摘要
基于线性矩阵不等式方法,本文给出了一种新的考虑参数不确定性的鲁棒H∞控制器设计方法,并用于建筑结构的抗震控制。假定结构不确定参数是范数有界的,通过有界实引理,把考虑参数不确定性的鲁棒H∞控制器设计化为具有线性矩阵不等式约束的凸优化问题,进而可以应用内点法等凸优化技术进行求解。以6层建筑结构在Kobe地震动输入和突加Kanai-Tajimi过滤白噪声随机地震激励下的抗震控制为例,进行了数值仿真。数值结果表明,鲁棒H∞控制器具有很强的鲁棒性,无论结构刚度和阻尼是否存在变异,均能实现很好的控制效果。
Based on linear matrix inequalities （LMIs）, linear systems with parameter uncertainties is proposed. a new method for the design of robust H∞ controllers for The parameter uncertainties considered are assumed to be norm-bounded. By introducing bounded real lemma, the robust H∞ controller design is transformed into a convex optimal problem with the constraints of linear matrix inequalities to which the existing convex optimization tech- niques such as the interior-point algorithm can be applied. To illustrate the effectiveness, of the proposed robust H∞ controller, a six-storey building subjected to the 1995 Kobe earthquake record or to a suddenly applied Kanai-Tajimi filtered white noise random excitation is investigated respectively, which shows that whether the stiffness or damping variation exists or not, the proposed robust H∞ controller behaves very satisfactorily.
出处
《地震工程与工程振动》
CSCD
北大核心
2008年第6期226-232,共7页
Earthquake Engineering and Engineering Dynamics
基金
国家自然科学基金项目(10472023
50608012)
关键词
结构控制
鲁棒H∞控制
线性矩阵不等式
参数不确定性
地震激励
structural control
robust H∞ control
linear matrix inequalities
parameter uncertainties
earthquake excitation
