Guaranteed Cost Control for Multiple-Packet Transmission Networked Control Systems

The problem of guaranteed cost control for a class of multi-packet transmission networked control systems with uncertain short time-delay was studied.Under the condition of static schedule of sensor data transmission,a model was introduced in the controller node to predict the plant state,its state was updated using the received sensor data,then the multi-packet transmission networked control system was modeled as a linear discrete periodic system with uncertainties.The existence condition of guaranteed cost control law was derived according to periodic system theory and matrix inequality method,and the design method of guaranteed cost controller was also presented.The suboptimal guaranteed cost control law and suboptimal cost index was obtained through solving optimize problem constrained by bilinear matrix inequalities using PENBMI software.The simulated results by an example show the validity of the proposed method.