振动鲁棒控制研究Ⅱ—仿真算例

以柔性悬臂梁为对象，采用压电作动器和传感器，基于 控制理论设计鲁棒控制器，对梁进行振动控制。详细给出了控制器设计过程，包括模型参数误差，模型不确定性加权函数的选择以及性能加权函数的设计。对闭环系统进行了全面的仿真分析，在时域和频域对比了开环和闭环的性能，考察了参数摄动时闭环的鲁棒稳定性。分析结果验证了 控制理论用于结构振动控制的有效性。

Structural dynamics modeling for robust vibration control in consideration of uncertainties

Vibration control was implemented on a flexible cantilever beam with piezoelectric sensor and actuator. The controller was designed by using μ control theory. The design process was described in detail, including the parameter errors of the model, the uncertainty weight functions and the performance weight functions. Simulations were carried out to made comparison between closed system and open system. And the robust stability of the closed system was also validated when the parameters of model are disturbed. The results verify that the μ control theory is effective on structural vibration control.