Double-flexible-beam-coupling structures are widely used in the aerospace field， such as in solar-wing-extension structures and solar-cell arrays. However， non-contact vibration measurements and system control are some issues associated with double-flexible-coupled-beam systems. To address these， herein， a measurement and control experimental platform based on a point-laser-structured-light-vision system was constructed， and point-laser-visual-vibration-measurement research and vibration-control-algorithm design were conducted. The point-laser-vision system was calibrated， and the vibration signal of the flexible beam was extracted via image processing combined with a geometric method. The system-dynamics model was established， and the parameters of the state-space equation were identified using a wavelet transform and optimization method. A direct adaptive fuzzy cooperative （DAFC） controller was designed to actively control the vibration of the double-flexible-beam system， and the Gazelle optimization algorithm was used to optimize the controller parameters based on the identification model. Visual-vibration detection and control experiments were conducted under fixed and translational motions of the double-flexible-coupled-beam system. The experimental results revealed that the designed point-laser-vision sensor demonstrated an improved vibration-measurement accuracy， and the DAFC controller exhibited a better control effect than the proportional derivative controller， as the former could suppress the vibrations of the double-flexible-coupling beam more rapidly.