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Global -exponential stabilisation of a class of nonlinear networked control systems

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  • Yan-Jun Shen
  • Daoyuan Zhang
  • Yuehua Huang
  • Yungang Liu

Abstract

In this paper, we investigate global K$\mathcal {K}$-exponential stabilisation of a class of nonlinear networked control systems. The network-induced delays are assumed to be random and significantly smaller than the sampling period. First, sufficient conditions are presented to ensure global K$\mathcal {K}$-exponential stability for a class of hybrid systems with time delay. Then, the networked control systems are modelled as the hybrid systems with time delay. By the techniques of adding a power integrator and a recursive argument, a sampled-data state feedback control law is presented. Sufficient conditions are given to ensure global K$\mathcal {K}$-exponential stability of the closed-loop system by constructing a Lyapunov–Krasovskii function. Finally, a numerical example is presented to show the validity of the new methods.

Suggested Citation

  • Yan-Jun Shen & Daoyuan Zhang & Yuehua Huang & Yungang Liu, 2016. "Global -exponential stabilisation of a class of nonlinear networked control systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(15), pages 3545-3553, November.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3545-3553
    DOI: 10.1080/00207721.2015.1091899
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