Longitudinal force distribution using quadratically constrained linear programming

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. Apa...

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Published inVehicle system dynamics Vol. 49; no. 12; pp. 1823 - 1836
Main Author Klomp, M.
Format Journal Article
LanguageEnglish
Published Colchester Taylor & Francis 01.12.2011
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Abstract 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.
AbstractList 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.
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.
Author Klomp, M.
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  organization: Saab Automobile
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10.1017/CBO9780511804441
10.1080/00423110802033072
10.1080/00423118808969235
10.1243/095440705X11211
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Issue 12
Keywords 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
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Snippet 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,...
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,...
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SubjectTerms 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
Title Longitudinal force distribution using quadratically constrained linear programming
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Volume 49
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