Discrete-time event-triggered H-infinity stabilization for three closed-loop cyber-physical system with uncertain delay

This paper investigates the problems of modeling and H∞ control for discrete three closed-loop cyber-physical system (CPS) with network delay, disturbance, and event-triggered control for the first time. A new even-triggered scheme is designed by incorporating a disturbance term, which reduces the number of triggers compared with some previous ones due to the inclusion of disturbance, and leads to the expansion of the triggered intervals. First, a new model of the system is constructed. Then, to provide sufficient conditions of the stability for the system with H∞ control, Lyapunov function and linear matrix inequality (LMI) techniques are used. Furthermore, the co-design method of three controllers and event-triggered matrix is proposed. Finally, the feasibility and practicality of the method proposed in this paper are verified by a simulation example of a marine boiler power generation control system. This kind of three closed-loop CPS model is constructed for the first time, which has been applied in different control systems such as servo motors, thermal power generation, etc.