压电柔性结构振动的鲁棒控制

杨海峰; 王晓军; 邱志平

压电柔性结构振动的鲁棒控制

北京航空航天大学航空科学与工程学院, 北京 100191

基金项目: 国家杰出青年科学基金资助项目(10425208); 高等学校学科创新引智计划资助项目(B07009); 凡舟青年科研基金资助项目(20080503)

详细信息

作者简介:
杨海峰(1985-),男,河北秦皇岛人,硕士生, buaayhf@sina.com.

中图分类号: TB 53
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出版历程
- 收稿日期: 2008-07-14
- 网络出版日期: 2009-08-31

Robust vibration control of flexible piezoelectric structure

School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要

摘要: 针对具有多面体型参数不确定性和外界扰动的柔性悬臂梁系统,研究其振动的鲁棒控制问题.基于压电柔性悬臂梁系统的状态方程,利用一种扩展LMI(Linear Matrix Inequality),对柔性悬臂梁的振动提出了改进的 H₂/H_∞ 综合状态反馈鲁棒控制方法.此方法针对多面体型参数不确定性系统引入不同的Lyapunov函数,降低了原来 H₂/H_∞ 综合鲁棒控制方法中由于使用一个公共Lyapunov函数而产生的保守性.通过Matlab分别采用改进和未改进的 H₂/H_∞ 鲁棒控制方法对柔性悬臂梁系统的振动控制进行了数值仿真.仿真结果表明,2种方法都使柔性悬臂梁的振动得到了良好控制,而改进方法的控制效果更好.
- 压电材料 /
- 悬臂梁 /
- 不确定系统 /
- 振动控制 /
- 鲁棒性 /
- 状态反馈
Abstract: The robust vibration control for the flexible cantilever beam system with polytopic-type uncertainties and environmental disturbances is studied. Based on the state equation, the improved multi-objective H₂/H_∞ state-feedback robust control method is proposed for the flexible cantilever beam system by using a kind of extended linear matrix inequality (LMI). The presented method, which introduces multi Lyapunov functions for the polytopic-type uncertainties system, reduces the conservatism stemmed from the single Lyapunov function used in the unimproved method. The robust vibration control for the flexible cantilever beam system is simulated in Matlab by these two methods respectively. The results show that the flexible cantilever beam is well controlled via the two methods, and the improved method gets a better result.
- piezoelectric materials /
- cantilever beam /
- uncertain systems /
- vibration control /
- robustness /
- state-feedback

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参考文献(1)

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