Robust H∞ control for varying sampling networked control systems

For the robustness of varying sampling networked control system, a designed method of varying sampling H∞ controller is proposed. Based on the character of the system, the system is modeled as switching system. The study utilizes Lyapunov function to demonstrate the system stability and H∞ performance, then presents sufficient conditions in which the H∞ performance should be satisfied via LMI (linear matrix inequality). Furthermore, the designed method of H∞ state feedback controller is deduced. According to the method, the H∞ performance and H∞ controller are solved by using the LMI toolbox in examples easily. The results of simulation show the feasibility and validity of the method.