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基于线性矩阵不等式(LMI)的建筑结构抗震H_∞控制
H_∞ control for seismic-excited buildings based on linear matrix inequalities(LMI)
【摘要】 本文从H∞干扰抑制理论出发,基于线性矩阵不等式设计了建筑结构在地震作用下的状态反馈最优H∞控制器及γ-次优H∞控制器。分析了评价指标对地震的抑制效果及其意义。控制器的设计不需要考虑外界干扰输入信号,而且算法简单,在线时间短。通过算例分析证实了这种控制器能够有效抑制地震干扰。
【Abstract】 The authors of this paper design an optimal and a subopimal H∞ controller with states feedback based on H∞ disturbance attenuation and linear matrix inequalities.Designing this controllers needn′t deal with seismicsignal .This method takes little time online and calculates directly and simply.Furthermore, the authors analyse the influence of evaluation signal on seismic excitation attenuation.Finally, an example is given in this paper.The results of numerical analysis and comparion demonstrate that these controllers can restrain the seismic excitations.
【关键词】 H∞控制;
线性矩阵不等式;
地震干扰抑制;
【Key words】 H_∞ control; linear matrix inequalities; seismic excitation attenuation;
【Key words】 H_∞ control; linear matrix inequalities; seismic excitation attenuation;
【基金】 福建省自然科学基金项目(E0110014).
- 【文献出处】 地震工程与工程振动 ,Earthquake Engineering and Engineering Vibration , 编辑部邮箱 ,2003年05期
- 【分类号】TU352.1
- 【被引频次】9
- 【下载频次】145