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Synchronous Rendezvous for Networks of Active Drifters in Gyre Flows

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Distributed Autonomous Robotic Systems

Part of the book series: Springer Proceedings in Advanced Robotics ((SPAR,volume 9))

Abstract

We develop a synchronous rendezvous strategy for a network of minimally actuated mobile sensors or active drifters. The drifters are tasked to monitor a set of Lagrangian Coherent Structure (LCS) bounded regions, each exhibiting gyre-like flows. This paper examines the conditions under which a pair of neighboring agents achieves synchronous rendezvous by leveraging the environmental dynamics in their monitoring region. The objective is to enable drifters in adjacent LCS bounded regions to rendezvous in a periodic fashion to exchange and fuse sensor data. We propose an agent-level control strategy to regulate the drifter speed in each monitoring region so as to maximize the time the drifters are connected and able to communicate at every rendezvous. The strategy utilizes minimal actuation to ensure synchronization between neighboring pairs of drifters to ensure periodic rendezvous. The intermittent synchronization policy enables a locally connected network of minimally actuated mobile sensors to converge to a common orbit frequency.

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Notes

  1. 1.

    Noise can arise from uncertainty in model parameters and/or measurement noise.

  2. 2.

    For the full animation visit http://svs.gsfc.nasa.gov/vis/a000000/a003800/a003827/.

References

  1. Athans, M., Falb, P.L.: Optimal Control: An Introduction to the Theory and its Applications. Dover Publications, Mineola (2007)

    Google Scholar 

  2. Bhadauria, D., Tekdas, O., Isler, V.: Robotic data mules for collecting data over sparse sensor fields. J. Field Robot. 28(3), 388–404 (2011). https://doi.org/10.1002/rob.20384

    Article  MATH  Google Scholar 

  3. Buck, J., Buck, E.: Mechanism of rhythmic synchronous flashing of fireflies. Science 159, 1319–1327 (1968)

    Article  Google Scholar 

  4. Forgoston, E., Billings, L., Yecko, P., Schwartz, I.B.: Set-based corral control in stochastic dynamical systems: making almost invariant sets more invariant. Chaos 21, 013116 (2011)

    Article  MathSciNet  Google Scholar 

  5. Gazi, V., Passino, K.M.: Stability analysis of swarms. IEEE Trans. Autom. Control. 48(4), 692–696 (2003)

    Article  MathSciNet  Google Scholar 

  6. Haller, G.: A variational theory of hyperbolic Lagrangian coherent structures. Phys. D Nonlinear Phenom. 240, 574–598 (2011)

    Article  MathSciNet  Google Scholar 

  7. Hsieh, M.A., Mallory, K., Forgoston, E., Schwartz, I.B.: Distributed allocation of mobile sensing agents in geophysical flows. In: Proceedings of American Control Conference, pp. 165–171 (2014)

    Google Scholar 

  8. Hsieh, M.A., Hajieghrary, H., Kularatne, D., Heckman, C.R., Forgoston, E., Schwartz, I.B., Yecko, P.A.: Small and adrift with self-control: using the environment to improve autonomy. Robotics Research, pp. 387–402. Springer, Cham (2015)

    Google Scholar 

  9. Inanc, T., Shadden, S., Marsden, J.: Optimal trajectory generation in ocean flows. In: Proceedings of American Control Conference, pp. 674 – 679 (2005)

    Google Scholar 

  10. Papachristodoulou, A., Jadbabaie, A.: Synchronization in oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamics. In: Proceedings of the 45th IEEE Conference on Decision and Control, pp. 4307–4312 (2006)

    Google Scholar 

  11. Pikovsky, A., Rosenblum, M., Kurths, J.: Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge University Press, Cambridge (2001)

    Book  Google Scholar 

  12. Sepulchre, R., Paley, D., Leonard, N.: Collective motion and oscillator synchronization. In: Morse, S., Leonard, N., Kumar, V. (eds.) Cooperative Control. Lecture Notes in Control and Information Sciences, pp. 189–206. Springer, Berlin (2004)

    Chapter  Google Scholar 

  13. Shadden, S.C., Lekien, F., Marsden, J.E.: Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Phys. D Nonlinear Phenom. 212(3–4), 271–304 (2005)

    Article  MathSciNet  Google Scholar 

  14. Shuai, J.W., Durand, D.M.: Phase synchronization in two coupled chaotic neurons. Phys. Lett. A 264, 289–297 (1999)

    Article  MathSciNet  Google Scholar 

  15. Sugihara, R., Gupta, R.K.: Path planning of data mules in sensor networks. ACM Trans. Sens. Netw. 8(1), 1:1–1:27 (2011). https://doi.org/10.1145/1993042.1993043

    Article  Google Scholar 

  16. Veronis, G.: Wind-driven ocean circulation, Part I and Part II. Deep-Sea Res. 13, 31–55 (1966)

    Google Scholar 

  17. Wei, C., Li, C., Tanner, H.G.: Synchronous rendezvous for periodically orbiting vehicles with very-low-range interactions. In: Proceedings of American Control Conference, pp. 1641–1646 (2018)

    Google Scholar 

  18. Zavlanos, M.M.: Synchronous rendezvous of very-low-range wireless agents. In: Proceedings of the 49th IEEE Conference on Decision and Control, pp. 4740–4745 (2010)

    Google Scholar 

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Acknowledgements

This work was supported by the Office of Naval Research (ONR) grant N000141712690.

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Correspondence to Xi Yu or M. Ani Hsieh .

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Wei, C., Yu, X., Tanner, H.G., Hsieh, M.A. (2019). Synchronous Rendezvous for Networks of Active Drifters in Gyre Flows. In: Correll, N., Schwager, M., Otte, M. (eds) Distributed Autonomous Robotic Systems. Springer Proceedings in Advanced Robotics, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-030-05816-6_29

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