Observer‐Based Stabilization of Stochastic Systems with Limited Communication

This paper studies the problem of observer‐based stabilization of stochastic nonlinear systems with limited communication. A communication channel exists between the output of the plant and the input of the dynamic controller, which is considered network‐induced delays, data packet dropouts, and measurement quantization. A new stability criterion is derived for the stochastic nonlinear system by using the Lyapunov functional approach. Based on this, the design procedure of observer‐based controller is presented, which ensures asymptotic stability in the meansquare of the closed‐loop system. Finally, an illustrative example is given to illustrate the effectiveness of the proposed design techniques.