Particle learning methods for state and parameter estimation

This paper presents an approach for online parameter estimation within particle filters. Current research has mainly been focused towards the estimation of static parameters. However, in scenarios of target maneuver-ability, it is often necessary to update the parameters of the model to meet the changing conditions of the target. The novel aspect of the proposed approach lies in the estimation of non-static parameters which change at some unknown point in time. Our parameter estimation is updated using change point analysis, where a change point is identified when a significant change occurs in the observations of the system, such as changes in direction or velocity.

[1]  Hedibert F. Lopes,et al.  Particle filters and Bayesian inference in financial econometrics , 2011 .

[2]  Christophe Andrieu,et al.  Particle methods for change detection, system identification, and control , 2004, Proceedings of the IEEE.

[3]  Geir Storvik,et al.  Particle filters for state-space models with the presence of unknown static parameters , 2002, IEEE Trans. Signal Process..

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

[5]  Yaakov Bar-Shalom,et al.  Design of an interacting multiple model algorithm for air traffic control tracking , 1993, IEEE Trans. Control. Syst. Technol..

[6]  Nicholas G. Polson,et al.  Particle Learning and Smoothing , 2010, 1011.1098.

[7]  Lyudmila Mihaylova,et al.  Noise parameters estimation with Gibbs sampling for localisation of mobile nodes in wireless networks , 2010, 2010 13th International Conference on Information Fusion.

[8]  Michael A. West,et al.  Combined Parameter and State Estimation in Simulation-Based Filtering , 2001, Sequential Monte Carlo Methods in Practice.

[9]  P. Fearnhead Markov chain Monte Carlo, Sufficient Statistics, and Particle Filters , 2002 .

[10]  Y. Bar-Shalom,et al.  The interacting multiple model algorithm for systems with Markovian switching coefficients , 1988 .

[11]  M. Pitt,et al.  Filtering via Simulation: Auxiliary Particle Filters , 1999 .

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