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Design for Nonlinear Networked Control Systems with Time Delay Governed by Markov Chain with Partly Unknown Transition Probabilities

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  • Yan-Feng Wang
  • Zu-Xin Li
  • Hui-Ying Chen
  • Li-Di Quan
  • Xiao-Rui Guo

Abstract

The problem of state feedback control for a class of nonlinear networked control systems with time delay is discussed in this paper. The time delay is modeled as a finite state Markov chain of which transition probabilities are partly unknown. The closed-loop system model is obtained by means of state augmentation. A sufficient condition is given which guarantees the stochastic stability of the closed-loop system in the form of linear matrix inequalities and the maximum bound of the nonlinearity is also obtained. Finally, a simulation example is used to show the validity of the proposed method.

Suggested Citation

  • Yan-Feng Wang & Zu-Xin Li & Hui-Ying Chen & Li-Di Quan & Xiao-Rui Guo, 2015. "Design for Nonlinear Networked Control Systems with Time Delay Governed by Markov Chain with Partly Unknown Transition Probabilities," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, September.
    • Handle: RePEc:hin:jnlmpe:604246
    DOI: 10.1155/2015/604246
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