谐波干扰作用下柔性结构振动的增益调度H_∞控制

Gain-Scheduled H_∞ Control of Flexible Structure Vibration Undergoing Harmonic Disturbances

针对柔性结构受到随系统运行工况的变化而改变频率的谐波干扰作用下的振动控制问题 ,提出了一种新的增益调度 H∞ 控制器设计方法。首先 ,对谐波干扰信号建模 ,并将该模型与系统结构模型结合形成广义模型。然后 ,选取二次性能指标将谐波干扰作用下振动抑制问题转换为标准的 H∞ 控制器设计问题。最后 ,采用增益调度技术对典型谐波频率所设计 H∞ 控制器的输出进行模糊加权插值 ,从而获得能随谐波干扰频率变化的控制器输出。通过与 L QG和一般的 H∞ 控制器进行数值仿真比较 ,验证了方法的有效性。

This paper presents a gain scheduled H ∞ design approach for the vibration control of flexible structure undergoing harmonic disturbances of which the frequency is varying with the variation of system operating state. Firstly, the harmonic disturbance is simulated and connected with the system model to form a generalized model. Then, the vibration suppression problem with harmonic disturbance is transformed into standard H ∞ control design problem by selecting quadratic performance specification. Finally, the gain scheduling technique is used to get fuzzy weighting interpolation of the H ∞ controller outputs which are designed in allusion to the representative harmonic frequencies, and therefore, the control output is obtained that can vary with the variation of harmonic frequencies. The effectiveness of the approach is verified numerically by the comparing it with a LQG and a general H ∞ controller.