应用 H∞ 控制原理 ,研究了具有复合摄动的振动响应的主动控制系统对外扰响应衰减的鲁棒控制设计问题 ,提出了设计鲁棒控制器的方法 ,其思路是 :先选取鲁棒加权函数 ,虚拟评价函数 ,将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。数值仿真表明 ,本文的方法对复合摄动具有较强的鲁棒性 ,同时能有效抑制外扰 The H∞ control theory is used to study the robust control design of the active control system with complex perturbation vibration response. The robust controller design method is proposed. The idea is to first select the robust weighting function , Virtual evaluation function, the robust performance design of the complex perturbation problem is transformed into the robust performance design of the parametric uncertain system, then the parameter uncertainty problem is transformed into the standard H∞ control problem solution. Numerical simulation shows that the proposed method is robust to complex perturbation and can effectively suppress external disturbances