摘 要：针对加筋壁板结构的多模态主动振动控制中存在输出叠加和控制输入耦合的问题，结合多回路线性扩张状态观测器(multi-LESO)和线性PD反馈控制律，设计一种不依赖结构数学模型的多模态线性自抗扰复合振动主动控制策略。首先，将其它模态的输出叠加和控制输入耦合看成是广义干扰，每个独立回路的线性扩张状态观测器能够估计出这种广义干扰，再通过前馈补偿的方式抵消这种影响；然后分别独立设计每个独立模态的线性PD控制器。最后，基于dSPACE实时仿真系统，建立了四面固支压电加筋壁板结构的主动振动控制试验平台，进行了几种激励情况下的多模态线性自抗扰振动控制实验。结果表明，提出的方法不仅能够有效的抑制加筋壁板结构由于前两阶共振频率引起的振动，而且具有良好的抑制不确定因素引起的整个结构波动的能力。

Abstract: In order to overcome the weakness of the output superposition and the control input coupling of the multi-modal active vibration control, a multi-modal linear auto-disturbance rejection composite active vibration control strategy was designed using multi-loop linear extended stated observer(multi-LESO) plus PD feedback controller. The composite control strategy is independent of the mathematical model of the structure. First, the output superposition and the control input coupling of other modes were considered as a generalized disturbance. The linear ESO of each individual loop can estimate the generalized disturbances, and remove the effects by feed-forward compensation. Then, the linear PD controller for each single mode was designed, respectively. Last, in order to verify the proposed algorithm, the dSPACE real-time simulation platform was used and an experimental platform for the all-clamped stiff-ened panel structure active vibration control was set-up. The experiment results following the several situations demonstrated that the proposed vibration control strategy not only effectively suppressed the vibration excited by first two resonance frequencies of the stiffened panel, but also had the capability of suppression fluctuation caused by uncertain factors.