Stability Analysis of Multi-rate Switched Networked Systems with Short Time Delay

By multi-rate networked control systems (NCS), we mean the sampling periods of the sensor, the controller and the actuator in networked control systems are not the same, that is to say there are more than one sampling rate in networked control systems. When the sensor, the controller and the actuator are all clock driven, multi-rate NCS with both short time delay and packet dropout is modeled as a switched system model. Based on the approaches of switched system and Lyapunov functions, the necessary conditions for asymptotical stability for multi-rate NCS with both short time delay and packet dropout are given. A numerical example is given to verify the theories results in this paper.