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土木工程结构模型的自由度数目很大,按照原结构模型设计的控制器阶次非常高,从而导致主动控制和半主动控制实施过程中时滞效应十分突出。首先采用均衡实现技术对结构模型的状态变量重新排序形成内部均衡的模型,然后分别基于系统的可观度和可控度指标与内平衡系统二次型性能指标来进行结构模型降阶,略去对结构动力反应贡献小的状态变量。通过对Highway Bridge的Benchmark模型进行多目标模型降阶计算,得到最优的降阶模型,说明方法的可行性和有效性。
The degree of freedom of the civil engineering structural model is very large, and the controller order designed according to the original structural model is very high, which leads to the prominent lag effect in the active control and the semi-active control. Firstly, the state variables of the structural model are reordered to form an internal equilibrium model by using the equalization technology. Then, the structural model is reduced based on the system’s observability and controllable index and the quadratic performance index of the internal balance system respectively, Structural dynamic response contributes to small state variables. Through the downgrading of Multi-objective model of Highway Bridge Benchmark model, the optimal reduction model is obtained and the feasibility and effectiveness of the method are demonstrated.