Particle Filtering for Nonlinear/Non-Gaussian Systems With Energy Harvesting Sensors Subject to Randomly Occurring Sensor Saturations

In this paper, the particle filtering problem is investigated for a class of nonlinear/non-Gaussian systems with energy harvesting sensors subject to randomly occurring sensor saturations (ROSSs). The random occurrences of the sensor saturations are characterized by a series of Bernoulli distributed stochastic variables with known probability distributions. The energy harvesting sensor transmits its measurement output to the remote filter only when the current energy level is sufficient, where the transmission probability of the measurement is recursively calculated by using the probability distribution of the sensor energy level. The effects of the ROSSs and the possible measurement losses induced by insufficient energies are fully considered in the design of filtering scheme, and an explicit expression of the likelihood function is derived. Finally, the numerical simulation examples (including a benchmark example for nonlinear filtering and the applications in moving target tracking problem) are provided to demonstrate the feasibility and effectiveness of the proposed particle filtering algorithm.

[1]  Yonggang Chen,et al.  L2-L∞ filtering for stochastic delayed systems with randomly occurring nonlinearities and sensor saturation , 2020, Int. J. Syst. Sci..

[2]  Edward I. George,et al.  Bayes and big data: the consensus Monte Carlo algorithm , 2016, Big Data and Information Theory.

[3]  Daniel E. Quevedo,et al.  Transmission scheduling for remote state estimation and control with an energy harvesting sensor , 2018, Autom..

[4]  Yonggang Zhang,et al.  Particle filter with one-step randomly delayed measurements and unknown latency probability , 2016, Int. J. Syst. Sci..

[5]  Fuad E. Alsaadi,et al.  H ∞ filtering for multi‐rate multi‐sensor systems with randomly occurring sensor saturations under the p ‐persistent CSMA protocol , 2020, IET Control Theory & Applications.

[6]  Anthony N. Pettitt,et al.  A Sequential Monte Carlo Algorithm to Incorporate Model Uncertainty in Bayesian Sequential Design , 2014 .

[7]  Zidong Wang,et al.  State-Saturated Recursive Filter Design for Stochastic Time-Varying Nonlinear Complex Networks Under Deception Attacks , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[8]  Hugh F. Durrant-Whyte,et al.  A new method for the nonlinear transformation of means and covariances in filters and estimators , 2000, IEEE Trans. Autom. Control..

[9]  Bin Liu,et al.  Robust particle filter by dynamic averaging of multiple noise models , 2016, 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[10]  Fuad E. Alsaadi,et al.  Dynamic event-triggered mechanism for H∞ non-fragile state estimation of complex networks under randomly occurring sensor saturations , 2020, Inf. Sci..

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

[12]  Fuad E. Alsaadi,et al.  A Dynamic Event-Triggered Approach to H∞ Control for Discrete-Time Singularly Perturbed Systems With Time-Delays and Sensor Saturations , 2020 .

[13]  Joaquín Míguez,et al.  Analysis of selection methods for cost-reference particle filtering with applications to maneuvering target tracking and dynamic optimization , 2007, Digit. Signal Process..

[14]  Thiagalingam Kirubarajan,et al.  Estimation with Applications to Tracking and Navigation , 2001 .

[15]  Qing-Long Han,et al.  Networked control systems: a survey of trends and techniques , 2020, IEEE/CAA Journal of Automatica Sinica.

[16]  Yang Liu,et al.  Event-triggered filtering and fault estimation for nonlinear systems with stochastic sensor saturations , 2017, Int. J. Control.

[17]  Luca Martino,et al.  Effective sample size for importance sampling based on discrepancy measures , 2016, Signal Process..

[18]  Zidong Wang,et al.  Moving-Horizon Estimation for Linear Dynamic Networks With Binary Encoding Schemes , 2021, IEEE Transactions on Automatic Control.

[19]  Tongwen Chen,et al.  Event-Triggered State Estimation With an Energy Harvesting Sensor , 2017, IEEE Transactions on Automatic Control.

[20]  V. Elvira,et al.  Compressed Monte Carlo for Distributed Bayesian Inference , 2018 .

[21]  Weiguo Sheng,et al.  Finite-Horizon H∞ State Estimation for Stochastic Coupled Networks With Random Inner Couplings Using Round-Robin Protocol , 2020, IEEE Transactions on Cybernetics.

[22]  Luca Martino,et al.  Group Importance Sampling for Particle Filtering and MCMC , 2017, Digit. Signal Process..

[23]  Mónica F. Bugallo,et al.  Efficient linear fusion of partial estimators , 2014, Digit. Signal Process..

[24]  Jun Hu,et al.  Joint state and fault estimation for time-varying nonlinear systems with randomly occurring faults and sensor saturations , 2018, Autom..

[25]  Daniel E. Quevedo,et al.  Optimal Energy Allocation in Multisensor Estimation Over Wireless Channels Using Energy Harvesting and Sharing , 2019, IEEE Transactions on Automatic Control.

[26]  G.B. Giannakis,et al.  Distributed compression-estimation using wireless sensor networks , 2006, IEEE Signal Processing Magazine.

[27]  Huajing Fang,et al.  Modified particle filter and Gaussian filter with packet dropouts: Modified particle filter and gaussian filter with packet dropouts , 2018 .

[28]  S. Haykin,et al.  Cubature Kalman Filters , 2009, IEEE Transactions on Automatic Control.

[29]  Fuad E. Alsaadi,et al.  Particle filtering for networked nonlinear systems subject to random one-step sensor delay and missing measurements , 2018, Neurocomputing.

[30]  Zidong Wang,et al.  On Nonlinear $H_{\infty }$ Filtering for Discrete-Time Stochastic Systems With Missing Measurements , 2008, IEEE Transactions on Automatic Control.

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

[32]  Lei Guo,et al.  An information aware event-triggered scheme for particle filter based remote state estimation , 2019, Autom..

[33]  Purushottam Kulkarni,et al.  Energy Harvesting Sensor Nodes: Survey and Implications , 2011, IEEE Communications Surveys & Tutorials.

[34]  Weiguo Sheng,et al.  Adaptive Neural Event-Triggered Control for Discrete-Time Strict-Feedback Nonlinear Systems , 2020, IEEE Transactions on Cybernetics.

[35]  Fuad E. Alsaadi,et al.  Extended Kalman filtering subject to random transmission delays: Dealing with packet disorders , 2020, Inf. Fusion.

[36]  A. Marrs,et al.  Particle filters for tracking with out-of-sequence measurements , 2005, IEEE Transactions on Aerospace and Electronic Systems.

[37]  Neil J. Gordon,et al.  A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking , 2002, IEEE Trans. Signal Process..

[38]  Marcelo G. S. Bruno,et al.  Cooperative Target Tracking Using Decentralized Particle Filtering and RSS Sensors , 2013, IEEE Transactions on Signal Processing.

[39]  Mónica F. Bugallo,et al.  Sequential Monte Carlo methods under model uncertainty , 2016, 2016 IEEE Statistical Signal Processing Workshop (SSP).

[40]  Luca Martino,et al.  Cooperative parallel particle filters for online model selection and applications to urban mobility , 2015, Digit. Signal Process..

[41]  Vijay K. Bhargava,et al.  Wireless sensor networks with energy harvesting technologies: a game-theoretic approach to optimal energy management , 2007, IEEE Wireless Communications.

[42]  Rui Zhang,et al.  Optimal Energy Allocation for Wireless Communications With Energy Harvesting Constraints , 2011, IEEE Transactions on Signal Processing.

[43]  N. Gordon,et al.  Novel approach to nonlinear/non-Gaussian Bayesian state estimation , 1993 .

[44]  Alfred O. Hero,et al.  Relative location estimation in wireless sensor networks , 2003, IEEE Trans. Signal Process..

[45]  Fuad E. Alsaadi,et al.  Security‐guaranteed filtering for discrete‐time stochastic delayed systems with randomly occurring sensor saturations and deception attacks , 2017 .

[46]  Chin Keong Ho,et al.  Markovian models for harvested energy in wireless communications , 2010, 2010 IEEE International Conference on Communication Systems.

[47]  Jeffrey K. Uhlmann,et al.  Unscented filtering and nonlinear estimation , 2004, Proceedings of the IEEE.

[48]  Zidong Wang,et al.  Delay-distribution-dependent state estimation for neural networks under stochastic communication protocol with uncertain transition probabilities , 2020, Neural Networks.

[49]  Guoliang Wei,et al.  Protocol-Based Unscented Kalman Filtering in the Presence of Stochastic Uncertainties , 2020, IEEE Transactions on Automatic Control.

[50]  Jun Hu,et al.  A Prediction-Based Approach to Distributed Filtering With Missing Measurements and Communication Delays Through Sensor Networks , 2021, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[51]  Dong Wang,et al.  Finite-horizon filtering for a class of nonlinear time-delayed systems with an energy harvesting sensor , 2019, Autom..

[52]  Yurong Liu,et al.  Event-Triggered Partial-Nodes-Based State Estimation for Delayed Complex Networks With Bounded Distributed Delays , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[53]  Hak-Keung Lam,et al.  Distributed Event-Based Set-Membership Filtering for a Class of Nonlinear Systems With Sensor Saturations Over Sensor Networks , 2017, IEEE Transactions on Cybernetics.

[54]  Y. Ho,et al.  A Bayesian approach to problems in stochastic estimation and control , 1964 .

[55]  Zidong Wang,et al.  Distributed Federated Tobit Kalman Filter Fusion Over a Packet-Delaying Network: A Probabilistic Perspective , 2018, IEEE Transactions on Signal Processing.

[56]  Qi Li,et al.  A Dynamic Event-Triggered Approach to Recursive Filtering for Complex Networks With Switching Topologies Subject to Random Sensor Failures , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[57]  David Duvenaud,et al.  Optimally-Weighted Herding is Bayesian Quadrature , 2012, UAI.

[58]  Lei Guo,et al.  Particle filtering with applications in networked systems: a survey , 2016, Complex & Intelligent Systems.

[59]  Bin Liu,et al.  Instantaneous Frequency Tracking under Model Uncertainty via Dynamic Model Averaging and Particle Filtering , 2011, IEEE Transactions on Wireless Communications.

[60]  Y. Boers,et al.  Interacting multiple model particle filter , 2003 .