结构模型与控制器降阶的主动控制试验研究

Experimental study of active structural control with model and controller reduction

土木工程结构模型的自由度数目较大,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,本文采用均衡截断技术研究了结构和控制器降阶的两种方法。第一种方法是首先采用均衡实现技术得到内部均衡系统,再根据H anke l矩阵奇异值的大小对结构模型进行降阶,对降阶的结构系统设计低阶的线性二次调节(LQ)和H∞控制器;第二种方法是对原结构模型设计LQ和H∞控制器,再采用均衡实现技术对控制器进行降阶,得到低阶控制器模型。通过大量的仿真和地震模拟振动台试验,研究了所建立方法的可行性和有效性。

Since the models of civil engineering structures usually possess comparatively larger DOFs, the phenomenon of time delay is usually predominant when the active/semi-active control technologies are applied to suppressing the structure dynamic response. In this paper the balanced realization truncation is adopted to investigate two order reducing approaches of both the structure model and its controller. The first one is started with the interval balanced counterpart of the original complex structure model by using the balanced realization technology, and then according to the magnitude of the Hankel singular val- ues,an order-reduced model is obtained, for which the LQ and H^controller are designed refering to the low order model. On the other hand, as for the second method, the LQ and Hoo controllers are designed directly for the high order structure model and the balanced realization technology is further used to reduce the order of the controllers. The feasibility and validity of the order-redueed procedures for the structure model and its controllers are demonstrated by both simulation results and shaking table tests.