| 引用本文: | 高维金,王亮,刘永光.作动器最优配置的柔性结构振动主动控制.[J].国防科技大学学报,2018,40(1):161-167.[点击复制] |
| GAO Weijin,WANG Liang,LIU Yongguang.Active vibration control with optimal actuator for flexible structures[J].Journal of National University of Defense Technology,2018,40(1):161-167[点击复制] |
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| 作动器最优配置的柔性结构振动主动控制 |
| 高维金, 王亮, 刘永光 |
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(北京航空航天大学 自动化科学与电气工程学院, 北京 100191)
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| 摘要: |
| 柔性结构广泛应用于航空航天等领域，为了获得结构的最佳动力学性能，在主动振动控制中作动器或传感器位置优化成为关键。基于结构有限元动力学方程，在状态空间利用系统可控和可观Gramian矩阵考虑结构剩余模态的影响,推导一种新的作动器/传感器优化准则。根据优化准则结合非线性整数规划遗传算法对作动器的位置进行配置。以悬臂板为研究对象，采用基于状态反馈的线性二次型调节器研究悬臂板的振动控制效果。与其他配置方法进行比较，验证了新方法的优越性。 |
| 关键词: 柔性结构 Gramian 矩阵 优化准则 非线性整数规划遗传算法 振动主动控制 |
| DOI：10.11887/j.cn.201801025 |
| 投稿日期：2016-11-16 |
| 基金项目:国家自然科学基金资助项目（11272026） |
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| Active vibration control with optimal actuator for flexible structures |
| GAO Weijin, WANG Liang, LIU Yongguang |
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(School of Automation Science and Electrical Engineering,
Beijing University of Aeronautics and Astronautics, Beijing 100191, China)
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| Abstract: |
| Flexible structures are widespreadly applied in fields of aerospace. In order to obtain the best dynamic performance of the structures, the optimal locations of actuator and sensor become a key problem in active vibration control. The new proposed optimization criteria based on finite element dynamic equation ensuring good controllability or observability of the structures and considering the remaining modes effect were derived. Non-linear integer programming genetic algorithm was utilized to find the optimal positions of actuator and sensor. A cantilever plate was simulated by using state-feedback linear quadratic regulation controller to validate the vibration suppression effects. The comparison results of numerical simulation demonstrate the advantages of the proposed method. |
| Keywords: flexible structures Gramian matrix optimization criterion non linear integer programming genetic algorithm active vibration control |
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