The filtered-X least-mean-square (FXLMS) algorithm is the most popular method in adaptive filtering feed-forward control. While it is usually assumed that the interference source is tested as a reference input of the feed-forward controller, in the actual control process, it is necessary to consider the influence of the output feedback signal on a reference signal. The filtered-X algorithm thus has greater limitations in its practical application. To solve this problem, a filter-U least-mean-square (FULMS) adaptive control method based on IIR is proposed using smart solar piezoelectric structures as simulation objects. Further, we analyze such elements as the controller structure design, reasoning process FULMS algorithm, structure design of the test model, construction of the experiment platform, and experiment verification. The simulation experiments compare the FULMS control method with the FXLMS method. Results show that the control effect of the FULMS method is better, and the adopted controller design methods and control algorithms have a quick convergence speed. The FULMS method provides better research for an adaptive vibration control method in practical engineering applications.