Stability analysis of networked control systems with bounded random delay and state compensation: How large is the actual system scale?

In order to overcome the constraints of Networked Control Systems (NCSs) such as random packet delays or dropouts, it is a natural idea to estimate the system state and compensate for the time delays on the controller side. This paper provides an estimate on the scale of the complete dynamical system that uses this idea of control. The structure of the complete system is clearly illustrated. Then a concise sufficient and necessary stability condition is provided. In the numerical example, it is shown that this seemingly small system turns out to have a very large scale.