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在空间范数定义的基础上,推导出了结构模态空间范数的计算公式。考虑压电柔性结构振动控制中作动器分布对结构建模与控制性能的影响,利用模态空间范数度量各个模态对结构动力响应的贡献,并对结构进行了模态选择与模型降阶。利用所建立的降阶模型,设计了一个对受外部干扰结构进行振动抑制的动态输出反馈H振动控制器,并与传统的直接截断方法进行了比较。结果表明,模态对系统动力响应的贡献意味着作动器对模态的控制能力,在此基础上设计的结构振动控制器性能明显提高。
Based on the definition of norm of space, the formula for calculating the norm of structure modal space is deduced. Considering the influence of actuator distribution on the structure modeling and control performance in the vibration control of piezoelectric flexible structures, the contribution of each modality to the dynamic response of the structure was measured by using the modal space norm, and the modal selection and model reduction Order. Using the reduced order model, a dynamic output feedback H-vibration controller designed to suppress the external disturbances is designed and compared with the traditional direct truncation method. The results show that the contribution of modal to the dynamic response of the system implies the control ability of the actuator to the modal. On the basis of this, the performance of the structure vibration controller is obviously improved.