Robust stability analysis for the networked control systems within the framework of nest algebra
In this paper,the robust stability of cascaded two-port networked control system with disturbance in the plant,controller and two-port communication channel is studied.Cascading two-port connections occur when signals in a networked control system are transmitted over a series of two-port communication channels.Considering the distortion and interference occurring in communication,we consider H∞ norm bounded disturbances in the two-port channel transmission matrix and gap disturbances in the plant and controller.The relationship between the robust stability of the closed-loop system and the networked control system is obtained based on the norm bounded communication channel perturbation,and a sufficient condition for the robust stability of the networked control system is given by means of geometric inequality.The numerical example shows the effectiveness of our conclusion.
nest algebratwo-portnetworked control systemsstabilityrobust stabilityquadratic constraints