Distributed Control Scheme for Online Workload Partition

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Cooperative Coverage Control of Multi-Agent Systems and its Applications

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 408 ))

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Abstract

In this chapter, we consider workload partition problems in order to dynamically sweep an uncertain region by multiple mobile agents. A distributed algorithm for mobile agents is designed to yield equal workload in each subregion by partitioning the entire region in real time. Due to the uncertainty in the region, the agents do not have the global environment information. Instead, they have to update their trajectories in real time when they move forward in order to guarantee accurate workload partition and minimize the time to complete the dynamic coverage. With the aid of input-to-state stability, we estimate the partition error for the proposed partition algorithm. Finally, simulation results demonstrate the feasibility of the distributed algorithm.

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References

  1. Hong, Y., Hu, J., Gao, L.: Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42(7), 1177–1182 (2006)

    Article  MathSciNet  Google Scholar 

  2. Wang, X., Hong, Y., Jiang, Z.: Coverage tracking of a moving target by a group of mobile agents. In: Proceedings of Asian Control Conference, pp. 27–29 (2009)

    Google Scholar 

  3. Olfati-Saber, R., Murray, R.M.: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control 49(9), 1520–1533 (2004)

    Article  MathSciNet  Google Scholar 

  4. Hussein, I.I., Stipanović, D.M.: Effective coverage control for mobile sensor networks with guaranteed collision avoidance. IEEE Trans. Control Syst. Technol. 15(4), 642–657 (2007)

    Article  Google Scholar 

  5. Gage, D.W.: Command control for many-robot systems. In: AUVS-92, the Nineteenth Annual AUVS Technical Symposium, pp. 22–24 (1992)

    Google Scholar 

  6. Cheng, T.M., Savkin, A.V.: A distributed self-deployment algorithm for the coverage of mobile wireless sensor networks. IEEE Commun. Lett. 13(11), 877–879 (2009)

    Article  Google Scholar 

  7. Howard, A., Parker, L., Sukhatme, G.: Experiments with a large heterogeneous mobile robot team: exploration, map**, deployment and detection. Int. J. Robot. Res. 25(5), 431–447 (2006)

    Article  Google Scholar 

  8. Casbeer, D., Kingston, D., Beard, R., Mclain, T., Li, S., Mehra, R.: Cooperative forest fire surveillance using a team of small unmanned air vehicles. Int. J. Syst. Sci. 37(6), 351–360 (2006)

    Article  Google Scholar 

  9. Schwager, M., McLurkin, J., Rus, D.: Distributed coverage control with sensory feedback for networked robots. In: Proceedings of Robotics: Science and Systems, pp. 49–56 (2006)

    Google Scholar 

  10. Du, Q., Faber, V., Gunzburger, M.: Centroidal Voronoi tesseuations: applications and algorithms. SIAM Rev. 41(4), 637–676 (1999)

    Article  MathSciNet  Google Scholar 

  11. Pavone, M., Frazzoli, E., Bullo, F.: Distributed policies for equitable partitioning: theory and applications. In: Proceedings of IEEE Conference on Decision and Control, pp. 4191–4197 (2008)

    Google Scholar 

  12. Cortés, J., Martínez, S., Karatas, T., Bullo, F.: Coverage control for mobile sensing network. IEEE Trans. Autom. Control 20(2), 243–255 (2004)

    Google Scholar 

  13. Gray, R.M., Neuhoff, D.L.: Quantization. IEEE Trans. Inf. Theory 44(6), 2325–2383 (1998)

    Article  Google Scholar 

  14. Luna, J., Fierro, R., Abdallah, C., Wood, J.: An adaptive coverage control algorithm for deployment of nonholonomic mobile sensors. In: Proceedings of IEEE Conference on Decision and Control, pp. 1250–1256 (2010)

    Google Scholar 

  15. Sontag, E.: On the input-to-state stability property. Eur. J. Control. 1, 24–36 (1995)

    Article  Google Scholar 

  16. Khalil, H.K.: Nonlinear Systems, 3rd edn. Prentice Hall (2002)

    Google Scholar 

Download references

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Correspondence to Chao Zhai .

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Zhai, C., Zhang, HT., **ao, G. (2021). Distributed Control Scheme for Online Workload Partition. In: Cooperative Coverage Control of Multi-Agent Systems and its Applications. Studies in Systems, Decision and Control, vol 408 . Springer, Singapore. https://doi.org/10.1007/978-981-16-7625-3_2

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