机敏约束层阻尼H_∞混合灵敏度控制研究  

H_∞ mixed sensitivity control for smart constrained layer damping

作　　者：王攀[1] 廖海辰 邓兆祥[1,2] 鲁俊[1] 王正亚[1] 

机构地区：[1]重庆大学汽车工程学院,重庆400044 [2]汽车噪声振动与安全技术国家重点实验室,重庆400039

出　　处：《振动与冲击》2016年第23期168-173,共6页Journal of Vibration and Shock

基　　金：国家"863"计划项目号(2012AA111803);中央高校基本科研业务费(CDJZR12110006)

摘　　要：以SCLD对边约束板结构为研究对象,采用H_∞混合灵敏度控制算法对机敏约束结构振动主动控制问题展开研究;基于有限元单元法,引入GHM模型建立了系统的动力学模型。采用动力缩聚和内平衡相结合的降阶方法,获得了可控可观的控制模型。提出H_∞混合灵敏度控制算法加权函数选取方法并设计出H_∞鲁棒控制器。最终在不同外扰激励下对实际控制效果进行了试验验证。结果表明:根据所设计出的鲁棒H_∞控制器对板结构主动控制取得良好的效果,衰减正弦激励振动响应幅值≈40%,衰减白噪声激励振动响应均方根值18%。The vibration active control of piezoelectric smart constrained layer damping technology was studied using the mixed sensitivity method of H∞ robust control theory.A system dynamic model for a plate structure with SCLD was established based on the FE method and GHM damping model.The controllable and observable control model was obtained by using the dynamic condensation method and the inner balance method.Here,the general selection method of weighted functions for H∞ mixed sensitivity control algorithm was proposed and H∞ robust controller was designed. Finally,tests were performed under different external disturbance excitations.The results showed that the effects of H∞robust controller designed with the proposed method on the vibration active control of the plate structure are good;the plate＇s vibration response amplitudes to a sine excitation are attenuated nearly 40%;the plate＇s RMS vibration responses to white noise excitation are attenuated nearly 18%.

关 键 词：振动 主动控制 机敏约束层阻尼 H∞混合灵敏度 加权函数 

分 类 号：TH113[机械工程—机械设计及理论] O327[理学—一般力学与力学基础]