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Oktay Arslan , Jason Bentley, Matthew Bigelow, Aude Marzuoli

Optimizing the Control of Aggressive Braking Maneuvers for Wheeled Vehicles Via Analytical and Numerical Methods. Oktay Arslan , Jason Bentley, Matthew Bigelow, Aude Marzuoli AE 6511 Optimal Guidance and Control Term Project 10 December 2010. Outline. Introduction

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Oktay Arslan , Jason Bentley, Matthew Bigelow, Aude Marzuoli

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  1. Optimizing the Control of Aggressive Braking Maneuvers for Wheeled Vehicles Via Analytical and Numerical Methods OktayArslan, Jason Bentley, Matthew Bigelow, AudeMarzuoli AE 6511 Optimal Guidance and Control Term Project 10 December 2010

  2. Outline • Introduction • Vehicle Model and Optimal Control Problem • Analytical Results and Discussion • Numerical Results and Discussion • Conclusions and Recommendations

  3. Introduction Why are we here?

  4. Vehicle Safety • 6,420,000 auto accidents in U.S. in 2005 • These cost over $230 billion • 115 people die every day in U.S. from car crashes

  5. Unmanned Vehicles • Unmanned aerial vehicles (UAVs) are already in use • Some employ automated controls • Desired to have unmanned land vehicles as well

  6. Modeling and Optimal Control Nobody’s perfect.

  7. Vehicle Model

  8. Optimal Control Problem Formulation

  9. Optimal Control Problem for a Rear-Wheel Driven Vehicle

  10. Optimal Control Problem : Necessary Conditions

  11. Optimal Control Problem : Transversality Conditions

  12. Optimal Control and Investigation for a Singular Control In theory :

  13. Analytical Results and Discussion The wisest know that they know nothing.

  14. Numerical Results and Discussion When in doubt, ask your calculator.

  15. Conclusions and Recommendations Our survey says…

  16. The End Any Questions?

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