A three-dimensional free-trajectory quasi-steady-state optimal-control method for minimum-lap-time of race vehicles

A method to solve minimum-lap-time problems using quasi-steady-state models and free (i.e. not predetermined) trajectory on two-dimensional tracks has been recently proposed. This work describes th...

[1]  Anil V. Rao,et al.  GPOPS-II , 2014, ACM Trans. Math. Softw..

[2]  Hermann Winner,et al.  Extended Steady State Lap Time Simulation for Analyzing Transient Vehicle Behavior , 2013 .

[3]  David Crolla,et al.  Lap Time Simulation: Comparison of Steady State, Quasi- Static and Transient Racing Car Cornering Strategies , 2000 .

[4]  Francesco Biral,et al.  Comparison of direct and indirect methods for minimum lap time optimal control problems , 2018, Vehicle System Dynamics.

[5]  D. J. Purdy,et al.  Quasi-steady-state linearisation of the racing vehicle acceleration envelope: a limited slip differential example , 2014 .

[6]  D L Brayshaw,et al.  A quasi steady state approach to race car lap simulation in order to understand the effects of racing line and centre of gravity location , 2005 .

[7]  Roberto Lot,et al.  A General Method for the Evaluation of Vehicle Manoeuvrability with Special Emphasis on Motorcycles , 1999 .

[8]  Efstathios Velenis,et al.  Optimal control of motorsport differentials , 2015 .

[9]  Robin S. Sharp,et al.  Time-optimal control of the race car: influence of a thermodynamic tyre model , 2012 .

[10]  J.P.M. Hendrikx,et al.  Application of optimal control theory to inverse simulation of car handling , 1996 .

[12]  Matteo Massaro,et al.  A free-trajectory quasi-steady-state optimal-control method for minimum lap-time of race vehicles , 2020 .

[13]  Lorenz T. Biegler,et al.  On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming , 2006, Math. Program..

[14]  Anil V. Rao,et al.  Optimal control of Formula One car energy recovery systems , 2014, Int. J. Control.

[15]  Davide Tavernini,et al.  Minimum time cornering: the effect of road surface and car transmission layout , 2013 .

[16]  D L Brayshaw,et al.  Use of numerical optimization to determine the effect of the roll stiffness distribution on race car performance , 2005 .

[17]  Marco Gadola,et al.  A Tool for Lap Time Simulation , 1996 .

[18]  Francesco Biral,et al.  Symbolic-numeric efficient solution of optimal control problems for multibody systems , 2006 .

[19]  D. Williams,et al.  Near time-optimal control of racing vehicles , 1989, Autom..

[20]  David J. N. Limebeer,et al.  Optimizing the Aero-Suspension Interactions in a Formula One Car , 2016, IEEE Transactions on Control Systems Technology.

[21]  Cristiano Spelta,et al.  Virtual selection of the optimal gear-set in a race car , 2008 .

[22]  D. Casanova,et al.  Minimum Time Manoeuvring: The Significance of Yaw Inertia , 2000 .

[23]  David J. N. Limebeer,et al.  Optimal tyre usage for a Formula One car , 2016 .

[24]  Boris Lohmann,et al.  Time-optimal trajectory planning for a race car considering variable tyre-road friction coefficients , 2021, Vehicle System Dynamics.

[25]  David J. N. Limebeer,et al.  Optimal Control of a Formula One Car on a Three-Dimensional Track—Part 2: Optimal Control , 2015 .

[26]  Daniel Patrick Kelly.  Lap time simulation with transient vehicle and tyre dynamics , 2008 .

[27]  Roberto Lot,et al.  Minimum time optimal control simulation of a GP2 race car , 2018 .

[28]  David J. N. Limebeer,et al.  Optimal control for a Formula One car with variable parameters , 2014 .

[29]  Matteo Massaro,et al.  Dynamics and Optimal Control of Road Vehicles , 2018 .