Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Decentralized Fuzzy Output Feedback Control of Nonlinear Networked Control Systems for Wireless Sensor Network

무선 센서 네트워크를 위한 비선형 네트워크 제어 시스템의 출력 궤환 분산 퍼지 제어기 설계

  • 주영훈 (군산대학교 전자정보공학부) ;
  • 나인호 (군산대학교 전자정보공학부) ;
  • 구근범 (연세대학교 전기전자공학과) ;
  • 박진배 (연세대학교 전기전자공학과)
  • Received : 2009.04.06
  • Accepted : 2009.06.05
  • Published : 2009.06.25
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Abstract

In this paper, a decentralized fuzzy output feedback controller for the nonlinear networked control system is proposed for wireless sensor network. Especially, it is assumed that the networked control system has the output packet loss and the input transmission failure. For the fuzzy control of the nonlinear subsystem, it presents Takagi-Sugeno (T-S) fuzzy model of each subsystem and it designs the decentralized fuzzy output feedback controller. The stability condition of the closed-loop system with the proposed controller is obtained by Lyapunov functional. The obtained stability condition is represented to the linear matrix inequality (LMI) form, and the control gain is obtained by LMI. An example is given to show the verification discussed throughout the paper.

본 논문에서는 무선 센서 네트워크를 위한 비선형 네트워크 제어 시스템의 출력 궤환 분산 퍼지 제어기를 설계한다. 특히나, 분산 제어를 위한 네트워크 제어 시스템은 출력의 패킷 손실과 입력 전송 실패를 가진다고 가정한다. 제어기 설계를 위해 먼저 비선형 하위 시스템의 Takagi-Sugeno (T-S) 퍼지 모델을 제시하고, 각 하위 시스템에 대한 출력 궤환 분산 퍼지 제어기를 설계한다. 제안된 제어기를 포함한 폐루프 시스템의 안정도 조건을 Lyapunov 방정식을 통하여 구하고, 구해진 안정도 조건을 선형 행렬 부등식으로 나타내어, 이를 통해 제어기의 이득값을 구한다. 모의실험을 통하여 제어기의 효용성을 평가한다.

Keywords

References

  1. L. F. Akyildiz, W. Su, Y. Sankarasubramaniam and E. Cayirci, 'A survey on sensor networks,' IEEE Communication Magazine, pp. 102-114, 2002
  2. D. Culler, 'Overview of sensor network,' IEEE Computer Magazine, pp. 41-49, 2004
  3. M. Tabbara, D. Ne$\check{s}i{\acute{c}}$ and A. R. Teel, 'Stability of wireless and wireline networked control system,' IEEE Trans. on Automatic Control, Vol, 52, No. 9, pp. 1615-1630, 2007 https://doi.org/10.1109/TAC.2007.904473
  4. J. Xiong and J. Lam, 'Stabilization of linear systems over networks with bounded packet loss,' Automatica, Vol, 43, pp. 80-87, 2007 https://doi.org/10.1016/j.automatica.2006.07.017
  5. J. Wu and T. Chen, 'Design of networked control systems with packet dropouts,' IEEE Trans. on Automatic Control, Vol. 52, No. 7, pp. 1314-1319, 2007 https://doi.org/10.1109/TAC.2007.900839
  6. Z. Wang, F. Yang, D. W. C. Ho and X. Liu, 'Robust ${\infty}$control for networked systems with random packet losses,' IEEE Trans. on Systems, Man, and Cybernetics - Part B: Cybernetics, Vol. 37, No. 4, pp. 916-924, 2007 https://doi.org/10.1109/TSMCB.2007.896412
  7. S. Hu and W. Y. Yan, 'Stability robustness of networked control systems with respect to packet loss,' Automatica, Vol. 43, pp. 1243-1248, 2007 https://doi.org/10.1016/j.automatica.2006.12.020
  8. X. Zhang, Y. Zheng, H. Tang and G. Lu, 'A stochastic fuzzy system approach to networked control systems with data dropout,' Proceeding of the 25th Chinese Control Conference, pp. 2189-2193, 2006
  9. W. Zhang, M. S. Branicky and S. M. Phillips, 'Stability of networked control systems,' IEEE Control Systems Magazine, Vol, 21, No. 1, pp. 84-99, 2001 https://doi.org/10.1109/37.898794
  10. X. Jia, D. Zhang, L. Zheng and N. Zheng, 'Modeling and stabilization for a class of nonlinear networked control systems: a T-S fuzzy approach,' Progress in Natural Science, Vol. 18, pp. 1031-1037, 2008 https://doi.org/10.1016/j.pnsc.2008.03.012
  11. G. C. Walsh, H. Ye and L. G. Bushnell, 'Stability analysis of networked control systems,' IEEE Trans. on Control Systems Technology, Vol. 10, No. 3, pp. 438-446, 2002 https://doi.org/10.1109/87.998034
  12. D. Huang and S. K. Nguang, 'State feedback control of uncertain networked control systems with random time delays,' IEEE Trans. on Automatic Control, Vol. 53, No. 3, pp. 829-834, 2008 https://doi.org/10.1109/TAC.2008.919571
  13. L. A. Mongestruque and P. Antsaklis, 'Stability of model-based networked control systems with time-varying transmission times,' IEEE Trans. on Automatic Control., Vol. 49, No. 9, pp. 1562-1572, 2004 https://doi.org/10.1109/TAC.2004.834107
  14. B. Chen, Z. Wang, H. Shu and G. Wei, 'On nonlinear ${\infty}$ filtering for discrete-time stochastic systems with missing measurements,' IEEE Trans. on Automatic Control, Vol. 53, No. 9, pp. 2170-2180, 2008 https://doi.org/10.1109/TAC.2008.930199
  15. L. Xie, 'Output Feedback ${\infty}$Control of Systems with Parameter Uncertainties,' Int. J. Contr., Vol. 63, No. 4, pp. 741-750, 1996 https://doi.org/10.1080/00207179608921866
  16. X. P. Guan and C. L. Chen, 'Delay-dependent guaranteed cost control for T-S fuzzy systems with time delay,' IEEE Tran. on Fuzzy Systems, Vol. 12, No. 2, pp. 236-249, 2004 https://doi.org/10.1109/TFUZZ.2004.825085

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