Delay-Distribution-Dependent Stability and Stabilization for Wireless Networked Control System with Data Quantization

In this paper, the problem of stability and stabilization is studied for wireless networked control system (WiNCS) with data quantization. Considering the mobile characteristics of wireless network environment, it is assumed in this paper that the network-induced delay is random and its probability distribution is known in advance. In terms of the probability distribution of the delay, a new type of system model with stochastic parameter matrices is proposed. The purpose of this paper is to design the state feedback controller which can guarantee the system is exponentially mean-square stable when considering the effect of both network conditions and data quantizations. By using linear matrix inequality (LMI) technology, sufficient conditions for the solvability of the addressed problem are obtained. It should be noted that, different from the traditional methods in the existing references, the solvability of the derived conditions depends on not only the size of the delay, but also the probability of the delay taking values in some intervals. Finally, a numerical example is provided to demonstrate the effectiveness and applicability of the proposed approach.