LQG Output Feedback Control of Multi-Rate Networked Control Systems

Abstract

Networked control systems with single-rate mode means the sampling periods 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 single-rate networked control systems; networked control systems with multi-rate mode are called multi-rate networked control systems. The optimal estimator and LQG output feedback controller of multi-rate linear networked control systems are presented when the system has partial state information. The LQG output feedback controllers are proved to render corresponding closed-loop networked control systems exponentially mean square stable on some wild conditions. The separation theorem is proved to still hold in such multi-rate networked control systems.