Control under quantization, saturation and delay: An LMI approach

This paper studies quantized and delayed state-feedback control of linear systems. We consider two types of quantization: quantized feedback and quantized state. The quantizer may be either unconstrained or saturated with a given quantization error bound. The delay is supposed to be time-varying and bounded. The controller is designed with the following property: all the states of the closed-loop system (starting from a neighborhood of the origin in the saturated case) exponentially converge to some bounded region in R. The design procedure is given in terms of Linear Matrix Inequalities (LMIs), derived via LyapunovKrasovskii functional and the comparison principle.