Modelling of selective catalytic reduction systems using discrete-time Linear Parameter Varying models

In this work, a Linear Parameter Varying (LPV) model of the Selective Catalytic Reduction (SCR) system, used for NOx reduction placed as after-treatment systems in diesel engines is developed. The LPV model structure is formed utilising the physical properties of the system yielding only 7 unknown parameters for a third order model structure of the SCR, which is a significant reduction in number of parameters in comparison with other nonlinear models used in this paper. The states of the model however, do not possess any physical interpretation. The LPV model structure is validated using real measured data from cell tests at Scania AB with promising results. The proposed model is compared to previous global nonlinear models of the system, i.e. a nonlinear state space model and a Hammerstein-Wiener model of the system.

[1]  Yanying Wang,et al.  Dynamic modeling of a three-way catalyst for SI engine exhaust emission control , 2000, IEEE Trans. Control. Syst. Technol..

[2]  Christopher H. Onder,et al.  Control of an SCR catalytic converter system for a mobile heavy-duty application , 2006, IEEE Transactions on Control Systems Technology.

[3]  Bengt Carlsson,et al.  Identification of a discrete-time nonlinear Hammerstein-Wiener model for a selective catalytic reduction system , 2011, Proceedings of the 2011 American Control Conference.

[4]  Junmin Wang,et al.  Staircase ammonia coverage ratio profile control for Diesel engine two-cell selective catalytic reduction systems , 2010, Proceedings of the 2010 American Control Conference.

[5]  Soma Tayamon,et al.  A multiple model-based controller for NOx reduction in a selective catalytic reduction system , 2013, 2013 European Control Conference (ECC).

[6]  A. Packard,et al.  LQG control design for LPV systems , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[7]  P. Apkarian,et al.  Advanced gain-scheduling techniques for uncertain systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[8]  W. A. Rasheed,et al.  Model based control for a Selective Catalytic Reduction (SCR) system in an exhaust gas aftertreatment system for a diesel engine , 2013, 2013 International Conference on Energy Efficient Technologies for Sustainability.

[9]  Claes Ericson Model Based Optimization of a Complete Diesel Engine/SCR System , 2009 .

[10]  Lennart Ljung,et al.  System identification toolbox for use with MATLAB , 1988 .

[11]  Manfred Morari,et al.  Explicit MPC for LPV Systems: Stability and Optimality , 2012, IEEE Transactions on Automatic Control.

[12]  Roland Toth,et al.  Modeling and Identification of Linear Parameter-Varying Systems , 2010 .

[13]  Bengt Carlsson,et al.  Nonlinear black box identification of a Selective Catalytic Reduction system , 2011 .

[14]  Javad Mohammadpour,et al.  Control of linear parameter varying systems with applications , 2012 .

[15]  T. Wigren,et al.  Recursive prediction error identification and scaling of non-linear systems with midpoint numerical integration , 2010, Proceedings of the 2010 American Control Conference.

[16]  Rhona K. M. Smith Regulation (EC) No 764/2008 of the European Parliament and of the Council , 2015 .

[17]  Ashok Gopinath,et al.  A Kinetic Model for the Selective Catalytic Reduction of NOx with NH3 over an Fe-zeolite Catalyst , 2010 .