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Online Task Planning and Control for Aerial Robots with Fuel Constraints in Winds

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Algorithmic Foundations of Robotics XI

Part of the book series: Springer Tracts in Advanced Robotics ((STAR,volume 107))

Abstract

Real-world applications of aerial robots must consider operational constraints such as fuel level during task planning . This paper presents an algorithm for automatically synthesizing a continuous non-linear flight controller given a complex temporal logic task specification that can include contingency planning rules. Our method is a hybrid controller where fuel level is treated continuously in the low-level and symbolically in the high-level. The low-level controller assumes the availability of a set of point-estimates of wind velocity and builds a continuous interpolation using Gaussian process regression. Fuel burn and aircraft dynamics are modelled under physically realistic assumptions. Our algorithm is efficient and we show empirically that it is feasible for online execution and replanning. We present simulation examples of navigation in a wind field and surveillance with fuel constraints.

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References

  1. Baier, C., Katoen, J.P.: Principles of Model Checking. The MIT Press, Cambridge (2008)

    MATH  Google Scholar 

  2. Belta, C., Bicchi, A., Egerstedt, M., Frazzoli, E., Klavins, E., Pappas, G.: Symbolic planning and control of robot motion. IEEE Robot. Autom. Mag. 14(1), 61–70 (2007)

    Article  Google Scholar 

  3. Bhatia, A., Maly, M., Kavraki, L., Vardi, M.: Motion planning with complex goals. IEEE Robot. Autom. Mag. 18(3), 55–64 (2011)

    Article  Google Scholar 

  4. Chen, Y., Tumova, J., Ulusoy, A., Belta, C.: Temporal logic robot control based on automata learning of environmental dynamics. Int. J. Robot. Res. 32(5), 547–565 (2013)

    Article  Google Scholar 

  5. DeCastro, J., Kress-Gazit, H.: Guaranteeing reactive high-level behaviors for robots with complex dynamics. In: Proceedings of the IEEE/RSJ IROS, pp. 749–756 (2013)

    Google Scholar 

  6. Ding, X., Kloetzer, M., Chen, Y., Belta, C.: Automatic deployment of robotic teams. IEEE Robot. Autom. Mag. 18(3), 75–86 (2011)

    Article  Google Scholar 

  7. Jing, G., Kress-Gazit, H.: Improving the continuous execution of reactive LTL-based controllers. In: Proceedings of the IEEE ICRA, pp. 5419–5425 (2013)

    Google Scholar 

  8. Kress-Gazit, H.: Ensuring correct behavior: formal methods for hardware and software systems [Special Issue]. IEEE Robot. Autom. Mag. 18(3) (2011)

    Google Scholar 

  9. Kress-Gazit, H., Fainekos, G., Pappas, G.: Temporal-logic-based reactive mission and motion planning. IEEE Trans. Robot. 25(6), 1370–1381 (2009)

    Article  Google Scholar 

  10. Lawrance, N.R., Sukkarieh, S.: Autonomous exploration of a wind field with a gliding aircraft. J. Guid. Control. Dyn. 34(3), 719–733 (2011)

    Article  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  12. Pnueli, A., Rosner, R.: On the synthesis of a reactive module. In: Proceedings of ACM Symposium on Principles of Programming Languages, pp. 179–190, ACM Press (1989)

    Google Scholar 

  13. Pnueli, A., Rosnert, R.: Distributed reactive systems are hard to synthesize. In: Proceedings of the IEEE FOCS, pp. 746–757 (1990)

    Google Scholar 

  14. Pnueli, A.: The temporal logic of programs. In: Proceedings of the IEEE FOCS, pp. 46–57 (1977)

    Google Scholar 

  15. Smith, S.L., Tumova, J., Belta, C., Rus, D.: Optimal path planning for surveillance with temporal-logic constraints. Int. J. Robot. Res. 30(14), 1695–1708 (2011)

    Article  Google Scholar 

  16. Ulusoy, A., Marrazzo, M., Oikonomopoulos, K., Hunter, R., Belta, C.: Temporal logic control for an autonomous quadrotor in a nondeterministic environment. In: Proceedings of the IEEE ICRA, pp. 331–336 (2013)

    Google Scholar 

  17. Wolff, E.M., Topcu, U., Murray, R.M.: Efficient reactive controller synthesis for a fragment of linear temporal logic. In: Proceedings of the IEEE ICRA, pp. 5018–5025 (2013)

    Google Scholar 

  18. Wolff, E.M., Topcu, U., Murray, R.M.: Optimal control with weighted average costs and temporal logic specifications. In: Proceedings of the RSS, (2012)

    Google Scholar 

  19. Yoo, C., Fitch, R., Sukkarieh, S.: Probabilistic temporal logic for motion planning with resource threshold constraints. In: Proceedings of RSS (2012)

    Google Scholar 

  20. Yoo, C., Fitch, R., Sukkarieh, S.: Provably-correct stochastic motion planning with safety constraints. In: Proceedings of IEEE ICRA, pp. 981–986 (2013)

    Google Scholar 

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Yoo, C., Fitch, R., Sukkarieh, S. (2015). Online Task Planning and Control for Aerial Robots with Fuel Constraints in Winds. In: Akin, H., Amato, N., Isler, V., van der Stappen, A. (eds) Algorithmic Foundations of Robotics XI. Springer Tracts in Advanced Robotics, vol 107. Springer, Cham. https://doi.org/10.1007/978-3-319-16595-0_41

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  • DOI: https://doi.org/10.1007/978-3-319-16595-0_41

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