Optimality Properties and Driver Input Parameterization for Trail-braking Cornering

In this work we present an analysis of rally-racing driving techniques using numerical optimization. We provide empirical guidelines for executing a Trail- Braking (TB) maneuver, one of the common cornering techniques used in rally-racing. These guidelines are verified via experimental data collected from TB maneuvers performed by an expert rally driver. We show that a TB maneuver can be generated as a special case of the minimum-time cornering problem subject to specific boundary conditions. We propose simple parameterizations of the driver's steering, throttle and braking commands that lead to an alternative formulation of the optimization problem with a reduced search space. We show that the proposed parametrization of the driver's commands can reproduce TB maneuvers along a variety of corner geometries, requiring only a small number of parameters.

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

[2]  E. Velenis,et al.  Minimum Time vs Maximum Exit Velocity Path Optimization During Cornering , 2005, Proceedings of the IEEE International Symposium on Industrial Electronics, 2005. ISIE 2005..

[3]  E. Feron,et al.  Real-time motion planning for agile autonomous vehicles , 2000, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[4]  Efstathios Velenis.  Analysis and Control of High-Speed Wheeled Vehicles , 2006 .

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

[6]  Igor Skrjanc,et al.  Time optimal path planning considering acceleration limits , 2003, Robotics Auton. Syst..

[7]  E. Velenis,et al.  Optimal Velocity Profile Generation for Given Acceleration Limits; The Half-Car Model Case , 2005, Proceedings of the IEEE International Symposium on Industrial Electronics, 2005. ISIE 2005..

[8]  P. Tsiotras,et al.  Minimum-Time Travel for a Vehicle with Acceleration Limits: Theoretical Analysis and Receding-Horizon Implementation , 2008 .

[9]  Munther A. Dahleh,et al.  Maneuver-based motion planning for nonlinear systems with symmetries , 2005, IEEE Transactions on Robotics.

[10]  Matthew G. Villella.  Nonlinear Modeling and Control of Automobiles with Dynamic Wheel-Road Friction and Wheel Torque Inputs , 2004 .

[11]  P. Tsiotras,et al.  Optimal velocity profile generation for given acceleration limits: theoretical analysis , 2005, Proceedings of the 2005, American Control Conference, 2005..

[12]  P. Gill,et al.  Fortran package for nonlinear programming. User's Guide for NPSOL (Version 4. 0) , 1986 .

[13]  Hans B. Pacejka,et al.  Tyre Modelling for Use in Vehicle Dynamics Studies , 1987 .

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