Design for networked control systems based on multi-rate technique

This paper is concerned with the design of networked control systems based on multi-rata technique. Firstly, based on the Fourier series of periodic signal, a novel nonlinear two part periodic function (NTPPF) method is proposed to construct the generalized sampled-data hold function (GSHF). Secondly, a hybrid nonlinear delay system model is constructed by establishing the relationship between the network-induced delay and the frequency of the NTPPF. Furthermore, by using the Lyapunov theory, the stability condition can be obtained. Finally, a numerical example is provided to demonstrate the effectiveness and less conservativeness of the proposed methods. © Hui et al.