基于输出的建筑结构分散滑模控制

大尺度结构分解为多个低阶子结构,子结构间的相互作用视为作用于子结构的有界扰动。本文提出了一种基于部分位移、速度输出反馈的建筑结构分散控制方法。分析了输出坐标下子结构稳定滑模的存在条件,得到输出坐标下子结构稳定滑模面方程。建立了基于输出的稳定分散控制格式,其中控制力非线性部分保证结构全局状态收敛至设计的滑模面,线性部分使建筑结构闭环子结构系统渐进稳定。以一20层钢结构基准模型在地震激励下的控制为例,验证了该分散控制的有效性。研究表明,使用部分位移、速度输出信号可以设计基于全局稳定的建筑结构分散滑模控制。所提控制方法有效抑制了大尺度建筑结构振动响应,避免了滑模设计所需的复杂坐标变换,简化了基于输出的稳定滑模设计。

Decentralized sliding mode part output feedback control of building structures

The large-scale structure was decomposed into a number of substructures and the interactions between substructures were regarded as bounded disturbances.A decentralized sliding mode part output feedback control was presented for the large scale building structure.Using linear matrix inequality (LMI) method, the existent condition of decentralized sliding mode output feedback control was derived.The stable decentralized output feedback control laws were presented.The non-linear control guarantees that the states reach and maintain the sliding surface and the linear part ensures the closed-loop substructure system asymptotic stability.The effectiveness of the proposed method was demonstrated by the numerical simulation of a 20-story steel structure under seismic excitations.Results show that the proposed method can effectively inhibit large-scale building structure vibration responses.The complex coordinate transformation of the traditional sliding mode design can be avoided by the present method.