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Combined Trajectory Generation and Path Planning for Mobile Robots Using Lattices with Hybrid Dimensionality

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Robot Intelligence Technology and Applications 2

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 274))

Abstract

Safe navigation for mobile robots in unstructured and dynamic environments is still a challenging research topic. Most approaches use separate algorithms for global path planning and local obstacle avoidance. However, this generally results in globally sub-optimal navigation strategies. In this paper, we present an algorithm which combines these two navigation tasks in a single integrated approach. For this purpose, we introduce a novel search space, namely, a × lattice with hybrid dimensionality. We describe a procedure for generating high-quality motion primitives for a mobile robot with four-wheel steering to define the motion in this lattice. Our algorithm computes a hybrid solution for the path planning problem consisting of a trajectory (i.e., a path with time component) in the imminent future, a dynamically feasible path in the near future, and a kinematically feasible path for the remaining time to the goal. Finally, we provide some results of our algorithm in action to prove its high solution quality and real-time capability.

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References

  1. Dolgov, D., Thrun, S., Montemerlo, M., Diebel, J.: Path planning for autonomous vehicles in unknown semi-structured environments. The International Journal of Robotics Research 29(5), 485–501 (2010)

    Article  Google Scholar 

  2. 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 

  3. Kavraki, L.E., Švestka, P., Latombe, J.C., Overmars, M.H.: Probabilistic roadmaps for path planning in high-dimensional configuration spaces. IEEE Transactions on Robotics and Automation 12(4), 566–580 (1996)

    Article  Google Scholar 

  4. LaValle, S.M., Kuffner Jr., J.J.: Randomized kinodynamic planning. The International Journal of Robotics Research 20(5), 387–400 (2001)

    Article  Google Scholar 

  5. 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 

  6. Ziegler, J., Stiller, C.: Spatiotemporal state lattices for fast trajectory planning in dynamic on-road driving scenarios. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (2009)

    Google Scholar 

  7. Kushleyev, A., Likhachev, M.: Time-bounded lattice for efficient planning in dynamic environments. In: Proceedings of the IEEE International Conference on Robotics and Automation (2009)

    Google Scholar 

  8. Petereit, J., Emter, T., Frey, C.W.: Safe mobile robot motion planning for waypoint sequences in a dynamic environment. In: Proceedings of the IEEE International Conference on Information Technology (2013)

    Google Scholar 

  9. Petereit, J., Emter, T., Frey, C.W.: Mobile robot motion planning in multi-resolution lattices with hybrid dimensionality. In: Proceedings of the IFAC Intelligent Autonomous Vehicles Symposium (2013)

    Google Scholar 

  10. Gochev, K., Cohen, B., Butzke, J., Safonova, A., Likhachev, M.: Path planning with adaptive dimensionality. In: Proceedings of the Symposium on Combinatorial Search (2011)

    Google Scholar 

  11. Bicchi, A., Marigo, A., Piccoli, B.: On the reachability of quantized control systems. IEEE Transactions on Automatic Control 47(4), 546–563 (2002)

    Article  MathSciNet  Google Scholar 

  12. Rufli, M., Siegwart, R.: On the design of deformable input- / state-lattice graphs. In: Proceedings of the IEEE International Conference on Robotics and Automation (2010)

    Google Scholar 

  13. Kelly, A., Nagy, B.: Reactive nonholonomic trajectory generation via parametric optimal control. The International Journal of Robotics Research 22(7-8), 583–601 (2003)

    Article  Google Scholar 

  14. Likhachev, M., Gordon, G., Thrun, S.: ARA*: Anytime A* search with provable bounds on sub-optimality. In: Proceedings of the Conference on Neural Information Processing Systems (2003)

    Google Scholar 

  15. Koenig, S., Likhachev, M.: Fast replanning for navigation in unknown terrain. IEEE Transactions on Robotics and Automation 21(3), 354–363 (2005)

    Article  Google Scholar 

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Correspondence to Janko Petereit .

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Petereit, J., Emter, T., Frey, C.W. (2014). Combined Trajectory Generation and Path Planning for Mobile Robots Using Lattices with Hybrid Dimensionality. In: Kim, JH., Matson, E., Myung, H., Xu, P., Karray, F. (eds) Robot Intelligence Technology and Applications 2. Advances in Intelligent Systems and Computing, vol 274. Springer, Cham. https://doi.org/10.1007/978-3-319-05582-4_14

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  • DOI: https://doi.org/10.1007/978-3-319-05582-4_14

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-05581-7

  • Online ISBN: 978-3-319-05582-4

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