Quantized H∞ estimation for discrete linear systems

In this paper, we consider the H_∞ estimation problem for discrete linear systems using quantized measurements, where the quantizer is regarded as an information coder. In order to mitigate the quantization effects, we design an estimator which ensures the estimation error systems not only the asymptotically stability but also a prescribed H_∞ performance. Then, according to the linear matrix inequality approach (LMI), we derive a sufficient condition for the existence of the aforementioned estimator. At last, a numerical example is provided to illustrate the effectiveness and advantage of the developed estimator design method.