中文摘要：

针对含有非线性环节与外部激励干扰的结构系统，提出了一种新型的基于LMI的鲁棒H∞振动主动控制算法。首先根据建筑结构动力学原理，建立了包含非线性不确定性的结构系统状态空间模型。然后基于动态输出反馈和线性矩阵不等式处理方法给出了鲁棒主动控制算法，可同时保证系统对模型参数摄动、控制器变化及干扰激励的鲁棒性。在EICentro地震波作用下，对一个4自由度结构模型进行仿真，验证了该方法的有效性和较强的鲁棒性。

英文摘要：

This paper presents a new active control strategy based on dynamic output feedback with enhanced robustness for the structural systems with nonlinear uncertainties and exogenous disturbances. Based on structural dynamics theory, the state-space model of nonlinear uncertain structure system is established. A robust active control algorithm is then presented based on dynamic output feedback and linear matrix inequality, where the robustness against the modeling and parametric perturbation, controller variation and disturbance excitation can be guaranteed, simultaneously. Finally, a four-degrees-of-freedom building model subjected to EI Centro earthquake is considered using this method and the simulation results show that the provided method is effective and robust.