On the Stability and Agility of Aggressive Vehicle Maneuvers: A Pendulum-Turn Maneuver Example

We present a dynamic stability and agility study of a pendulum-turn vehicle maneuver. Instead of optimizing the controlled inputs to mimic expert human driver performance, we focus on understanding the stability and agility performance of the vehicle motion using professional racing car driver testing data. We propose to use the rear side slip angle, rather than the vehicle mass center side slip angle, as one state variable to obtain the precise stable region. A hybrid physical/dynamic tire/road friction model is used to capture the dynamic friction force characteristics. We also introduce the use of vehicle lateral jerk and acceleration information as the agility metrics to compare maneuvering performance under the racing car driver and a typical human driver. The analysis and testing results show that during the pendulum-turn maneuvers, the professional driver operates the vehicle outside the stable regions of the vehicle dynamics to achieve superior agility performance than that under typical human driver control. Comparison results also show that the racing car driver outperforms in both the traveling time and the agility metrics. It is ongoing work to design a control strategy for autonomous aggressive maneuvers by using the new stability and agility results presented in this paper.

[1]  Efstathios Velenis,et al.  Modeling aggressive maneuvers on loose surfaces: The cases of Trail-Braking and Pendulum-Turn , 2007, 2007 European Control Conference (ECC).

[2]  Igor Skrjanc,et al.  Discussion on: "Optimality Properties and Driver Input Parameterization for Trail-braking Cornering" , 2008, Eur. J. Control.

[3]  Balakumar Balachandran,et al.  Lateral Load Transfer Effects on Bifurcation Behavior of Four-Wheel Vehicle System , 2009 .

[4]  Emilio Frazzoli,et al.  Aggressive Maneuvering of Small Autonomous Helicopters: A Human-Centered Approach , 2001, Int. J. Robotics Res..

[5]  Efstathios Velenis,et al.  Optimality Properties and Driver Input Parameterization for Trail-braking Cornering , 2008, Eur. J. Control.

[6]  Jingang Yi On the Hybrid Physical/Dynamic Tire/Road Friction Model , 2009 .

[7]  Gábor Stépán,et al.  Stability and Bifurcation of Longitudinal Vehicle Braking , 2005 .

[8]  Kyongsu Yi,et al.  Design and evaluation of side slip angle-based vehicle stability control scheme on a virtual test track , 2006, IEEE Transactions on Control Systems Technology.

[9]  Jianbo Lu,et al.  On the Dynamic Stability and Agility of Aggressive Vehicle Maneuvers: A Pendulum-Turn Maneuver Example , 2010 .

[10]  Eric Feron,et al.  Human-Inspired Control Logic for Automated Maneuvering of Miniature Helicopter , 2004 .

[11]  Shun'ichi Doi,et al.  Bifurcation in vehicle dynamics and robust front wheel steering control , 1998, IEEE Trans. Control. Syst. Technol..

[12]  Jingang Yi,et al.  A Hybrid Physical-Dynamic Tire/Road Friction Model , 2013 .

[13]  Yizhai Zhang,et al.  Autonomous motorcycles for agile maneuvers, part I: Dynamic modeling , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[14]  Der-Cherng Liaw,et al.  Elucidating Vehicle Lateral Dynamics Using a Bifurcation Analysis , 2007, IEEE Transactions on Intelligent Transportation Systems.

[15]  Charles C. MacAdam,et al.  Application of an Optimal Preview Control for Simulation of Closed-Loop Automobile Driving , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[16]  Masato Abe,et al.  An experimentally confirmed driver longitudinal acceleration control model combined with vehicle lateral motion , 2008 .

[17]  Pieter Abbeel,et al.  An Application of Reinforcement Learning to Aerobatic Helicopter Flight , 2006, NIPS.

[18]  Uwe Kiencke,et al.  Automotive Control Systems , 2005 .

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

[20]  Hans B. Pacejka,et al.  Tire and Vehicle Dynamics , 1982 .

[21]  Francesco Braghin,et al.  Race driver model , 2008 .

[22]  Giulio Avanzini,et al.  Analysis of Aircraft Agility on Maximum Performance Maneuvers , 1998 .

[23]  Shuiwen Shen,et al.  Nonlinear dynamics and stability analysis of vehicle plane motions , 2007 .

[24]  Emilio Frazzoli Discussion on: “Optimality Properties and Driver Input Parameterization for Trail-braking Cornering” , 2008 .

[25]  Wei Liang,et al.  Analytical dynamic tire model , 2008 .

[26]  Pieter Abbeel,et al.  Apprenticeship learning and reinforcement learning with application to robotic control , 2008 .

[27]  J. Christian Gerdes,et al.  Sliding Surface Envelope Control: Keeping the Vehicle Within a Safe State-Space Boundary , 2010 .

[28]  Dezhen Song,et al.  Kinematic Modeling and Analysis of Skid-Steered Mobile Robots With Applications to Low-Cost Inertial-Measurement-Unit-Based Motion Estimation , 2009, IEEE Transactions on Robotics.

[29]  Jingang Yi,et al.  Nonlinear Stability Analysis of Vehicle Lateral Motion With a Hybrid Physical/Dynamic Tire/Road Friction Model , 2009 .