Modeling aggressive maneuvers on loose surfaces: The cases of Trail-Braking and Pendulum-Turn

In this work we initiate a mathematical analysis of rally racing techniques. We provide an empirical description of Trail-Braking (TB) and Pendulum-Turn (PT) cornering, two of the most common rally racing maneuvers. We introduce a low order vehicle model that can be efficiently used within an optimization scheme. The model incorporates the appropriate level of detail to reproduce modes of operation typical of those encountered in rally, off-road racing. We use a numerical scheme to study different trajectory optimization scenarios during cornering. We show that our modeling approach is capable of reproducing TB and PT as special cases of the minimum-time solution with additional constraints.

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

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

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

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

[5]  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..

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

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

[8]  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..

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

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

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

[12]  P. Tsiotras,et al.  Optimal velocity profile generation for given acceleration limits: receding horizon implementation , 2005, Proceedings of the 2005, American Control Conference, 2005..

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