Abstract
In order to overcome the constraints of Net-worked Control Systems (NCS) such as random packet delays or disorders, it is a natural idea to estimate the system state and compensate for the time delays on the controller side. However, it is rarely studied how this idea changes the structure and scale of the system. This paper provides an estimate on the scale of the complete dynamical system using 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 a seemingly small system turns out to have a very large scale if random time delays and state estimates are present.
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