Stability of networked control system with multi-rate input sampling

In this paper, stability of networked control systems with multi-rate input sampling is considered. By introducing lifting technique, the system is transformed into a single-rate sampling system. State feedback control of the system is studied. Necessary and sufficient conditions for system to be globally exponentially stable are derived. Then, the model error influence on the maximum communication interval is investigated. It is also to be noted that the smaller the model error, the larger the maximum transmitting time. Simulation examples are used to illustrate the validity of the main results.