Summary
The purpose of this paper is to solve two simplified optimal traction control problems, the drag racer problem and the hot-rodder problem. The control problems are defined and the optimal solutions are given. The solution to each problem is not bang-bang, but includes a singular control.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bardi, M., Capuzzo-Dolcetta, I.: Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. Birkhauser, Boston (1997)
Pontryagin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V., Mishchenko, E.F.: The Mathematical Theory of Optimal Processes. John Wiley and Sons, New York (1962)
Athans, M., Falb, P.: Optimal Control: An Introduction to the Theory and Its Applications. McGraw-Hill, New York (1966)
Gillespie, T.: Fundamentals of Vehicle Dynamics. Society of Automotive Engineers, Warrendale (1992)
Bosch: Driving-Safety Systems. Society of Automotive Engineers, Warrendale (1999)
Pacejka, H.: Tire and Vehicle Dyanmics. Society of Automotive Engineers, Warrendale (2005)
Kiencke, U.: Automotive Control Systems For Engine, Driveline and Vehicle. Society of Automotive Engineers, Warrendale (2000)
Johansen, T.A., Kalkkul, J., Ludemann, J., Petersen, I.: Hybrid control strategies in ABS. In: Proc. American Control Conference, pp. 1704–1705 (2001)
Tsiotras, P., Canudas De Wit, C.: On the optimal braking of wheeled vehicles. In: Proc. American Control Conference, pp. 569–573 (2000)
Mirzaei, A., Moallem, M., Mirzaeian, B.: Optimal design of a hybrid controller for antilock braking systems. In: Proc. IEEE/ASME Int’l Conf. on Advanced Intelligent Mechatronics, pp. 905–910 (2005)
Canudas De Wit, C., Olsson, H., Astrom, K., Lischinsky, P.: A new model for control of systems with friction. IEEE Trans. on Automatic Control 40, 419–425 (1995)
Drakunov, S., Ozguner, U., Dix, P., Ashrafi, B.: ABS control using optimum search via sliding modes. IEEE Trans. on Control Systems Tech. 3, 79–85 (1995)
Muragishi, Y., Ono, E.: Application of hybrid control method to braking control system with estimation of tire force characteristics. R&D Review of Toyota CRDL 38, 22–30 (2003)
Choi, H., Hong, S.: Hybrid control for longitudinal speed and traction of vehicles. In: IECON 2002, vol. 2, pp. 1675–1680 (2002)
de Koker, P., Gouws, J., Pretorius, L.: Fuzzy control algorithm for automotive traction control systems. In: MELECON 1996, vol. 1, pp. 226–229 (1996)
Garcia-Rivera, M., Sanz, R., Perez-Rodriguez, J.A.: An antislipping fuzzy logic controller for a railway traction system. In: Proc. Sixth IEEE Int’l Conf. on Fuzzy Systems, vol. 1, pp. 119–124 (1997)
Sussmann, H.: A maximum principle for hybrid optimal control problems. In: Proc. IEEE Conference on Decision and Control, pp. 425–430 (1999)
Drag Race Results, http://www.draglist.com/artman/publish/raceresults/article001432.shtml
Hallum, C.: The magic of the drag tire, SAE Paper 942484. Presented at SAE MSEC (1994)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Kefauver, K.R., Levine, W.S. (2009). A Precise Formulation and Solution of the Drag Racer and Hot Rodder Problems. In: Ghosh, B.K., Martin, C.F., Zhou, Y. (eds) Emergent Problems in Nonlinear Systems and Control. Lecture Notes in Control and Information Sciences, vol 393. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03627-9_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-03627-9_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03626-2
Online ISBN: 978-3-642-03627-9
eBook Packages: EngineeringEngineering (R0)