Dynamic Event-Triggered Finite-Time H∞ Tracking Control of Switched LPV Aero-Engine Models

Abstract

In this article, the transient <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> tracking performance, i.e., finite-time <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> tracking control, of switched linear parameter-varying (LPV) aero-engine models over a finite-time horizon is studied utilizing dynamic event-triggered method. For this purpose, a novel dynamic event-triggered mechanism (DETM) is constructed. It is shown that under the proposed method, transmission times of sampled information of the reference are determined by the designed DETM and transmission intervals can be adjusted with the variety of the tracking performance. The sampled information of the reference is updated when the event is triggered, and thus compared with traditional tracking methods, the transmitting cost can be reduced dramatically. An application of the control of aero-engines is demonstrated to show that the presented results are valid.