Quantized feedback control for a class of 2-D systems with missing measurements

In this paper, the quantized feedback control problem is investigated for a class of network-based 2-D systems described by Roesser model with data missing. It is assume that the states of the controlled system are available and there are quantized by logarithmic quantizer before being communicated. Moreover, the data missing phenomena is modeled by a Bernoulli distributed stochastic variable taking values of 1 and 0. A sufficient condition is derived in virtue of the method of sector-bounded uncertainties, which guarantees that the closed-loop system is stochastically stable. Based on the condition, quantized feedback controller can be designed by using linear matrix inequalities technique. The simulation example is given to illustrate the proposed method.