基于能控性和能观性的基础隔振装置的优化配置

Optimal placement of base isolation devices based on controllability and observability

根据控制理论中的能控性和能观性概念,把基础隔振装置视为对结构施以被动控制力的控制器,从而把隔振装置的位置最优化问题转化为控制器位置的选优问题,构造了一个反映能控性和能观性的位置指数,对位置指数的正则化、相关系数等问题进行了研究,并把上述方法应用到一个benchmark问题实例中,对隔振垫的可能布置点的指数进行了计算,选出了13个最优位置。该方法为土木工程的减隔振最优化问题提供一个新视角。

Based on controllability and observability concepts in the control theory, and taking base isolation devices as passive controlles that input passive control forces to structures, the problem of optimal placement of isolators was converted into a problem of optimal placement of controllers. A placement index reflecting the controllability and observability was then constructed, and problems regarding the normalization and correlation coefficients of the index were studied. The methodology was then applied to a benchmark example. The indices of the potential isolators＇ locations were calculated, and 13 optimal locations were chosen. This methodology provided a new view for similar optimal problems in civil engineering.