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工程力学  2013 

建筑结构基于LMI的鲁棒非脆弱H∞控制

DOI: 10.6052/j.issn.1000-4750.2011.11.0784, PP. 204-210

Keywords: 非脆弱,鲁棒H∞控制,线性矩阵不等式,建筑结构,性能指标

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Abstract:

考虑一维地震动作用和结构参数不确定性影响,提出一种基于线性矩阵不等式(LinearMatrixInequalities,LMI)的鲁棒非脆弱H∞控制方法。引入工程中常用的二次型最优指标,并应用线性矩阵不等式减小求解的复杂度,使得控制器的性能指标容易衡量,设计相对简单,便于工程应用。以一个三层剪切型结构模型为例进行数值分析,并与传统H∞控制方法进行对比,仿真结果初步表明:1)所提方法具有很好的控制效果和鲁棒性;2)合理地计算结构参数值,可使控制系统在具有最优反应品质的前提下,获得相对更好的鲁棒性和非脆弱性。

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