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Real-Time Minimum-Time Lane Change Using the Modified Hamiltonian Algorithm

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Advances in Dynamics of Vehicles on Roads and Tracks (IAVSD 2019)

Abstract

A minimum-time lane change maneuver is executed under friction-limited conditions using (1) the Modified Hamiltonian Algorithm (MHA) suitable for real-time control and (2) numerical optimization for comparison. A key variable is the switching time of the acceleration reference in MHA. Considering that MHA is based on an approximate vehicle model to target real-time control, it cannot exactly match the ideal reference as obtained from offline optimization; this paper shows that incorporation of a limited-jerk condition successfully predicts the switching time and that the desired lane position is reached in near minimum time.

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Notes

  1. 1.

    Here, the particular case of a lane change towards the right where the friction limits are reached is considered. The method can similarly be derived for the other cases.

References

  1. Berntorp, K., Olofsson, B., Lundahl, K., Nielsen, L.: Models and methodology for optimal trajectory generation in safety-critical road-vehicle manoeuvres. Veh. Syst. Dyn. 52(10), 1304–1332 (2014)

    Article  Google Scholar 

  2. CarMaker, IPG. User’s guide version 4.5.2 (2014)

    Google Scholar 

  3. Cui, Q., Ding, R., Wu, X., Zhou, B.: A new strategy for rear-end collision avoidance via autonomous steering and differential braking in highway driving. Veh. Syst. Dyn. (2019, in press)

    Google Scholar 

  4. Funke, J., Gerdes, J.C.: Simple clothoid lane change trajectories for automated vehicles incorporating friction constraints. ASME. J. Dyn. Syst. Meas. Control 138(2), 26–35 (2015)

    Google Scholar 

  5. Gao, Y., Gordon, T., Lidberg, M.: Optimal control of brakes and steering for autonomous collision avoidance using modified Hamiltonian algorithm. Veh. Syst. Dyn. 57(8), 1224–1240 (2019)

    Article  Google Scholar 

  6. Gao, Y., Lidberg, M., Gordon, T.: Modified Hamiltonian algorithm for optimal lane change with application to collision avoidance. MM Sci. J. 576–584 (2015)

    Google Scholar 

  7. Gao, Y., Lin, T., Borrelli, F., Tseng, E., Hrovat, D.: Predictive control of autonomous ground vehicles with obstacle avoidance on slippery roads. In: ASME Dynamic Systems and Control Conference, pp. 265–272 (2010)

    Google Scholar 

  8. Shiller, Z., Sundar, S.: Emergency lane-change maneuvers of autonomous vehicles. ASME. J. Dyn. Sys. Meas. Control 120(1), 37–44 (1998)

    Article  Google Scholar 

  9. Zeping, F., Jianmin, D.: Optimal lane change motion of intelligent vehicles based on extended adaptive pseudo-spectral method under uncertain vehicle mass. Adv. Mech. Eng. 9(7), 1–15 (2017)

    Article  Google Scholar 

  10. Åkesson, J., Årzén, K.-E., Gäfvert, M., Bergdahl, T., Tummescheit, H.: Modeling and optimization with Optimica and JModelica.org—Languages and tools for solving large-scale dynamic optimization problems. Comput. Chem. Eng. 34(11), 1737–1749 (2010)

    Article  Google Scholar 

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Correspondence to Victor Fors .

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Fors, V., Gao, Y., Olofsson, B., Gordon, T., Nielsen, L. (2020). Real-Time Minimum-Time Lane Change Using the Modified Hamiltonian Algorithm. In: Klomp, M., Bruzelius, F., Nielsen, J., Hillemyr, A. (eds) Advances in Dynamics of Vehicles on Roads and Tracks. IAVSD 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-38077-9_167

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  • DOI: https://doi.org/10.1007/978-3-030-38077-9_167

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-38076-2

  • Online ISBN: 978-3-030-38077-9

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