Longitudinal Force Distribution Using Quadratically Constrained Linear Programming

Journal article, 2011

In this paper a new method is presented for the optimization of force distribution for combined traction/braking and cornering. In order to provide a general, simple and flexible problem formulation, the optimization is addressed as a quadratically constrained linear programming (QCLP) problem. Apart from fast numerical solutions, different driveline configurations can be included in the QCLP problem in a very straightforward fashion. The optimization of the distribution of the individual wheel forces using the quasi steady state assumption is known to be useful for the study of the influence of particular driveline configurations on the combined lateral and longitudinal grip envelope of a particular vehicle/driveline configuration. The addition of the QCLP problem formulation, makes another powerful tool available to the vehicle dynamics analyst to perform such studies.