Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Intelligent Controller for Networked Control Systems with Time-delay

시간지연을 갖는 네트워크 제어 시스템의 지능형 제어기 설계

  • 배기선 (군산대학교 전자정보공학부) ;
  • 주영훈 (군산대학교 제어로봇공학과)
  • Received : 2010.11.25
  • Accepted : 2010.12.23
  • Published : 2011.02.01
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Abstract

We consider the stabilization problem for a class of networked control systems with random delays in the discrete-time domain. The controller-to-actuator and sensor-to-controller time-delays are modeled as two Markov chains, and the resulting closed-loop systems are Markovian jump nonlinear systems with two modes. The T-S (Takagi-Sugeno) fuzzy model is employed to represent a nonlinear system with Markovian jump parameters. The aim is to design a fuzzy controller such that the closed-loop Markovian jump fuzzy system is stochastically stable. The necessary and sufficient conditions on the existence of stabilizing fuzzy controllers are established in terms of LMIs (Linear Matrix Inequalities). It is shown that fuzzy controller gains are mode-dependent. Finally, a simulation example is presented to illustrate the effectiveness of the proposed design method.

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References

  1. L. Xiao, A. Hassibi, and J. P. How, “Control with random communication delays via a discrete-time jump linear system approach,” Proc. 2000 Amer. Control Conf., vol. 3, pp. 2199-2204, 2000.
  2. G. Xie and L. Wang, “Stabilization of networked control systems with time-varying network- induced delay,” Proc. 43rd IEEE Conf. Decision Control, pp. 3551–556, 2004.
  3. R. Krtolica, U. Ozguner, H. Chan, H. Goktas, J. Winkelman, and M. Liubakka, “Stability of linear feedback systems with random communication delays,” Int. J. Control, vol. 59, no. 4, pp. 925-53, 1994. https://doi.org/10.1080/00207179408923111
  4. M. Yu, L. Wang, T. Chu, and F. Hao, “An LMI approach to networked control systems with data packet dropout and transmission delays,” Proc. 43rd IEEE Conf. Decision and Control, pp. 3545-3550, 2004.
  5. H. Lin, G. Zhai, and P. J. Antsaklis, “Robust stability and disturbance attenuation analysis of a class of networked control systems,” Proc. 42nd IEEE Conf. Decision and Control, Maui, HI, pp. 1182-187, 2003.
  6. L. Zhang, Y. Shi, T. CHen, and B. Huang, “A new method for stabbilization of networked control systems with random delays,” IEEE Trans. on Autom. Control,vol. 50, no. 8, pp. 1177-1181, 2005. https://doi.org/10.1109/TAC.2005.852550
  7. J. Nilsson, B. Bernhardsson, and B. Wittenmark, “Stochastic analysis and control of real-time systems with random time delays,” Automatica, vol. 34, no. 1, pp. 57-64, 1998. https://doi.org/10.1016/S0005-1098(97)00170-2
  8. G. C. Walsh, H. Ye, and L. G. Bushnell, “Stability analysis of networked control systems,” IEEE Trans. on Control Syst. Technol., vol. 10, no. 3, pp. 438-446, Mar. 2002. https://doi.org/10.1109/87.998034
  9. S. Hu and W. Zhu, “Stochastic optimal control and analysis of stability of networked control systems with long delay,” Automatica, vol. 39, pp. 1877-1884, 2003. https://doi.org/10.1016/S0005-1098(03)00196-1
  10. W. Zhang, M. S. Branicky, and S. M. Phillips, “Stability of networked control systems,” IEEE Control Syst. Mag., vol. 21, no. 2, pp. 84-89, Feb. 2001. https://doi.org/10.1109/37.898794

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