Discrete-Time Event-Triggered H-Infinity Stabilization for Networked Cascade Control Systems with Transmission Delay

This paper focuses on the
$H\infty$
suppression problem of network cascade control with double time delay and perturbation, where the design of multiple controllers in a control system is a difficult problem when there are perturbations in the system. In order to solve the influence of perturbation on controller design,
$H\infty$
control theory is introduced in this paper. First, a discrete network cascade control system with double time delay is modeled. Based on this, a suitable Lyapunov function is constructed to provide sufficient conditions for the stability of the system. Then the stability and co-design problems of the
$H{\infty}$
controller are analyzed. Finally, the feasibility of the co-design scheme is verified by a simulation example of a boiler in a thermal power plant.