Discussion and Research on Stochastic Stability Based on Network Control System

Abstract

With the growing surge of network control system research results, the study of stability analysis aspect of network control system is diversified. This paper introduces the concept of packet loss and equivalent network-induced delay, the stochastic stability of network control model is studied, the use of network control system modeling is transformed into the concept of a discrete time based on jump linear system, and the stochastic stability some conditions of networked control systems are proposed. At the same time, the state feedback controller related to solve the problem will also translated into linear matrix inequality problems, which carries out the study of the stochastic stability of networked control systems. Finally, through the simulation examples, they are given to demonstrate the validity of the study method in application, which use the modeling method to study the problem, and also have certain significance in related fields in a certain extent.