전자공학회논문지SC (Journal of the Institute of Electronics Engineers of Korea SC)

대한전자공학회 (The Institute of Electronics and Information Engineers)
권호 표지

다중 패킷을 전송하는 네트워크 제어시스템의 안정성 분석

Stability Analysis of a Networked Control System with Multiple Packet Transmission

  • 정준홍 (한전KDN(주) 전력IT연구원) ;
  • 박기헌 (성균관대학교 정보통신공학부) ;
  • 이재호 (성균관대학교 정보통신공학부)
  • Jung, Joon-Hong (Research and Development Department, Korea Electric Power Data Network Co., Ltd.) ;
  • Park, Ki-Heon (School of Information and Communication Engineering, Sungkyunkwan University) ;
  • Lee, Jae-Ho (School of Information and Communication Engineering, Sungkyunkwan University)
  • 발행 : 2007.09.25
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⟨ 이전 논문 다음 논문 ⟩

초록

본 논문에서는 다중 패킷을 전송하는 네트워크 제어시스템을 대상으로, 전체 시스템의 안정성 변화를 분석할 수 있는 새로운 방법을 제안하였다. 먼저, 메시지의 최대 시간 지연을 보장할 수 있는 스케쥴링 방식과 데이터 손실을 나타낼 수 있는 이산 스위치 상태방정식을 새롭게 제시하였으며, 이를 이용하여 네트워크 제어시스템과 등가인 비동기 시스템(asynchronous dynamical system)을 유도하였다. 이후, 제어기의 샘플링 주기, 시간 지연, 데이터 전송 성공률, 전송 패킷의 개수에 따라 변화하는 네트워크 제어시스템의 안정성을 판별할 수 있도록 새로운 정리들을 제안하였다. 마지막으로, Batch Reactor 시스템을 대상으로 제안한 정리들을 적용하여 시뮬레이션하고 그 결과를 분석함으로써 본 논문에서 제안한 안정성 분석 방법의 타당성을 입증하였다.

The main objective of this paper is to propose a new stability analysis method for a networked control system with multiple packet transmission. The new scheduling method that can guarantee the maximum time delay and discrete switch state equation model which represent a network data loss is proposed. The equivalent model of a MIMO(multi-input multi-output) networked control system is derived from a state space model of linear time invariant interconnected systems in the form of asynchronous dynamical system. Using this model, this paper presents new stability theorems that can determine stability of the networked control system with regard to time delay, data loss, and the number of transmission packets. Simulation results verify the effectiveness of proposed stability analysis method.

키워드

참고문헌

  1. Yodyium Tipsuwan and Mo-Yuen Chow, 'Control Methodologies in Networked Control Systems,' Control Engineering Practice, vol. 11, issue 5, pp. 483-492, May 2003 https://doi.org/10.1016/S0967-0661(02)00095-3
  2. T.C. Yang, 'Networked Control System:A Brief Survey,' IEE Proceedings-Control Theory and Applications, vol. 153, issue 4, pp. 403-412, July 2006
  3. Michael S. Branicky, Stephen M. Phillips, and Wei Zhang, 'Stability of Networked Control Systems:Explicit Analysis of Delay,' Proceedings of America Control Conference, Chicago, IL, pp. 2352-2357, June 2000
  4. Wei Zhang, Michael S. Branicky, and Stephen M. Phillips, 'Stability of Networked Control Systems,' IEEE Control Systems Magazine, vol. 21. no. 1, pp. 84-99, Feb. 2001 https://doi.org/10.1109/37.898794
  5. Gregory C. Walsh, Hong Ye, and Linda G. Bushnell, 'Stability Analysis of Networked Control Systems,' IEEE Transactions on Control Systems Technology, vol. 10, no. 3, pp. 438-446, May 2002 https://doi.org/10.1109/87.998034
  6. D. Nesic and A.R. Teel, 'Input-Output Stability Properties of Networked Control Systems,' IEEE Transactions on Automatic Control, vol. 49, no. 10, pp. 1650-1667, Oct. 2004 https://doi.org/10.1109/TAC.2004.835360
  7. Feng-Li Lian, James Moyne, and Dawn Tilbury, 'Modelling and Optimal Controller Design of Networked Control Systems with Multiple Delays,' International Journal of Control, vol. 79, no. 6, pp. 591-606, June 2003
  8. Luis A. Montestruque and Panos Antsaklis, 'Stability of Model-Based Networked Control Systems with Time-Varying Transmission Times,' IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1562-1572, Sep. 2004 https://doi.org/10.1109/TAC.2004.834107
  9. Arash Hassibi, Stephen P. Boyd, and Jonathan P. How, 'Control of Asynchronous Dynamical Systems with Rate Constraints on Events,' Proceedings of 38th Conference on Decision & Control, Phoenix, AZ, pp. 1345-1351, Dec. 1999
  10. Dong Yue, Qing-Long Han, and Chen Peng, 'State Feedback Controller Design of Networked Control Systems,' IEEE Transactions on Circuits and Systems, vol. 51, no. 11, pp. 640-644, Nov. 2004
  11. 정준홍, 최수영, 박기헌, '시간 지연과 데이터 손실을 고려한 네트워크 제어시스템의 안정도 분석,' 대한전기학회논문지, 제53D권, 제10호, 678- 689쪽, 2004년 10월
  12. Karl J. Astrom and B. Wittenmark, Computer-Controlled Systems:Theory and Design, 3rd ed. Upper Saddle River, NJ:Prentice-Hall, 1997
  13. Kiheon Park, 'On the Equivalence Condition of Internal and External Stability of Linear Time-Invariant Interconnected Systems,' KIEE, vol. 9, no. 3, pp. 166-170, 1996