可控约束阻尼层结构的H_∞控制

H_∞ Control of the Structure with Controllable Constrained Damping Layer

建立了可控约束阻尼层板的一般控制微分方程。对附加可控约束阻尼层的悬臂矩形板进行了实验与理论建模 ,详细分析了模型中的不确定性 ,并进行了 H∞ 鲁棒振动控制的数值仿真与实验研究。结果表明 ,H∞ 控制能够有效抑制受控结构的模态振动 ,与位移比例反馈控制相比 ,具有更好的鲁棒稳定性。

The modelling problem of the structure with controllable constrained damping layer is fully discussed in this paper. The uncertainties in theoretical model of the plate are analyzed through calculation and experimentation. H ∞ robust vibration control is then studied by employing the mixed sensitivity design method. The numerical simulations and the experimental results show H ∞ control provides more robust stability than those by the displacement proportional feedback control. At the same time it can also effectively suppress the modal vibration of the cantilever rectangular plate with controllabe constrained damping layer under the external disturbance.