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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- 被引次数: 19
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)

[1] Chiang R Y, Liu J Y, Bender D J. Integrated robust control design methodology for an advanced spacecraft with flexible structure . AIAA-2008-7013, 2008 [2] Gosavi S V, Kelkar A G. Modelling, identification, and passivity-based robust control of piezo-actuated flexible beam[J]. Journal of Vibration and Acoustics, 2004, 126(2):260-271 [3] 吴大方,刘安成,麦汉超,等. 压电智能柔性梁振动主动控制研究[J].北京航空航天大学学报,2004,30(2):160-163 Wu Dafang, Liu Ancheng, Mai Hanchao, et al. Study on active vibration control of piezoelectric intelligent flexible beam[J]. Journal of Beijing University of Aeronautics and Astronautics, 2004, 30(2): 160-163(in Chinese) [4] 胡举喜,邱志平. 压电层合板振动的鲁棒控制[J].北京航空航天大学学报,2008,34(8):873-877 Hu Juxi, Qiu Zhiping. Using the robust control method to control the vibration of piezoelectric laminated plates[J].Journal of Beijing University of Aeronautics and Astronautics,2008,34(8):873-877(in Chinese) [5] 徐亚兰,陈建军,王小兵. 模型不确定压电柔性结构的鲁棒振动控制[J].机械强度,2006,28(2):185-189 Xu Yalan, Chen Jianjun, Wang Xiaobing. Robust vibration control for uncertain flexible structures[J]. Journal of Mechanical Strength, 2006, 28(2):185-189 (in Chinese) [6] Shaked U. Improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty[J]. IEEE Transactions on Automatic Control, 2001, 46(4):652-656 [7] Apkarian P, Tuan H D, Bernussou J. Continuous-time analysis, eigenstructure assignment, and synthesis with enhanced linear matrix inequalities (LMI) characterizations[J]. IEEE Transactions on Automatic Control, 2001, 46(12):1941-1946 [8] 杨志红,马广富,李传江. 基于扩展LMI的多目标 H₂/H_{∞状态反馈控制综合[J].机电与控制学报,2004,8(4):333-337 Yang Zhihong, Ma Guangfu, Li Chuanjiang. Multi objective H₂/H_{∞ state-feedback control synthesis based on extended LMI characterizations [J]. Electric Macines and Control, 2004, 8(4): 333-337 (in Chinese) [9] Dimitriadis E K, Fuller C R, Rogers C A. Piezoelectric actuators for distributed vibration excitation of thin plates [J]. Journal of Vibration and Acoustics, 1991, 113:100-107 [10] 贾英民. 鲁棒 H _∞控制[M].北京:科学出版社,2007 Jia Yingmin. Robust H _∞ control[M]. Beijing: Science Press, 2007(in Chinese)}}

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