Network-based control with asynchronous samplings and quantizations

© Springer International Publishing AG, part of Springer Nature 2019. In this chapter, a problem of the network-based control system consisted of the continuous-time plant and controller is addressed. In both transmission and receiving channels, asynchronous samplings and different logarithmic quantization effects are considered. The quantizer is assumed to be satisfied by the sector bounded condition and it is handled by the convex combination technique. To deal with sampling effect, we categorize three cases: one synchronous sampling case and two asynchronous sampling cases in which novel models for sampled-data signals are proposed. Finally, sufficient conditions of the existence of desired controllers for every three cases are presented in the form of linear matrix inequalities (LMIs) and a numerical example is given to illustrate the validity of the proposed methods.