地震激励下基于LMI的转子系统振动主动控制

Active vibration control based on linear matrix inequality for rotor system under seismic excitation

为了抑制随机激励作用下转子系统的瞬态振动并使转子系统具有鲁棒性,基于线性矩阵不等式(LMI),为地震激励作用下转子系统的振动主动控制设计了H2、H∞和H2/H∞混合状态反馈控制律.通过Matlab的LMI工具箱对地震激励作用下转子系统的振动主动控制进行了研究,分析了非平稳El Centro地震激励作用下转子系统在H2/H∞混合控制作用下的频域和时域特性,验证了H2/H∞混合控制在转子系统振动控制中的可行性和有效性.结果表明,所提出的H2/H∞混合控制策略能有效抑制地震激励作用下转子系统的瞬态振动并使转子系统保持较强的鲁棒性能,转子系统的频域和时域特性得到了有效改善.

H2, H∞ and mixed H2/H∞ state feedback control strategies for the rotor system under seismic excitation were developed by linear matrix inequality （LMI） to attenuate the transient vibration of the rotor system under random excitation and make it robust. Active vibration control of the rotor system under seismic excitation was investigated by using Matlab LMI tools. Characteristics of the rotor system under nonstationary E1 Centro earthquake excitation in both frequency and time domains were analyzed. The feasibility and effectiveness of the control strategies presented in active vibration control for the rotor system under seismic excitation were verified. The mixed H2/H∞ control strategy can effectively suppress the transient vibration of the rotor system and make it maintain good robust performance. Characteristics of the rotor system in both frequency and time domain were improved.