摘要
针对制约结构抗震复合控制在工程中应用的执行器输出饱和问题,设计了一种基于哈密顿模型的H∞输出饱和控制器。首先对用多自由度描述的建筑物模型和隔震装置建立了哈密顿模型,然后根据地震波的有界特性,将地震波视为有界扰动,据此设计H∞控制器。为了保证在执行器输出饱和情况下该H∞控制器仍能保证稳定,在确定最大椭球体的基础上利用LMI方法计算得到了干扰抑制水平常数下限。以业界常用三层楼模型为例对此控制器进行了仿真实验,结果表明该控制器在执行器存在输出饱和情况下,可以较好地抑制地震对建筑物的影响,且优于现有被动控制方案。
The saturation of actuator impedes the widely application of hybrid control of the seismically excited structures.A H∞controller of port-controlled Hamiltonian systems subject to actuator saturation is designed.The port-controlled Hamiltonian formulation is obtained by analyzing on the dynamics of both the base isolator and structures.The structure is expressed by multiple-degree-of-freedom motion equations and the H∞is designed to attenuate the disturbance of earthquake.The largest ellipsoid for the port-controlled Hamiltonian system is calculated to ensure that the trajectories of the system which starts from the origin will remain inside it and then the disturbance rejection ability is solved by the LMI method.The proposed controller is tested on a widely used three storey building by numerical simulation.The results show that the disturbance of earthquake is attenuated effectively and the response of hybrid control is better than that of passive control.
作者
李士心
范超男
张海
LI Shi-xin;FAN Chao-nan;ZHANG Hai(School of Electronic Engineering,Tianjin University of Technology and Education,Tianjin 300222,China)
出处
《测控技术》
2019年第10期122-126,共5页
Measurement & Control Technology
基金
天津市高等学校科技发展基金计划项目(20140818)
关键词
地震响应
H∞控制
执行器饱和
复合控制
seismic response
H∞ control
actuator saturation
hybrid control
