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挠性板振动抑制的敏感器与驱动器优化配置
引用本文:邱志成.挠性板振动抑制的敏感器与驱动器优化配置[J].宇航学报,2002,23(4):30-36.
作者姓名:邱志成
作者单位:中国空间技术研究院北京控制工程研究所,北京,100080
基金项目:国家自然科学基金资助项目 ( 6 0 0 340 10 )
摘    要:本文针对挠性板结构的主动振动控制问题,推导了悬臂板系统压电控制方程,利用方程的输入输出矩阵和板系统的固有特性(包括固有频率和结构阻尼比),给出一种压电敏感器/驱动器同位配置的优化方法。该方法根据每个敏感器/驱动器对相应模态的能观度/能控度的贡献大小,对板系统的每个驱动器输入到敏感器输出相应模态的范薮 进行适当加权后,得到模态范数矩阵,并由此利用2-范数和无穷-范数引出敏感器/驱动器可选位置的优化配置指标。

关 键 词:挠性板  主动振动控制  压电敏感器  驱动器  航天器结构  优化配置
文章编号:1000-1328(2002)04-0030-07
修稿时间:2001年12月9日

Optimal placement of sensors and actuators for flexible plate of vibration suppression
QIU Zhi-cheng.Optimal placement of sensors and actuators for flexible plate of vibration suppression[J].Journal of Astronautics,2002,23(4):30-36.
Authors:QIU Zhi-cheng
Abstract:A kind of optimal placement method for piezoelectric actuators/sensors in active vibration suppression of flexible plate is developed based on the degree of observability and controllability.Firstly,the piezoelectric control equation using distributed piezoelectric actuators for cantilever plate including bending and torsion modes is derived.Secondly,utilizing the equation and the inherent identity of the plate (including natural frequency and damping ratio),the modal norms from input to output are properly weighted according to the contribution to observability and controllability,and the matrix of norm is found.Finally,the optimal placement indices of the candidate sensor and actuator locations are obtained by means of two-norm and infinity-norm.
Keywords:Flexible plate  Active vibration control  Sensor/actuator  Observability/controllability  Optimal placement
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