Exponential stability of networked control systems with short time delay

Feedback control systems wherein the control loops are closed through a real-time network are called networked control systems. Based on the linear time-invariant process, the mathematic model of networked control systems is set up when the sensor and the actuator are time driven, the is event driven, and the network induced delay is not longer than a sampling period. Using the optimal control theory, the discrete optimal controller of the networked control system is designed. The structure of proposed controller is simple and convenient to use. The controller can render the networked control systems exponentially stable. In the end the simulation based on the unstable inverted pendulum is studied. The simulation results show the proposed method is effective.