基于滑模理论的建筑结构分散稳定控制

Decentralized robust control of building structure based on sliding mode theory

基于大系统分散控制思想,将大尺度高阶建筑结构系统分解为多个子结构系统;子结构之间的相互耦合作用视为有界广义力,得到以状态方程形式的子结构模型。利用滑模理论的抗摄动条件,设计具有全局稳定的子结构滑动模态轨迹,利用子结构系统局部状态实现全局稳定的控制力条件,并以参数ρi实现各子结构间的调节,建立稳定的分散控制格式。在控制算法中采用了准滑模控制方法,克服变结构滑动模态中的抖振影响。利用本文方法,对20层钢结构基准模型在地震激励下的控制进行设计并数值仿真,验证了该方法的有效性。

A decentralized robust control method was investigated and developed for large scale building structure .Based on large systems control theory ,higher order structural system was decomposed into substructures .The interaction of subsystems and seismic disturbance were conducted as bounded gener-alized force acting on the subsystem and substructure model was established in the form of state equa-tion .Taking advantage of anti-perturbation conditions of sliding mode theory ,an overall stability sliding mode trajectory was designed .The control condition ,which satisfies the global stability only using local state of substructure system ,was analyzed and every substructure was regulated with parameter .Then the decentralized robust control algorithm was formulated .At the same time ,the pseud-sliding mode con-trol method was used to overcome the chattering of variable structure sliding mode .The effectiveness of the proposed method was demonstrated by the numerical simulation of a 20-story steel structure under seismic excitations .