Robust Stability Analysis of an Uncertain Nonlinear Networked Control System Category

  • Fei Minrui (School of Mechatronical Engineering & Automation, Shanghai University) ;
  • Yi Jun (School of Mechatronical Engineering & Automation, Shanghai University) ;
  • Hu Huosheng (Department of Computer Science, University of Essex)
  • Published : 2006.04.01

Abstract

In the networked control system (NCS), the uncertain network-induced delay and nonlinear controlled object are the main problems, because they can degrade the performance of the control system and even destabilize it. In this paper, a class of uncertain and nonlinear networked control systems is discussed and its sufficient condition for the robust asymptotic stability is presented. Further, the maximum network-induced delay that insures the system stability is obtained. The Lyapunov and LMI theorems are employed to investigate the problem. The result of an illustrative example shows that the robust stability analysis is sufficient.

Keywords

References

  1. G. C. Walsh, H. Ye, and L. G. Bushnell, 'Stability analysis of networked control system,' IEEE Trans. on Control System Technology, vol. 10, no. 3, pp. 438-446, May 2002 https://doi.org/10.1109/87.998034
  2. 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, February 2001 https://doi.org/10.1109/37.898794
  3. W. Zhang and M. S. Branicky. 'Stability of networked control systems with time-varying transmission period,' Proc. of Allerton Conf. Communication, Control, and Computing, Urbana, IL, October 2001
  4. M. S. Branicky, S. M. Phillips, and W. Zhang, 'Stability of networked control systems: Explicit analysis of delay,' Proc. of Amer. Control Conf., Chicago, IL, pp. 2352-2357, June 2000
  5. M. S Branicky. 'Stability of hybrid Systems: state of the art,' Proc. of IEEE Conf. Decision and Control, San Diego, pp. 120-125, 1997
  6. D. S. Kim, Y. S .Lee, W. H. Kwon, and H. S. Park, 'Maximum allowable delay bounds in networked control systems,' Control Engineering Practice, vol. 11, no. 11, pp. 1301-1313. 2003 https://doi.org/10.1016/S0967-0661(02)00238-1
  7. D. S. Kim, Y. S. Lee, and W. H. Kwon, 'Scheduling analysis of networked control system,' Proc. of IFAC NTCC, pp. 77-82, November 2001
  8. H. S. Park, Y. H. Kim, D. S. Kim, and W. H. Kwon, 'A scheduling method for network-based control systems,' IEEE Trans. on Control System Technology, vol. 10, no. 3, pp. 318-330, May 2002 https://doi.org/10.1109/87.998012
  9. H. Lin, H. Zhai, and P. J. AntsakLis, 'Robust stability and disturbance attenuation analysis of a class of networked control systems,' Proc. of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii USA, December 2003
  10. J. Yi, Y. Tan, and M. Fei, 'Networked learning control based on cubic spline predictive algorithm and neural network,' Proc. of WCICA, 2004
  11. L. Feng-Li, J. R. Moyne, and D. M. Tilbury, 'Performance evaluation of control networks: Ethernet, ControlNet, and DeviceNet,' IEEE Control Systems Magazine, vol. 21, no. 1, pp. 66-83, February 2001 https://doi.org/10.1109/37.898793
  12. S. Mei, T. Shen, and K. Liu, Modern Robust Control Theory and Application (in Chinese), Qinghua University Publishing Company, 2003