In this study, a robust adaptive controller is designed to be used in an active tuned mass damper system that can be used to damp undesired vibrations that occurred on the multistory buildings during the earthquake. To realize the controller design, all of the system parameters are assumed to be unknown, and the adaptive structure of the designed controller is obtained by designing adaptive compensation rules for system parameters. A backstepping control design approach is utilized for the control design by considering the appropriateness of the system’s structure of multistory buildings having an active tuned mass damper system at the top of the structure. The proposed control design is supported with a Lyapunov-based stability analysis where it is proven that the designed controller is able to protect the overall system’s stability while reaching the main control purpose. In addition to these, in the simulation studies realized for a nine-story building under the effect of a major earthquake, it is shown that the designed controller can be used to reach the main control purpose efficiently.

在这项研究中，设计了一种鲁棒的自适应控制器，用于主动调谐质量阻尼器系统，该系统可用于阻尼地震期间多层建筑物上发生的不希望有的振动。为了实现控制器的设计，假定所有系统参数都是未知的，并通过设计系统参数的自适应补偿规则来获得所设计控制器的自适应结构。通过考虑在结构顶部具有主动调谐质量阻尼器系统的多层建筑物的系统结构的适当性，将后推控制设计方法用于控制设计。基于Lyapunov的稳定性分析为所建议的控制设计提供了支持，在该分析中证明了所设计的控制器能够在达到主要控制目的的同时保护整个系统的稳定性。除此之外，在大地震作用下对一幢九层建筑物的仿真研究中，表明所设计的控制器可以有效地达到主要控制目的。