Longitudinal force distribution using quadratically constrained linear programming

• Published in: Vehicle system dynamics Vol. 49; no. 12; pp. 1823 - 1836
• Main Author: Klomp, M.
• Format: Journal Article
• Language: English
• Published: Colchester Taylor & Francis 01.12.2011
• Subjects: Applied sciences; Drives; Exact sciences and technology; Machine components; Mechanical engineering. Machine design; non-linear programming; optimal force distribution; optimisation; Shafts, couplings, clutches, brakes; Springs and dampers; vehicle dynamics control; Wheel; Braking; Mechanical drive; non-linear programming; Linear programming; Non linear programming; vehicle dynamics control; Traction; Vehicle dynamics; Steady state; optimisation; Road turn; optimal force distribution
• ISSN: 0042-3114; 1744-5159; 1744-5159
• DOI: 10.1080/00423114.2010.545131

In this paper, a new method is presented for the optimisation of force distribution for combined traction/braking and cornering. In order to provide a general, simple and flexible problem formulation, the optimisation 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 optimisation 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.