Engang Tian,et al.  Reliable control for networked control systems with probabilistic actuator fault and random delays , 2010, J. Frankl. Inst..

[22]  Michael A. Demetriou,et al.  Estimation of Spatially Distributed Processes Using Mobile Spatially Distributed Sensor Network , 2009, SIAM J. Control. Optim..

[23]  Zidong Wang,et al.  H∞ filtering with randomly occurring sensor saturations and missing measurements , 2012, Autom..

[24]  Ju H. Park,et al.  Robust synchronisation of chaotic systems with randomly occurring uncertainties via stochastic sampled-data control , 2013, Int. J. Control.

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

[26]  Michael A. Demetriou.  Adaptive consensus filters for collocated infinite dimensional systems , 2011, IEEE Conference on Decision and Control and European Control Conference.

[27]  Maciej Patan,et al.  D-optimal trajectory design of heterogeneous mobile sensors for parameter estimation of distributed systems , 2008, 2008 American Control Conference.

[28]  Fuwen Yang,et al.  Observer-based networked control for continuous-time systems with random sensor delays , 2009, Autom..

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

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

[31]  Ulrich Eggers,et al.  Introduction To Infinite Dimensional Linear Systems Theory , 2016 .

[32]  Bruno Sinopoli,et al.  Kalman filtering with intermittent observations , 2004, IEEE Transactions on Automatic Control.

[33]  Jie Cao,et al.  State estimation for complex systems with randomly occurring nonlinearities and randomly missing measurements , 2014, Int. J. Syst. Sci..

[34]  Dong Yue,et al.  Stabilization of Systems With Probabilistic Interval Input Delays and Its Applications to Networked Control Systems , 2009, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

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

[36]  Nasser E. Nahi,et al.  Optimal recursive estimation with uncertain observation , 1969, IEEE Trans. Inf. Theory.

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