【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。更多还原

【Abstract】 Based on linear matrix inequalities(LMIs),a new method for the design of robust H∞ controllers for linear systems with parameter uncertainties is proposed.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 techniques 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.更多还原