Stochastic stability for networked control systems

被引:0
|
作者
Ma, Wei-Guo [1 ]
Shao, Cheng [1 ]
机构
[1] Institute of Advanced Control Technology, School of Electronic and Information Engineering, Dalian University of Technology
来源
Zidonghua Xuebao/Acta Automatica Sinica | 2007年 / 33卷 / 08期
关键词
Data packet dropout; Markovian jump linear systems; Network-induced delay; Networked control systems; Stochastic stability;
D O I
10.1360/aas-007-0878
中图分类号
学科分类号
摘要
The stochastic stability for networked control systems with stochastic network-induced delay and data packet dropout is studied. When data are transmitted over network, the stochastic data packet dropout process is modeled as a Markov chain with two states. Based on the theory of Markovian jump linear systems, the networked control systems are modeled as a discrete time Markovian jump linear system with two operation modes. The sufficient condition of stochastic stability for networked control systems stabilized by state feedback control is proposed in terms of linear matrix inequality. At last, a numerical example is given to verify the effectiveness of the method presented in this paper.
引用
收藏
页码:878 / 882
页数:4
相关论文
共 13 条
  • [1] Nicholas J.P., Palu A.K., Andrew G.A., Closed-loop control over wireless networks, IEEE Control Systems Magazine, 24, 3, pp. 58-71, (2004)
  • [2] Tipsuwan Y., Chow M.Y., Control methodologies in networked control systems, Control Engineering Practice, 11, 10, pp. 1099-1111, (2003)
  • [3] Hokayem P.F., Abdallah C.T., Inherent issues in networked control systems: A survey, Proceedings of the American Control Conference, pp. 4897-4902, (2004)
  • [4] Xie G.M., Wang L., Stabilization of networked control systems with time-varying network-induced delay, Proceedings of the 43rd IEEE Conference on Decision and Control, pp. 3551-3556, (2004)
  • [5] Li S.B., Wang Z., Sun Y.X., Delay-dependent controller design for networked control systems with long time delays: An iterative LMI method, Proceedings of the 5th World Congress on Intelligent Control and Automation, pp. 1338-1342, (2004)
  • [6] Zhang W., Branicky M.S., Phillips S.M., Stability of networked control systems, IEEE Control Systems Magazine, 21, 1, pp. 84-99, (2001)
  • [7] Fan W.-H., Cai H., Wu X.-B., Hu W.-L., Stability of networked control systems with time delay and data packet dropout, Journal of Nanjing University of Science and Technology, 28, 5, pp. 465-468, (2004)
  • [8] Paul A.K., Andrew G.A., Stability and feedback control of wireless networked systems, Proceedings of the American Control Conference, pp. 2953-2959, (2005)
  • [9] Pete S., Raja S., Analysis of communication losses in vehicle control problems, Proceedings of American Control Conference, pp. 1491-1496, (2001)
  • [10] Babak A.Z., Stability of networked control systems in the presence of packet losses, Proceedings of the 42nd IEEE Conference on Decision and Control, pp. 676-681, (2003)