Event-Triggered H∞ Proportional-Integral Output Feedback Tracking Control and Its Application to Ducted Rocket Engine

This paper deals with the problem of H
_∞
proportional-integral (PI) output feedback tracking control for a ducted rocket engine when event-triggering mechanism is incorporated. We determine necessary samplings of the feedback signal by constructing predefined event-triggering condition that can reduce redundant signal transmission and updates. Specifically, the mathematical model of ducted rocket is first introduced and its control problem is described. Then, for control design, an output-based periodic event-triggering scheme is provided. Particularly, a variable built by the exogenous disturbance and reference signal is added in the event-triggering condition to adjust triggering frequency and H
_∞
output tracking performance. Moreover, to facilitate system performance analysis, a time-delay closed-loop model is established with the PI controller. By using the Lyapunov-Krasovskii functional method, a sufficient condition is further provided to guarantee the H
_∞
output tracking performance. Meanwhile, the influence of the event-triggered control on the system performance analysis is clarified. Finally, the proposed control method is applied to the ducted rocket control model, and simulation results demonstrate its effectiveness.