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Controller Design of Takagi-Sugeno Fuzzy Model-Based Multi-Agent Systems for State Consensus

타카기-수게노 퍼지모델 기반 다개체 시스템의 상태일치를 위한 제어기 설계

  • Moon, Ji Hyun (Department of Electronic Engineering, Inha University) ;
  • Lee, Ho Jae (Department of Electronic Engineering, Inha University) ;
  • Kim, Do Wan (Department of Electrical Engineering, Hanbat National University)
  • Received : 2012.12.03
  • Accepted : 2013.04.04
  • Published : 2013.04.25

Abstract

This paper addresses a state consensus controller design technique of Takagi-Sugeno fuzzy model-based multi-agent systems in a continuous-time domain. We express the interconnection topology among the agents through graph theory. The design condition is represented in terms of linear matrix inequalities. Numerical example is provided to demonstrate the effectiveness of the proposed method.

본 논문은 연속시간에서의 타카키-수게노 퍼지모델 기반 다개체 시스템의 상태일치를 위한 제어기 설계 기법을 제안한다. 그래프 이론을 통해 각 개체간의 정보를 교환하는 네트워크를 표현한다. 제어기 설계 조건은 선형 행렬 부등식의 형태로 유도되며, 수치적 예제를 통해 제안된 방법의 효율성을 증명한다.

Keywords

References

  1. R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1520-1533, 2004. https://doi.org/10.1109/TAC.2004.834113
  2. 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, 2007. https://doi.org/10.1109/JPROC.2006.887293
  3. M. S. Bang, Y. H. Joo, and S. H. Ji, "Optimal region deployment for cooperative exploration of swarm robots," Journal of Korean Institute of Intelligent Systems, vol. 22, no. 6, pp. 687-693, 2012. https://doi.org/10.5391/JKIIS.2012.22.6.687
  4. H. S. Kim, Y. H. Joo, and J. B. Park, "Formation control for swarm robots using artificial potential field," Journal of Korean Institute of Intelligent Systems, vol. 22, no. 4, pp. 476-480, 2012. https://doi.org/10.5391/JKIIS.2012.22.4.476
  5. P. Wieland, J.-S. Kim, and F. Allgower, "On topology and dynamics of consensus among linear high-order agents," International Journal of Systems Science, vol. 42, no. 10, pp. 1831-1842, 2011. https://doi.org/10.1080/00207721003658202
  6. J. Lee, J.-S. Kim, and H. Shim, "Disc margins of the discrete-time LQR and its application to consensus problem," International Journal of Systems Science, vol. 43, no. 10, pp. 1891-1900, 2012. https://doi.org/10.1080/00207721.2011.555012
  7. J. Wang, Z. Liu, and X. Hu, "Consensus of high order linear multi-agent systems using output error feedback," in Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on. IEEE, 2009, pp. 3685-3690.
  8. P. Wieland, J.-S. Kim, H. Scheu, and F. Allgower, "On consensus in multi-agent systems with linear high-order agents," Proceeding of the 17th World Congress the International Federation of Automatic Control, 2008, pp. 1541-1546.
  9. J. A. Fax and R. M. Murray, "Information flow and cooperative control of vehicle formations," IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1465-1476, 2004. https://doi.org/10.1109/TAC.2004.834433
  10. H. J. Lee, J. B. Park, and G. Chen, "Robust fuzzy control of nonlinear systems with parametric uncertainties," IEEE Transactions on Fuzzy Systems, vol. 9, no. 2, pp. 369-379, 2001. https://doi.org/10.1109/91.919258
  11. K. Tanaka, T. Ikeda, and H. O. Wang, "Fuzzy regulators and fuzzy observers: relaxed stability conditions and lmi-based designs," IEEE Transactions on Fuzzy Systems, vol. 6, no. 2, pp. 250-265, 1998. https://doi.org/10.1109/91.669023
  12. W. Ren, R. W. Beard, and E. M. Atkins, "Information consensus in multivehicle cooperative control," IEEE Control Systems Magazine, vol. 27, no. 2, pp. 71-82, 2007. https://doi.org/10.1109/MCS.2007.338264