Estimation of instantaneous states of an SI gasoline engine using EKF and UKF

This paper deals with the estimation of instantaneous states of a Spark Ignition gasoline engine which is a hybrid system exhibiting both continuous and discrete dynamics. Two estimation techniques have been explored, namely the Extended Kalman Filter (EKF) and Unscented Kalman Filter (UKF) to operate on such a model. It has been shown in this paper that the UKF estimator performs better than the EKF under same model and measurement conditions. Hence proving the fact that the UKF is better for estimation of highly non-linear switched dynamic system like engines as it does not approximate the model by linearization, by the computation of Jacobians, which is done in case of EKF. The estimation is done for 12 states of a 4-cylinder engine with 5 measurements and results have been validated using standard engine simulation software.

[1]  Application of Unscented Kalman Filter for Non-linear Estimation in Deformation Monitoring , 2006 .

[2]  Simon J. Julier,et al.  The spherical simplex unscented transformation , 2003, Proceedings of the 2003 American Control Conference, 2003..

[3]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[4]  Bjarne A. Foss,et al.  Constrained nonlinear state estimation based on the UKF approach , 2009, Comput. Chem. Eng..

[5]  Dieter Fox,et al.  GP-UKF: Unscented kalman filters with Gaussian process prediction and observation models , 2007, 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[6]  Xiaosu Xu,et al.  The Application of EKF and UKF to the SINS/GPS Integrated Navigation Systems , 2010, 2010 2nd International Conference on Information Engineering and Computer Science.

[7]  F. Martinelli Robot localization: comparable performance of EKF and UKF in some interesting indoor settings , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[8]  Yuanxin Wu,et al.  Unscented Kalman filtering for additive noise case: augmented versus nonaugmented , 2005, IEEE Signal Processing Letters.

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

[10]  Karim Salahshoor,et al.  EKF and UKF-based estimation of a sensor-less axial flux PM machine under an internal-model control scheme using a SVPWM inverter , 2010, Proceedings of the 29th Chinese Control Conference.

[11]  Rudolph van der Merwe,et al.  The Unscented Kalman Filter , 2002 .