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Consensus of High-order Linear Systems with Directed Communication Topology Using LMI Approach

LMI 기법을 이용한 방향성 통신 토폴로지를 갖는 고차 선형시스템들의 상태일치

  • Received : 2011.05.31
  • Accepted : 2011.07.22
  • Published : 2011.10.05

Abstract

This paper deals with the consensus problem for multi-agent linear dynamic systems with directed communication topology. All the agents are identical high-order linear systems and their state information is exchanged through a communication network with directed graph. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems. Examples are presented to show the effectiveness of the proposed method.

Keywords

References

  1. W. Ren, W. Beard, Distributed Consensus in Multivehicle Cooperative Control, Springer, 2008.
  2. J. H. Seo, H. Shim, J. Back, "Consensus of Highorder Linear Systems using Dynamic Output Feedback Compensator : Low Gain Approach", Automatica, Vol. 45, pp. 2656-2664, 2009.
  3. 김수범, 최현철, 김형준, 심형보, 서진헌, "파라미터 불확실성을 갖는 고차 선형시스템들의 상태일치", 정보 및 제어 심포지엄 논문집, 2009년 5월.
  4. 최현철, 김수범, 김성준, 심형보, 서진헌, "통신지연을 갖는 고차 선형시스템들의 상태일치", 정보 및 제어 심포지엄 논문집, 2009년 5월.
  5. S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, 1994.
  6. B. Wie and D.S. Bernstein, Benchmark Problems for Robust Control Design, Proceedings of the 1992 American Control Conference, Chicago, 1992.