基于LMI的鲁棒H_∞控制建筑结构振动  

Robust H_∞ Control of Building Structure Vibration Based on LMI Approach

作　　者：李志军[1,2] 王社良[1] 

机构地区：[1]西安建筑科技大学土木工程学院,西安710055 [2]西安工业大学建筑工程学院,西安710032

出　　处：《噪声与振动控制》2013年第2期112-116,共5页Noise and Vibration Control

基　　金：国家自然科学基金重大研究计划面上(90715003);国家自然科学基金面上项目(10972168;51178388);国家重点实验室开放项目(08KF02);教育部高等学校博士学科点专项科研基金(200807030002)

摘　　要：针对多层框架结构系统,提出一种基于线性矩阵不等式(Linear Matrix Inequalities,LMI)的鲁棒H∞控制方法。为了使控制方法能相对简单,便用工程应用,将工程中常用的二次型性能指标结合于鲁棒H∞控制系统的分析中,并应用线性矩阵不等式减小求解的复杂度。以一个三层框架结构模型为例进行了仿真,并与传统H∞控制方法进行对比,仿真结果初步表明该方法在保证较好控制效果的条件下具有更强鲁棒性。A new robust H∞ control approach for analysis of multi-story frame structures was presented. This approachcould provide a convenient design procedure for active controllers to facilitate practical implementations of control systems through the use of a quadratic performance index and the use of an efficient solution procedure based on linear matrix inequalities （LMI）. A three-storied frame structure model containing active brace systems was analyzed as an example. In the simulation, the active control forces of the active brace systems were designed by the robust H~ control algorithm, and the structural system uncertainties were assumed in the model errors and seismic disturbance. The simulation results obtained from the proposed control method were compared with those obtained from traditional H∞ control method, which shows preliminarily that the proposed robust H∞ controller has much better performance of robust than the traditional H∞ controller with the same optimal control efficiency.

关 键 词：振动与波 H∞控制 鲁棒 线性矩阵不等式 二次型性能指标 建筑结构 

分 类 号：TU311.4[建筑科学—结构工程] O328[理学—一般力学与力学基础]