建筑结构基于指定衰减度的LQR控制

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英文篇名：New LQR Control with Constraint Decay Rate for Building Structures 中文刊名：西安工业大学学报 英文刊名：Journal of Xi'an Technological University 作者：李志军 ; 邓子辰 ; 康众举 英文作者：LI Zhi-jun1 ; DENG Zi-chen2 ; KANG Zhong-ju3 (1.School of Civil & Architecture Engineering ; Xi'an Technological University ; Xi'an 710032 ; China ; 2.Department of Engineering Mechanics ; Northwestern Polytechnical University ; Xi'an 710072 ; China ; 3.Design and Research Institute of China Railway Eryuan Engineering Group Co.Ltd ; Xi'an 710054 ; China) 中文关键词：LQR控制 ; 衰减度 ; 性能指标 ; 地震响应 ; 建筑结构 英文关键词：LQR control ; decay rate ; performance index ; seismological response ; building structures 出版日期：2010-02-15 机构：西安工业大学建筑工程学院;西北工业大学工程力学系;中国铁道二院工程集团有限责任公司西安勘察设计研究院; 年：2010 期：01 出版单位：西安工业大学学报

摘要

为了能较准确地确定结构系统状态响应的衰减速度,以期取得相对最优的控制效果,引入衰减度的概念,提出建筑结构基于指定衰减度的LQR控制方法.建立了含有衰减度的性能指标,依据极大值原理,推导了控制律的表达式.以一个三层剪切型建筑结构模型为例来验证控制方法的有效性.算例数值分析结果表明,所提出的控制方法控制效果优于常规的LQR控制方法,能有效地减小结构的地震峰值响应.
Based on the advantage of the exponent function,in this paper a new LQR control with constraint decay rate is presented for application to seismically-excited buildings.The seismological response is reduced at a definite decay rate by using the new method and the peak values of the seismological response is much smaller than those by using the traditional LQR control method.The topics of the motion equation and the design of control law are discussed.Under the second topic,based on the new performance index involving constraint decay rate and optimal control theory,a optimal control equation is derived as the control law.Finally the MDOF(Multiple Degree of Freedom) shear building model containing an active brace system is numerically simulated.The simulation results show preliminary that the control method presented in this paper is quite effective.

引文

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