基于声辐射模态的H_∞解耦控制器设计

Design of H_∞Decoupling Controller Based on Acoustic Radiation Modes

根据声辐射模态的特点提出四组控制力布置方法。在此基础上采用H∞算法设计了四个独立的控制器,控制前四阶声辐射模态的伴随系数使辐射声功率最小化。该方法能够将复杂的四输入/四输出控制系统转化为四个独立的单输入/单输出系统,从而使得每组控制力可以单独控制对应阶声辐射模态的伴随系数。模拟仿真结果表明,该方法能够实现系统解耦控制,使辐射声功率明显降低。

According to the features of acoustic radiation modes,an arrangement method of four groups of controlling forces is presented.On this base,four independent controllers are designed by using theH∞algorithm.These controllers can control the adjoint coefficients of the foregoing four acoustic radiation modes so as to minimize the acoustic radiation power. The method converts the complicate control system of four inputs/outputs into four simple independent systems of single input/output.Thus,each group of controlling forces can independently control the corresponding adjoins coefficient.The simulation result indicates that this method can realize decoupling control and decrease the acoustic radiation power obviously.