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

Yan-Jun Shen, Daoyuan Zhang, Yuehua Huang and Yungang Liu

International Journal of Systems Science, 2016, vol. 47, issue 15, 3545-3553

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.

Date: 2016
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DOI: 10.1080/00207721.2015.1091899

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