建筑结构的灰色预测变结构控制

为了使建筑结构的主动控制系统在时滞影响下具有较好控制效果,并避免控制系统过大的抖振,基于灰色GM(1,1)模型的特点,提出一种灰色预测变结构控制方法.建立了考虑时滞影响的标准离散时间运动方程,提出一种新的离散组合趋近律并进行相应控制律的设计.以一个多层剪切型建筑结构模型为例来验证所提出控制方法的有效性.算例分析结果表明,所提出的控制方法保证了控制系统的稳定性,有效地减小了结构的地震峰值响应,同时削弱了控制系统抖振.

Grey Prediction Variable Structure Control for Building Structures

The grey-based variable structure control method（GVSC） for seismically excited linear structures is investigated in this paper.A mathematical model known as grey model GM（1,1） with the technique of rolling modeling has been herewith employed successfully in the vibration control system of the seismically excited linear building structures.In the analysis,the model normally deals directly with original data and searches intrinsic regularity of data.Grey prediction is adopted as a forecasting means because of its fast calculation with as few as four data inputs needed.The undue chattering effect,the major disadvantage of conventional variable structure controller,is avoided by introducing GVSC involving a composite reaching law.In order to verify the feasibility of the proposed control method,a model on Multiple-Degree-of-Freedom（MDOF） shear building equipped with active brace system（ABS） under seismic excitations is presented,and analyzed by means of the presented method.The simulation results show that the method is quite effective,which not only reduces the peak-response of the ground motion,but also keeps the chattering effect sufficiently low so as to ensure the system stable.