Dynamic Analysis and Slider Vibration Control of a Moving-Mass High-Speed Cruise Vehicle

In complex environments, centroid and focus slip in high-speed cruise vehicles can degrade maneuverability and stability, necessitating the urgent adoption of relaxed static stability techniques to address this. However, the classical fuel-transfer method has slow response limitations when regulating the static stability of high-speed cruise vehicles with fast time-varying characteristics. To overcome this limitation and expand the performance envelope, a moving-mass control scheme is introduced, and a moving-mass high-speed cruise vehicle is presented. First, a seven-degree-of-freedom model of the vehicle is established using the Newton–Euler method, and the manipulation mechanism of moving-mass control is revealed. Second, considering the coupling effect of the moving-mass mechanism, the benefits and influences of moving-mass control on the trimmed lift-drag ratio and normal available overload are quantitatively analyzed. The variation law of the coupling characteristics is clarified through parameter sensitivity analyses. Finally, for the vibration control problem after the slider moves to the desired position, a fractional-order proportional–derivative (PD) controller is designed based on the analytical solution and fixed-point theory. The approximate analytical solution for the multidimensional coupled system composed of the slider and the pitch attitude is obtained using the averaging method. Drawing on the analytical solution, the auxiliary design conditions for the static stability margin in this vehicle’s aerodynamic layout and the optimal design formula for the controller parameters are derived. Comparisons under harmonic, impact, square wave, and random excitations show that the optimized fractional-order PD has outstanding advantages in terms of broadband vibration reduction and output force, among other aspects.