| 非线性梁压电分阶最优减振控制 |
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| 引用本文： | 刘灿昌,刘露,柴山,李红艳. 非线性梁压电分阶最优减振控制[J]. 噪声与振动控制, 2011, 31(6): 38-42. DOI: 10.3969/j.issn.1006-1355-2011.05.009 |
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| 作者姓名： | 刘灿昌 刘露 柴山 李红艳 |
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| 作者单位： | （ 山东理工大学 交通与车辆工程学院， 山东 淄博 255049 ） |
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| 基金项目： | 山东省自然基金项目资助（基金号：Y2007A33） |
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| 摘 要： | 提出非线性的分阶最优控制方法，并将其应用于梁的非线性振动压电减振控制。建立梁压电减振系统动力学模型，导出减振系统的非线性动力学运动微分方程，利用摄动法，实现非线性微分方程的线性化。将各阶线性方程解耦，化为状态空间方程。设计非线性分阶控制器，对减振系统进行分阶最优控制。仿真算例验证这种控制方法的有效性。
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| 关 键 词： | 振动与波 减振 最优控制 压电 梁 非线性控制 |
| 收稿时间： | 2010-11-17 |
| 修稿时间： | 2011-04-06 |
Piezoelectric Graded Optimal Control for Vibration Reduction of Non-linear Beam |
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| LIU Can-chang,LIU Lu,CHAI Shan,LI Hong-yan. Piezoelectric Graded Optimal Control for Vibration Reduction of Non-linear Beam[J]. Noise and Vibration Control, 2011, 31(6): 38-42. DOI: 10.3969/j.issn.1006-1355-2011.05.009 |
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| Authors: | LIU Can-chang LIU Lu CHAI Shan LI Hong-yan |
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| Affiliation: | ( School of Transport and Vehicle Engineering, Shandong University of Technology,Zibo 255049, Shandong China ) |
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| Abstract: | A non-linear graded optimal control scheme is proposed and used in the piezoelectric vibration reduction control of non-linear beams. The dynamic model of a non-linear vibration reduction beam with piezoelectric damper is built. The non-linear dynamic differential equations of the vibration reduction system are deduced. The differential equation is linearized into a set of linear equations by means of perturbation. The state space equations are obtained by decoupling in the space coordinates. The vibration reduction system is controlled by the non-linear graded controllers. |
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| Keywords: | vibration and wave vibration reduction optimal control piezoelectric beam non-linear control |
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