Studies conducted after Northridge and Kobe earthquakes have shown that brittle failures in connections and members of structures led to extensive and catastrophic damage. Consequently, evaluation of critical points in a structure, controlling, and mitigating the seismic responses of structures, and avoiding structural damage such as low-cycle fatigue are needed. In this study, an adaptive control algorithm is used to reduce the low-cycle fatigue damage in two benchmark structures equipped with MR dampers. First, optimum parameters of the adaptive control method, called the Simple Adaptive Control Method (SACM), are calculated. The effectiveness of using SACM to mitigate the structural response of a three-story benchmark structure and a twenty-story benchmark structure under earthquake is studied. Finally, reducing fatigue damage on those structures subjected to various earthquakes is examined to extend the fatigue life of the structures.

To calculate the cumulative fatigue, the rain-flow counting technique is used. In order to validate the developed nonlinear models, natural frequencies and displacement response of a three-story structure subjected to three different earthquakes are compared with the values presented in the reference studies. A numerical search method is used to minimize the ratio of cumulative fatigue and maximum ratio of roof displacement in each structure. The results show that the adaptive control system can reduce fatigue damage in elements, and fatigue life could be extended in structures. Also, the effects of using the semi-active adaptive control approach on dynamic characteristics of a structure are studied.

诺斯里奇（Northridge）和神户（Kobe）地震后进行的研究表明，连接处和结构构件的脆性破坏会导致广泛的灾难性破坏。因此，需要评估结构中的关键点，控制和减轻结构的地震响应，并避免诸如低周疲劳之类的结构破坏。在这项研究中，采用自适应控制算法来减少两个装有MR阻尼器的基准结构中的低周疲劳损伤。首先，计算称为简单自适应控制方法（SACM）的自适应控制方法的最佳参数。研究了使用SACM减轻地震作用下三层基准结构和二十层基准结构的结构响应的有效性。最后，

为了计算累积疲劳，使用了雨流计数技术。为了验证已开发的非线性模型，将三层结构在三种不同地震作用下的固有频率和位移响应与参考研究中给出的值进行了比较。使用数值搜索方法来最小化每个结构中累积疲劳的比率和屋顶位移的最大比率。结果表明，自适应控制系统可以减少构件的疲劳损伤，并可以延长结构的疲劳寿命。此外，还研究了使用半主动自适应控制方法对结构动力特性的影响。