基于声辐射模态的有源结构声辐射系统鲁棒H_∞控制

Robust H_∞ control for an active structure acoustic control system based on radiation modes

以简支板为例,在考虑参数不确定性的情况下,对基于时域声辐射模态的有源结构声辐射系统进行了鲁棒H∞控制研究。首先基于声辐射模态理论,建立了包含不确定性的状态空间模型,然后引入虚拟性能指标将其转化为标准H∞控制模型求解了鲁棒H∞输出反馈控制器。最后进行了仿真计算,结果表明该方法具有较强的稳定鲁棒性和性能鲁棒性。

With an example of a simply supported plate,robust H∞ control approach for an active structure acoustic control system based on radiation modes was investigated.Firstly,based on radiation modes theory,a state space model with uncertainties was developed.Then,it was transformed into a standard H∞ control model,and solved by using linear matrix inequalities.Finally,the simulation results showed that the proposed method is effective and robust.