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The main aim of this paper is to establish the relationship between the airfoil flutter with the flight dynamics of a generic hypersonic flight vehicle (HFV) and analyze the airfoil damage variation during the airfoil flutter. Based on the motion equations of the two degrees of freedom airfoil model and the longitudinal dynamics of the HFV, an airfoil dynamic model is established. By using a coupling equation, the relationship between airfoil flutter and the flight dynamics is estimated. According to the stress–strain ([Formula: see text]) model and the strain–fatigue damage ([Formula: see text]) model, the influence of the stress on the airfoil flutter damage is analyzed. The simulation results show that the flutter of the airfoil is closely related to the flight dynamics for the HFV and the airfoil flutter damage is closely related to the flutter amplitude of the airfoil.

The complex nonlinearities of hypersonic vehicles can lead to strong couplings between variables, which will bring great challenges to flight control. For this purpose, this paper proposes a novel coupling analysis method for the longitudinal dynamics of a hypersonic vehicle, based on which a coordination controller is designed to reduce the negative effects of the couplings. Initially, according to the coupling characteristics of the hypersonic vehicle, a novel coupling analysis method based on the dynamic equations is proposed to describe the dynamic coupling relationships between variables. Then, a coordination control scheme is designed by combining sliding mode control and the dynamic coupling matrix obtained. Subsequently, the asymptotic stability of the closed-loop system is proved by using Lyapunov theory, and the simulation results are given to verify the effectiveness of the proposed dynamic coupling matrix-based coordination control.

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