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Vol: 54(68) No: 2 / June 2009 Nonlinear Modeling and Piecewise Linear Parameter Varying Models for a Hybrid Electric Vehicle Zsuzsa Preitl Dept. of Control and Transport Automation, Budapest University of Technology and Economics, Bertalan L. u. 2, Z522, H-1111 Budapest, Hungary, e-mail: preitl@sch.bme.hu Balázs Kulcsár Delft Center for Systems and Control, Faculty 3ME, Technical University of Delft, Delft, Mekelweg 2, 2628 CD, The Netherlands József Bokor Computer and Automation Research Institute, Hungarian Academy of Sciences, Kende u.13-17, H-1518 Budapest, Hungary Keywords: piecewise linear parameter varying model, hybrid electric vehicle Abstract The paper presents a nonlinear and a quasi-Piecewise Linear Parameter varying (q-PWLPV) model for a Hybrid Electric Vehicle (HEV) built, both in continuous and in discrete time. The advantage of the new modeling approach lies in a better handling of nonlinearities. Controllability of the switching system was studied. The linearized models were tested through simulations. The model can further be used for developing control strategies for fuel consumption optimization. References [1] P. Bauer, Zs. Preitl, P. Gáspár, Z. Szabó, J. Bokor Improved model of a series hybrid solar vehicle, Second International Workshop on Hybrid and Solar Vehicles, September 14, 2006 University of Salerno, Italy, pp. 1054-1059. [2] Wu F. Control of linear parameter varying systems. PhD Thesis, University of California at Berkeley 1995. [3] Scherer C, Weiland S. Linear Matrix Inequalities in Control. Delft Center for Systems and Control: Delft, The Netherlands, 2004. [4] Marcos A. Aircraft applications of fault detection and isolation techniques. PhD Thesis, Department of Aerospace and Engineering Mechanics, University of Minnesota, USA 2004. [5] Arsie I., Martino R. Di, Rizzo G., Sorrentino M. A model for a hybrid solar vehicle prototype, Workshop on Hybrid Solar Vehicles, November 6, University of Salerno, Italy, 2006. [6] M.W.T. Koot, J.T.B.A. Kessels, A.G. de Jager, W.P.M.H. Heemels, P.P.J. van den Bosch, M. Steinbuch Energy Management Strategies for Vehicular Electric Power Systems, IEEE Trans. on Vehicular Technology, 54(3), 771-782. [7] Zs. Preitl, B. Kulcsár, J. Bokor Piecewise Linear Parameter Varying Mathematical Model of a Hybrid Solar Vehicle, IV 2008 – IEEE Intelligent Vehicles Symposium, Eindhoven, The Netherlands, June 4-6, 2008. [8] Zs. Preitl, B. Kulcsar, P. Bauer, J. Bokor Modelling a Series Hybrid Solar Vehicle, Workshop on Real Time Control of Hybrid Systems, Budapest, Hungary, October 28-30, 2007. [9] S. Piller, M. Perrin, A. Jossen. Methods for state-of-charge determination and their applications, Journal of Power Sources, Vol. 96, (2001) pp. 113-120. [10] K.M. Hangos, J. Bokor, G. Szederkenyi. Analysis and control of nonlinear process systems, Springer Verlag, 2004. [11] G. Stikkel, J. Bokor, Z. Szabo. Necessary and sufficient condition for the controllability of switching linear hybrid systems, Automatica, Vol. 40, (2004) pp. 1093-1097. [12] Z. Yang An algebraic approach towards the controllability of controlled switching linear hybrid systems, Automatica, Vol. 38, (2002) pp. 1221- 1228. [13]G. Stikkel, J. Bokor, Z. Szabo. Necessary and sufficient condition for the controllability of switching linear hybrid systems, Automatica, Vol. 40, (2004) pp. 1093-1097. [14] M. Eckman. Modeling and Control of Bilinear Systems. Applications to the Activated Sludge Process, Dissertation for the degree of Doctor of Philosophy in Automatic Control presented at Uppsala University, Sweden, 2005. |