Title
Nonlinear estimation using Mean Field Games
Abstract
This paper introduces Mean Field Games (MFG) as a framework to develop optimal estimators in some sense for a general class of nonlinear systems. We show that under suitable conditions the estimation error converges exponentially fast to zero. Computer simulations are performed to illustrate the method. In particular we provide an example where the proposed estimator converges whereas both extended Kalman filter and particle filter diverge.
Year
Venue
Keywords
2011
Network Games, Control and Optimization
Kalman filters,game theory,nonlinear estimation,particle filtering (numerical methods),MFG,extended Kalman filter,mean field games,nonlinear estimation,optimal estimator,particle filter
Field
DocType
ISBN
Convergence (routing),Applied mathematics,Extended Kalman filter,Nonlinear system,Control theory,Particle filter,Minimum mean square error,Kalman filter,Mean field theory,Mathematics,Estimator
Conference
978-1-4673-0383-5
Citations 
PageRank 
References 
4
0.47
5
Authors
4
Name
Order
Citations
PageRank
Sergio Daniel Pequito114620.72
Aguiar, A.268663.85
Bruno Sinopoli32837188.08
Diogo A. Gomes46811.86