中文摘要：

针对双层板结构声有源控制（ASAC）的应用实施过程中全局控制目标函数和误差信号的获取问题,提出了基于辐射模态和结构误差传感的声传输有源控制的思想和策略,建立了双层板腔结构声传输系统及辐射模态控制分析模型。在此基础上对双层板腔声传输有源控制进行了数值仿真和分析研究,重点探讨了控制方法策略及系统参数对有源控制效果的影响及其对应的控制机理。结果表明：在低频范围内,仅需控制前四阶辐射模态声功率,便能和总的辐射声功率最小控制效果基本一样;在低频段声腔（0,0,0）模态在系统耦合响应中起主导作用,因此相比入射板和辐射板作动器控制,利用腔中次级声源作动的控制策略是一种更好的控制策略。

英文摘要：

An analytical model is developed for active control of structural acoustic transmission through the double panel-cavity structure by using radiation modes,in which the incident panel piezoelectric（PZT） actuator,acoustic actuator in cavity and radiating panel PZT actuator are considered.The formulation for calculating the modal response of the structural-acoustic coupled system is derived in forms of the impedance-mobility matrix.Aiming to achieve the global cost functions during the practical implementation of an ASAC system,control strategies and structural sensing by using radiation modes are proposed for active control of sound transmission through the double-panel structure system.On the basis of developed theoretical model,active control of sound transmission is studied analytically and numerically to compare the control performance between different control strategies and examine the dominant control mechanisms involved in each control case and the effect of system parameters on control performance.The results show that in low frequency range global sound attenuation similar to the minimization of the radiated sound power can be obtained provided that only modal sound power corresponding to the first four radiation modes is minimized.The strategy using the secondary acoustic source in the cavity to minimize the first several radiation modes is a better control strategy compared to the other control ones due to the dominance of the acoustic mode（0,0,0） in the modal couplings and energy transmission in the low frequency range.