Design for Networked Control Systems Based on Multi-Rate Technique

ABSTRACT

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.

Keywords:

Sampled-data control system, Networked control systems (NCSs), GSHF, input delay, linear matrix inequality (LMI).