航空学报 > 2007, Vol. 28 Issue (1): 111-114

考虑扰动输入/性能输出分布时作动/传感器配置优化

王锋,唐国金,李道奎   

  1. 国防科技大学 航天与材料工程学院
  • 收稿日期:2005-04-25 修回日期:2006-04-25 出版日期:2007-01-10 发布日期:2007-01-10
  • 通讯作者: 李道奎

Optimal Location of Actuators/Sensors When Taking Into Account Distribution of Distur-bance/Performance

WANG Feng,TANG Guo-jin,LI Dao-kui   

  1. College of Aerospace and Material Engineering, National University of Defense Technology
  • Received:2005-04-25 Revised:2006-04-25 Online:2007-01-10 Published:2007-01-10
  • Contact: LI Dao-kui

摘要:

针对结构振动控制问题,提出了一种考虑扰动输入/性能输出分布信息时作动/传感器的优化配置准则。在降维的模态坐标下建立状态空间形式的结构动力学方程,通过Lyapunov方程求解扰动和作动器的能控性Gramian矩阵,并利用矩阵奇异值分解获得扰动的能控性方向和作动器的能控性方向,通过同时最大化作动器对结构的作动能力以及作动器的能控性方向与扰动的能控性方向的一致性来确定作动器的最优位置。类似思想用于确定传感器的最优位置。以采用压电片为作动器的悬臂梁为例阐述了新准则的应用。

关键词: 振动控制, Gramian矩阵, 作动器, 传感器, 最优配置

Abstract:

A method of selecting the optimal locations of actuators/sensors in vibration control application is proposed which takes into account the distribution of disturbance/performance. The state space dynamics equation of a structure is formed in reduced modal coordinates. Then, the controllability Gramian matrices of the disturbance and the actuators are obtained by solving Lyapunov equations. And the singular value decomposition of their controllability Gramian matrices produces the controllability directions of the disturbance and the actuators.

Key words: vibration , control,  , Gramian , matrix,  , actuator,  , sensor,  , optimal , location

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