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Sparse Sensing in Ergodic Optimization

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Distributed Autonomous Robotic Systems (DARS 2022)

Part of the book series: Springer Proceedings in Advanced Robotics ((SPAR,volume 28))

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Abstract

This paper presents a novel, sparse sensing motion planning algorithm for autonomous mobile robots in resource limited coverage problems. Optimizing usage of limited resources while effectively exploring an area is vital in scenarios where sensing is expensive, has adverse effects, or is exhaustive. We approach this problem using ergodic search techniques, which optimize how long a robot spends in a region based on the likelihood of obtaining informative measurements which guarantee coverage of a space. We recast the ergodic search problem to take into account when to take sensing measurements. This amounts to a mixed-integer program that optimizes when and where a sensor measurement should be taken while optimizing the agent’s paths for coverage. Using a continuous relaxation, we show that our formulation performs comparably to dense sampling methods, collecting information-rich measurements while adhering to limited sensing measurements. Multi-agent examples demonstrate the capability of our approach to automatically distribute sensor resources across the team. Further comparisons show comparable performance with the continuous relaxation of the mixed-integer program while reducing computational resources.

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References

  1. Marín, L., Vallés, M., Soriano, A., Valera, A., Albertos, P.: Multi sensor fusion framework for indoor-outdoor localization of limited resource mobile robots. Sensors 13(10), 14133–14160 (2013). https://doi.org/10.3390/s131014133. https://www.mdpi.com/1424-8220/13/10/14133

  2. Ma, F., Carlone, L., Ayaz, U., Karaman, S.: Sparse sensing for resource-constrained depth reconstruction. In: 2016 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 96–103 (2016). https://doi.org/10.1109/IROS.2016.7759040

  3. Ablavsky, V., Snorrason, M.: Optimal search for a moving target - a geometric approach. In: AIAA Guidance, Navigation, and Control Conference and Exhibit. AIAA (2000)

    Google Scholar 

  4. Choset, H.: Coverage for robotics-a survey of recent results. Ann. Math. Artif. Intell. 31(1), 113–126 (2001)

    Article  Google Scholar 

  5. Lanillos, P., Gan, S.K., Besada-Portas, E., Pajares, G., Sukkarieh, S.: Multi-UAV target search using decentralized gradient-based negotiation with expected observation. Inf. Sci. 282, 92–110 (2014)

    Article  MathSciNet  Google Scholar 

  6. Baxter, J.L., Burke, E.K., Garibaldi, J.M., Norman, M.: Multi-robot search and rescue: a potential field based approach. In: Mukhopadhyay, S.C., Gupta, G.S. (eds.) Autonomous Robots and Agents. Studies in Computational Intelligence, vol. 76, pp. 9–16. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-73424-6_2

    Chapter  Google Scholar 

  7. Wong, E.M., Bourgault, F., Furukawa, T.: Multi-vehicle bayesian search for multiple lost targets. In: International Conference on Robotics and Automation, pp. 3169–3174. IEEE (2005)

    Google Scholar 

  8. Mathew, G., Mezić, I.: Metrics for ergodicity and design of ergodic dynamics for multi-agent systems. Physica D 240(4), 432–442 (2011)

    Article  Google Scholar 

  9. Wu, G.D., Zhu, Z.W., Chien, C.W.: Sparse-sensing-based wall-following control design for a mobile-robot. In: 2016 IEEE International Conference on Control and Robotics Engineering (ICCRE), pp. 1–5 (2016). https://doi.org/10.1109/ICCRE.2016.7476144

  10. Miller, L.M., Silverman, Y., MacIver, M.A., Murphey, T.D.: Ergodic exploration of distributed information. IEEE Trans. Rob. 32(1), 36–52 (2015)

    Article  Google Scholar 

  11. Abraham, I., Mavrommati, A., Murphey, T.: Data-driven measurement models for active localization in sparse environments. In: Robotics: Science and Systems XIV. Robotics: Science and Systems Foundation (2018). https://doi.org/10.15607/RSS.2018.XIV.045

  12. Abraham, I., Prabhakar, A., Murphey, T.D.: An ergodic measure for active learning from equilibrium. IEEE Trans. Autom. Sci. Eng. 18(3), 917–931 (2021). https://doi.org/10.1109/TASE.2020.3043636

    Article  Google Scholar 

  13. Ayvali, E., Salman, H., Choset, H.: Ergodic coverage in constrained environments using stochastic trajectory optimization. In: International Conference on Intelligent Robots and Systems, pp. 5204–5210. IEEE (2017)

    Google Scholar 

  14. Miller, L.M., Murphey, T.D.: Trajectory optimization for continuous ergodic exploration. In: American Control Conference (ACC) 2013, pp. 4196–4201. IEEE (2013)

    Google Scholar 

  15. Kobilarov, M.: Cross-entropy motion planning. The Int. J. Robot. Res. 31(7), 855–871 (2012)

    Article  Google Scholar 

  16. Schmidt, M., Niculescu-Mizil, A., Murphy, K., et al.: Learning graphical model structure using l1-regularization paths. In: AAAI, vol. 7, pp. 1278–1283 (2007)

    Google Scholar 

  17. Wolsey, L.A.: Mixed Integer Programming. Wiley Encyclopedia of Computer Science and Engineering, pp. 1–10. Wiley, Hoboken (2007)

    Google Scholar 

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Correspondence to Ananya Rao .

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Rao, A., Abraham, I., Sartoretti, G., Choset, H. (2024). Sparse Sensing in Ergodic Optimization. In: Bourgeois, J., et al. Distributed Autonomous Robotic Systems. DARS 2022. Springer Proceedings in Advanced Robotics, vol 28. Springer, Cham. https://doi.org/10.1007/978-3-031-51497-5_9

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