Dynamic Event-Triggered Gain-Scheduled ${H_\infty }$ Control for a Polytopic LPV Model of Morphing Aircraft

This article focuses on the dynamic event-triggered gain-scheduled ${H_\infty }$ control problem for a polytopic linear parameter-varying (LPV) model of the morphing aircraft while undergoing wingspan deformation. First, an LPV model of the morphing aircraft is transformed into the polytopic form, which can avoid the infinite-dimensional linear matrix inequality (LMI) problem arising from the continuity of the scheduling parameter. Then, a gain-scheduled control algorithm is proposed to ensure the robust stability of the morphing aircraft with ${H_\infty }$ performance, where the control gains are obtained by the derived LMI constraints. Furthermore, a dynamic event-triggered mechanism is presented to determine the update time of the controller, and Zeno behavior can be eliminated by contradiction. By designing the internal dynamic variable, a dynamic event-triggered scheme extends the trigger interval compared with a static event-triggered scheme, leading to decreased communication transmission frequency and control consumption. Finally, the simulations are showcased to demonstrate the effectiveness of the developed control strategy.