Pendulum state estimation using nonlinear state estimators
-
2018-03-18 https://doi.org/10.14419/ijet.v7i2.7.10244 -
Extended Kalman Filter, Linearized Kalman Filter, Non-Linear, Simple Pendulum, State estimation -
Abstract
The convergence over Non-linear state estimation is not satisfied by Kalman filter. For nonlinear state estimation problems, the present research work on the performance analysis of linearized kalman filter and extended kalman filter for a simple nonlinear state estimation problem. The simple pendulum is the best example for simple nonlinear state dynamics. The performance analysis based on the root mean square errors of the estimates also specified through Monte-Carlo simulation.
-
References
[1] Vincent Santarelli, Joyce Carolla and Michael Ferner ,“A New Look at the Simple Pendulumâ€, THE PHYSICS TEACHER, Vol.31, April 1993.
[2] Torstein A. Myhre, Olav Egeland, “Parameter Estimation for Visual Tracking of aSpherical Pendulum with Particle Filterâ€,2015 IEEE International Conference on Multisensor Fusion and lntegration for Intelligent Systems (MFI)Sept 14-16, 2015.
[3] Dan Simon, “Optimal State Estimation Kalman, H∞, and Nonlinear Approaches", John Wiley and sons Inc., publishers.
[4] KonradReif and RolfUnbehauen, “linearlsation along trajectories and the extended Kalman Filterâ€, Copy righl© 11J96JFAC13th Triennial World Congress, Sun Francisco.USA
[5] Yongkyu Song and Jessy W. Grizzle,“The Extended Kalman Filter as a Local Asymptotic Observer for Nonlinear Discrete Time Systemsâ€, University of Michigan, Ann Arbor, MI 48109-2122, USA.
[6] SimoSarkka, “Bayesian Filtering and Smoothingâ€, Cambridge University Press.
[7] JouniHartikainen, Arno Solin, and SimoSarkka, “Optimal Filtering with Kalman Filters and Smoothers a Manual for the Matlab toolbox EKF/UKFâ€, Aalto University School of Science, August 16, 2011.
[8] SimoSarkka, “Bayesian Estimation of Time-Varying Systems,Copyright (C) SimoSärkkä, 2009–2012.
-
Downloads
-
How to Cite
Naga Anusha, M., Swara, Y., Koteswara Rao, S., & Gopi Tilak, V. (2018). Pendulum state estimation using nonlinear state estimators. International Journal of Engineering & Technology, 7(2.7), 9-11. https://doi.org/10.14419/ijet.v7i2.7.10244Received date: 2018-03-18
Accepted date: 2018-03-18
Published date: 2018-03-18