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Adaptive Time Stepping in Real-Time Motion Planning

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Algorithmic Foundations of Robotics IX

Part of the book series: Springer Tracts in Advanced Robotics ((STAR,volume 68))

Abstract

Replanning is a powerful mechanism for controlling robot motion under hard constraints and unpredictable disturbances, but it involves an inherent tradeoff between the planner’s power (e.g., a planning horizon or time cutoff) and its responsiveness to disturbances. We present a real-time replanning technique that uses adaptive time stepping to learn the amount of time needed for a sample-based motion planner to make monotonic progress toward the goal. The technique is robust to the typically high variance exhibited by planning queries, and we prove that it is asymptotically complete for a deterministic environment and a static objective. For unpredictable environments, we present an adaptive time stepping contingency planning algorithm that achieves simultaneous safety-seeking and goal-seeking motion. These techniques generate responsive and safe motion in simulated scenarios across a range of difficulties, including applications to pursuit-evasion and aggressive collision-free teleoperation of an industrial robot arm in a cluttered environment.

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References

  1. Allgöwer, F., Zheng, A.: Nonlinear Model Predictive Control (Progress in Systems and Control Theory). Birkhäuser, Basel (1956)

    Google Scholar 

  2. Anderson, S.J., Peters, S.C., Iagnemma, K.D., Pilutti, T.E.: A unified approach to semi-autonomous control of passenger vehicles in hazard avoidance scenarios. In: Proc. IEEE Int. Conf. on Systems, Man and Cybernetics, San Antonio, TX, USA, pp. 2032–2037 (2009)

    Google Scholar 

  3. Bekris, K., Kavraki, L.: Greedy but safe replanning under kinodynamic constraints. In: Proc. IEEE Int. Conference on Robotics and Automation (ICRA), Rome, Italy, pp. 704–710 (April 2007)

    Google Scholar 

  4. Bruce, J., Veloso, M.: Real-time randomized path planning for robot navigation. In: IEEE International Conference on Intelligent Robots and Systems (IROS), Lausanne, Switzerland (October 2002)

    Google Scholar 

  5. Feron, E., Frazzoli, E., Dahleh, M.: Real-time motion planning for agile autonomous vehicles. In: AIAA Conference on Guidance, Navigation and Control, Denver, USA (August 2000)

    Google Scholar 

  6. Hauser, K., Ng-Thow-Hing, V.: Fast smoothing of manipulator trajectories using optimal bounded-acceleration shortcuts. In: Proc. IEEE Int. Conference on Robotics and Automation (ICRA), Anchorage, USA (2010)

    Google Scholar 

  7. Hsu, D., Kindel, R., Latombe, J.-C., Rock, S.: Kinodynamic motion planning amidst moving obstacles. Int. J. Rob. Res. 21(3), 233–255 (2002)

    Article  Google Scholar 

  8. Kallmann, M., Mataric, M.: Motion planning using dynamic roadmaps. In: IEEE Intl. Conf. on Robotics and Automation (ICRA) (April 2004)

    Google Scholar 

  9. LaValle, S., Kuffner, J.: Randomized kinodynamic planning. In: Proc. IEEE Intl. Conf. on Robotics and Automation, pp. 473–479 (1999)

    Google Scholar 

  10. Likhachev, M., Ferguson, D., Gordon, G., Stentz, A., Thrun, S.: Anytime dynamic a*: An anytime, replanning algorithm. In: Proceedings of the International Conference on Automated Planning and Scheduling (ICAPS) (2005)

    Google Scholar 

  11. Mayne, D.Q., Rawlings, J.B., Rao, C.V., Scokaert, P.O.M.: Constrained model predictive control: Stability and optimality. Automatica 36, 789–814 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  12. Musliner, D.J., Durfee, E.H., Shin, K.G.: Circa: A cooperative intelligent real-time control architecture. IEEE Transactions on Systems, Man, and Cybernetics 23, 1561–1574 (1993)

    Article  Google Scholar 

  13. Petti, S., Fraichard, T.: Safe motion planning in dynamic environments. In: IEEE International Conference on Intelligent Robots and Systems (IROS), pp. 3726–3731 (2005)

    Google Scholar 

  14. Ross, I., Gong, Q., Fahroo, F., Kang, W.: Practical stabilization through real-time optimal control. In: American Control Conference, p. 6 (June 2006)

    Google Scholar 

  15. Sánchez, G., Latombe, J.-C.: On delaying collision checking in PRM planning: Application to multi-robot coordination. Int. J. of Rob. Res. 21(1), 5–26 (2002)

    Article  Google Scholar 

  16. Stachniss, C., Burgard, W.: An integrated approach to goal-directed obstacle avoidance under dynamic constraints for dynamic environments. In: IEEE-RSJ Int. Conf. on Intelligent Robots and Systems (IROS), pp. 508–513 (2002)

    Google Scholar 

  17. Stentz, A.: The focussed d* algorithm for real-time replanning. In: Proceedings of the International Joint Conference on Artificial Intelligence (IJCAI) (1995)

    Google Scholar 

  18. van den Berg, J., Ferguson, D., Kuffner, J.: Anytime path planning and replanning in dynamic environments. In: Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), pp. 2366–2371 (May 2006)

    Google Scholar 

  19. van den Berg, J., Overmars, M.: Roadmap-based motion planning in dynamic environments. IEEE Trans. Robot. 21(5), 885–897 (2005)

    Article  Google Scholar 

  20. Zucker, M., Kuffner, J., Branicky, M.: Multipartite rrts for rapid replanning in dynamic environments. In: Proc. IEEE Int. Conf. Robotics and Automation (April 2007)

    Google Scholar 

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Hauser, K. (2010). Adaptive Time Stepping in Real-Time Motion Planning. In: Hsu, D., Isler, V., Latombe, JC., Lin, M.C. (eds) Algorithmic Foundations of Robotics IX. Springer Tracts in Advanced Robotics, vol 68. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17452-0_9

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  • DOI: https://doi.org/10.1007/978-3-642-17452-0_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17451-3

  • Online ISBN: 978-3-642-17452-0

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