LQG State Feedback Control of Multi-Rate Networked Control Systems

In this paper, the concept of so-called multi-rate networked control systems is proposed for the first time. Networked control systems with single-rate mode means the sampling period of sensor, controller and actuator are the same. Networked control systems with multi-rate mode means the sampling periods of sensor, controller and actuator are not the same. Networked control systems with single-rate mode are called multi-rate networked control systems; networked control systems with multi-rate mode are called multi-rate networked control systems. LQG state feedback controllers of multi-rate networked control systems are designed in the case of full state information. The controllers are proved to render corresponding networked control systems exponentially mean square stable.