均衡实现降阶系统LQ控制器设计改进研究

土木工程结构振动控制由于模型的自由度数目很大,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的突出。本文在采用均衡实现技术对结构模型进行降阶的基础上,进行LQ控制器的设计,考虑了对应较小奇异值的状态变量对低阶控制器的影响,对LQ控制器的设计进行改进,优化了控制效果。本文通过对Highway Bridge的Benchmark模型进行LQ控制器设计的改进研究,验证了本文方法的改进效果。

Improvement for designing LQ controller of order-reduced system via internal balanced realization

Since the models of civil engineering structures usually possess comparatively large DOFs, controller designed directly with original structure model is high order. So 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 obtain the internal balanced model firstly, and then to design LQ controller for the reduced model. Then improve LQ controller design to improve controlling effectiveness for internal balanced order reduced system. The improving effectiveness for designing LQ controller are demonstrated by simulation for highway bridge benchmark model.