전기학회논문지 (The Transactions of The Korean Institute of Electrical Engineers)

  • 제60권3호
  • /
  • Pages.625-631
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  • 2011
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  • 1975-8359(pISSN)
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  • 2287-4364(eISSN)
대한전기학회 (The Korean Institute of Electrical Engineers)
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다 개체 시스템의 상태 일치를 위한 이산 시간 출력 궤환 협조 제어 알고리즘

Discrete-Time Output Feedback Algorithm for State Consensus of Multi-Agent Systems

  • 김재용 (서울대 공대 전기 컴퓨터 공학과) ;
  • 이진영 (삼성전자 반도체연구소) ;
  • 김정수 (서울과학기술대학 제어계측공학과)
  • 투고 : 2010.12.27
  • 심사 : 2011.02.08
  • 발행 : 2011.03.01
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초록

This paper presents a discrete-time output feedback consensus algorithm for Multi-Agent Systems (MAS). Under the assumption that an agent is aware of the relative state information about its neighbors, a state feedback consensus algorithm is designed based on Linear Matrix Inequality (LMI) method. In general, however, it is possible to obtain its relative output information rather than the relative state information. To reconcile this problem, an Unknown Input Observer (UIO) is employed in this paper. To this end, first it is shown that the relative state information can be estimated using the UIO and the measured relative output information. Then a certainty-equivalence type output feedback consensus algorithm is proposed by combining the LMI-based state feedback consensus algorithm with the UIO. Finally, simulation results are given to illustrate that the proposed method successfully achieves the state consensus.

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참고문헌

  1. Fax, J.A. and Murray, R.M. "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
  2. P. Wieland, J.-S. Kim, and F. Allgower, "On topology and dynamics of consensus among linear high-order agents," International Journal of Systems Science, in press, 2011
  3. J. Wang, D. Cheng, and X. Hu. "Consensus of multi-agent linear dynamic systems." Asian Journal of Control, 10, pp. 144-155, 2008 https://doi.org/10.1002/asjc.15
  4. J. Lee and J.-S. Kim, "Discrete Time Consensus Problem using Optimal Control," ICROS-SICE International Joint. Conference. 2009
  5. S. E. Tuna, "LQR-based coupling gain for synchronization of linear systems." Arxiv:0801.3390, 2008
  6. J. Lee and J.-S. Kim, "Disc margins of the discrete-time LQR and its application to consensus problem," International Journal of Systems Science, in press, 2011
  7. J. H. Seo, H. Shim, and J. Back. "Consensus of high-order linear systems using dynamic output feedback compensator: low gain approach." IEEE Transactions on Automatica Control, 11, pp. 2659-2664, 2009
  8. M. Darouach, M. Zasadzinski, and S. J. Xu, "Full-order observers for linear systems with unknown inputs," IEEE Transactions on Automatic Control, vol. 39, no. 3, pp. 606-609, 1994 https://doi.org/10.1109/9.280770
  9. P. Wieland and F. Allgower, "On Consensus among Identical Linear Systems using Input-Decoupled Functional Observers," in Proc. Amer. Control Conference, pp. 1641-1646, 2010
  10. P. Wieland, "From static to dynamic couplings in consensus and synchronization among identical and non-identical systems", Ph.D Thesis, University of Stuttgart, 2010
  11. Reinhard Diestel, "Graph Theory", 4th Ed., Springer-Verlag, 2010
  12. J. Lee, "Discrete-time consensus algorithms design using optimal control", Master Thesis, Seoul National University, 2010