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

In this paper, we investigate global <inline-formula><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink="tsys_a_1091899_ilm0002.gif"/></inline-formula>-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 <inline-formula><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink="tsys_a_1091899_ilm0003.gif"/></inline-formula>-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 <inline-formula><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink="tsys_a_1091899_ilm0004.gif"/></inline-formula>-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.