Journal of information and communication convergence engineering

The Korea Institute of Information and Commucation Engineering (한국정보통신학회)
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Observer-based Distributed Consensus Algorithm for Multi-agent Systems with Output Saturations

  • Lim, Young-Hun (Department of Electronic Engineering, Gyeongnam National University of Science and Technology) ;
  • Lee, Gwang-Seok (Department of Electronic Engineering, Gyeongnam National University of Science and Technology)
  • Received : 2018.11.26
  • Accepted : 2019.09.24
  • Published : 2019.09.30
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Abstract

This study investigates the problem of leader-following consensus for multi-agent systems with output saturations. This study assumes that the agents are described as a neutrally stable system, and the leader agent generates the bounded trajectory within the saturation level. Then, the objective of the leader-following consensus is to track the trajectory of the leader by exchanging information with neighbors. To solve this problem, we propose an observer-based distributed consensus algorithm. Then, we provide a consensus analysis by applying the Lyapunov stability theorem and LaSalle's invariance principle. The result shows that the agents achieve the leader-following consensus in a global sense. Moreover, we can achieve the consensus by choosing any positive control gain. Finally, we perform a numerical simulation to demonstrate the validity of the proposed algorithm.

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References

  1. R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proceedings of the IEEE, vol. 95, no. 1, pp. 215-233, Jan. 2007. DOI: 10.1109/JPROC.2006.887293.
  2. K. K. Oh, M. C. Park, and H. S. Ahn, "A survey of multi-agent formation control," Automatica, vol. 53, pp. 424-440, 2015. DOI: 10.1016/j.automatica.2014.10.022.
  3. T. Hu and Z. Lin, Control Systems with Actuator Saturation: Analysis and Design, Boston, MA: Birkhauser, 2001.
  4. Y. Li, J. Xiang, and W. Wei, "Consensus problem for linear time-invariant multi-agent systems with saturation constraints," IET Control Theory & Applications, vol. 5, no. 6, pp. 823-829, 2011. DOI: 10.1049/iet-cta.2009.0299.
  5. W. Ren, "On consensus algorithms for double-integrator dynamics," IEEE Transactions on Automatic Control, vol. 58, no. 6, pp. 1503-1509. DOI: 10.1109/TAC.2008.924961.
  6. Q. Wang, C. Yu, and H. Gao, "Semiglobal synchronization of multiple generic linear agents with input saturation," International Journal of Robust and Nonlinear Control, vol. 24, no. 18, pp. 3239-3254. DOI: 10.1002/rnc.3053.
  7. Y. H. Lim and H. S. Ahn, "Partial consensus of identical feedforward dynamic systems with input saturations," International Journal of Robust and Nonlinear Control, vol. 26, no. 11, pp. 2494-2510, 2016. DOI: 10.1002/rnc.3410.
  8. Z. Meng, Z. Zhao, and Z. Lin, "On global leader-following consensus of identical linear dynamic systems subject to actuator saturations," Systems & Control Letters, vol. 62, no. 2, pp. 132-142, 2013. DOI: 10.1016/j.sysconle.2012.10.016.
  9. H. Su, M. Z. Chen, J. Lam, and Z. Lin, "Semi-global leader-following consensus of linear multi-agent systems with input saturation via low gain feedback," IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 60, no. 7, pp. 1881-1889, 2013. DOI: 10.1109/TCSI.2012.2226490.
  10. Z. X. Liu and Z. Q. Chen, "Discarded consensus of network of agents with state constraint," IEEE Transactions on Automatic Control, vol. 57, no. 11, pp. 2869-2874, 2012. DOI: 10.1109/TAC. 2012.2190199.
  11. Q. Wang and C. Sun, "Conditions for consensus in directed networks of agents with heterogeneous output saturations," IET Control Theory & Applications, vol. 10, no. 16, pp. 2119-2127, 2016. https://doi.org/10.1049/iet-cta.2016.0386
  12. Y. H. Lim and H. S. Ahn, "Consensus with output saturations," IEEE Transactions on Automatic Control, vol. 62, no. 10, pp. 5388-5395, 2016. DOI: 10.1049/iet-cta.2016.0386.
  13. Q. Wang, "Scaled consensus of multi-agent systems with output saturation," Journal of the Franklin Institute, vol. 354, no. 14, pp. 6190-6199, 2017. DOI: 10.1016/j.franklin.2017.07.018.
  14. Y. H. Lim, K. K. Oh, and H. S. Ahn, "Leader-following output consensus and regulation of identical agents with output saturations," in Proceeding of 2014 European Control Conference (ECC), Strasbourg, pp. 862-867, 2014. DOI: 10.1109/ECC.2014.6862296.
  15. Z. Li, Z. Duan, G. Chen, and L. Huang, "Consensus of multiagent systems and synchronization of complex networks: A unified viewpoint," IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 57, no. 1, pp. 213-224, 2010. DOI: 10.1109/TCSI.2009.2023937.
  16. H. Su, M. Z. Q. Chen, X. Wang, and J. Lam, "Semiglobal observerbased leader-following consensus with input saturation," IEEE Transactions on Industrial Electronics, vol. 61, no. 6, pp. 2842-2850, 2014. DOI: 10.1109/TIE.2013.2275976.
  17. L. Zhang, M. Z. Q. Chen, and H. Su, "Observer-based semi-global consensus of discrete-time multi-agent systems with input saturation," Transactions of the Institute of Measurement and Control, vol. 38, no. 6, pp. 665-674, 2016. DOI: 10.1177/0142331215617523.

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  1. Observer-Based Consensus Control for Heterogeneous Multi-Agent Systems with Output Saturations vol.11, pp.10, 2019, https://doi.org/10.3390/app11104345