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An Adaptive Multi-resolution State Lattice Approach for Motion Planning with Uncertainty

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Robot 2015: Second Iberian Robotics Conference

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 417))

Abstract

In this paper we present a reliable motion planner that takes into account the kinematic restrictions, the shape of the robot and the motion uncertainty along the path. Our approach is based on a state lattice that predicts the uncertainty along the paths and obtains the one which minimizes both the probability of collision and the cost. The uncertainty model takes into account the stochasticity in motion and observations and the corrective effect of using a Linear Quadratic Gaussian controller. Moreover, we introduce an adaptive multi-resolution lattice that selects the most adequate resolution for each area of the map based on its complexity. Experimental results, for several environments and robot shapes, show the reliability of the planner and the effectiveness of the multi-resolution approach for decreasing the complexity of the search.

A. Bugarín—This work was supported by the Spanish Ministry of Economy and Competitiveness under projects TIN2011-22935, TIN2011-29827-C02-02 and TIN2014-56633-C3-1-R, and the Galician Ministry of Education under the projects EM2014/012 and CN2012/151. A. González-Sieira is supported by a FPU grant (ref. AP2012-5712) from the Spanish Ministry of Education, Culture and Sports.

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References

  1. Alterovitz, R., Siméon, T., Goldberg, K.: The stochastic motion roadmap: a sampling framework for planning with Markov motion uncertainty. In: Robotics: Science and Systems, pp. 246–253 (2007)

    Google Scholar 

  2. Bry, A., Roy, N.: Rapidly-exploring random belief trees for motion planning under uncertainty. In: IEEE International Conference on Robotics and Automation (ICRA), pp. 723–730 (2011)

    Google Scholar 

  3. González-Sieira, A., Mucientes, M., Bugarín, A.: Anytime motion replanning in state lattices for wheeled robots. In: Workshop on Physical Agents (WAF), pp. 217–224 (2012)

    Google Scholar 

  4. Kaelbling, L.P., Littman, M.L., Cassandra, A.R.: Planning and acting in partially observable stochastic domains. Artificial intelligence 101(1), 99–134 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  5. Knepper, R., Kelly, A.: High performance state lattice planning using heuristic look-up tables. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 3375–3380 (2006)

    Google Scholar 

  6. LaValle, S.M.: Planning Algorithms. Cambridge University Press, Cambridge (2006)

    Book  MATH  Google Scholar 

  7. LaValle, S.M., Kuffner, J.J.: Randomized kinodynamic planning. The International Journal of Robotics Research 20(5), 378–400 (2001)

    Article  Google Scholar 

  8. Likhachev, M., Ferguson, D.: Planning Long Dynamically Feasible Maneuvers for Autonomous Vehicles. The International Journal of Robotics Research 28(8), 933–945 (2009)

    Article  Google Scholar 

  9. 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), pp. 262–271 (2005)

    Google Scholar 

  10. Melchior, N.A., Simmons, R.: Particle RRT for path planning with uncertainty. In: IEEE International Conference on Robotics and Automation (ICRA), pp. 1617–1624 (2007)

    Google Scholar 

  11. Papadimitriou, C.H., Tsitsiklis, J.N.: The complexity of Markov decision processes. Mathematics of operations research 12(3), 441–450 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  12. Pivtoraiko, M., Kelly, A.: Differentially constrained motion replanning using state lattices with graduated fidelity. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 2611–2616 (2008)

    Google Scholar 

  13. Pivtoraiko, M., Knepper, R.A., Kelly, A.: Differentially constrained mobile robot motion planning in state lattices. Journal of Field Robotics 26(3), 308–333 (2009)

    Article  Google Scholar 

  14. Rodriguez-Mier, P., Gonzalez-Sieira, A., Mucientes, M., Lama, M., Bugarin, A.: Hipster: An open source java library for heuristic search. In: 2014 9th Iberian Conference on Information Systems and Technologies (CISTI), pp. 1–6. IEEE (2014)

    Google Scholar 

  15. Van Den Berg, J., Abbeel, P., Goldberg, K.: LQG-MP: Optimized path planning for robots with motion uncertainty and imperfect state information. The International Journal of Robotics Research 30(7), 895–913 (2011)

    Article  Google Scholar 

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González-Sieira, A., Mucientes, M., Bugarín, A. (2016). An Adaptive Multi-resolution State Lattice Approach for Motion Planning with Uncertainty. In: Reis, L., Moreira, A., Lima, P., Montano, L., Muñoz-Martinez, V. (eds) Robot 2015: Second Iberian Robotics Conference. Advances in Intelligent Systems and Computing, vol 417. Springer, Cham. https://doi.org/10.1007/978-3-319-27146-0_20

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  • DOI: https://doi.org/10.1007/978-3-319-27146-0_20

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  • Online ISBN: 978-3-319-27146-0

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