应用 H∞ 控制原理 ,研究结构声辐射主动控制系统在复合摄动下对外扰响应衰减的鲁棒问题。将未建模动态作为系统的附加干扰 ,把复合摄动问题的鲁棒性能设计转化为参数不确定系统的鲁棒性能设计 ,然后将参数不确定问题转化为标准 H∞ 控制问题求解。仿真结果表明 ,系统对复合摄动具有较强的鲁棒性 ,并能有效地抑制外扰。 The H∞ control theory is applied to study the robust problem that the structure-borne sound-radiation active control system should attenuate outwardly under compound perturbation. The unmodeled dynamics is regarded as an additional disturbance of the system, and the robust performance design of the complex perturbation problem is transformed into the robust performance design of the parametric uncertain system. Then, the problem of parameter uncertainty is transformed into the standard H∞control problem. Simulation results show that the system is robust to complex perturbation and can effectively suppress external disturbances.