Adaptive Fuzzy Control for a Spatial Flexible Hose System With Dynamic Event-Triggered Mechanism

Zhijie Liu, Jun Shi, Yakun He, Zhijia Zhao, Hak-Keung Lam

Abstract: In this study, we develop an adaptive boundary control strategy with a dynamic event-triggered mechanism (dETM) for an aerial refueling hose system involving certain performance specifications. The controller uses the barrier Lyapunov function (BLF) method, where the introduction of two boundary deflection transformations, an asymmetric scaling function, and a behavior-shaping function reduces the complexity of the stability analysis and guarantees that the system meets the required performance description. Fuzzy logic systems (FLSs) are developed to strengthen the adaptivity in other unmodeled dynamics. Particularly in this work, the dETM is constructed to decrease the unnecessary signal transmission between the controllers and actuators while achieving vibration suppression. The stability of the controlled systems is proved via Lyapunov analysis. Finally, we establish numerical simulations to illustrate the validity of the designed controllers.