| 不确定性拉索非线性随机振动的最优控制 |
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| 引用本文： | 张 巍,应祖光,胡荣春.不确定性拉索非线性随机振动的最优控制[J].噪声与振动控制,2014,34(1):44-46. |
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| 作者姓名： | 张 巍 应祖光 胡荣春 |
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| 作者单位： | （ 1. 浙江理工大学 经济管理学院实验中心， 杭州 310018；2. 浙江大学 航空航天学院力学系， 杭州 310027 ） |
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| 基金项目： | 国家自然科学基金项目（11072215） |
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| 摘 要： | 为实施不确定性斜拉索非线性随机振动的最优控制，建立受控拉索的横向非线性运动方程，运用伽辽金法推导多模态耦合的振动方程。同时，考虑系统的不确定参数，建立不确定性系统的随机最优控制问题。随后，应用随机平均法、微分对策理论与动态规划方法确定HJI方程并得到极大极小控制律，最后通过数值结果说明该最优控制对于斜拉索非线性随机振动能够达到较好控制效果。
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| 关 键 词： | 振动与波 最优控制 不确定性 非线性随机振动 拉索 |
| 收稿时间： | 2013-05-09 |
Optimal Control of Nonlinear Random Vibration of an Inclined Taut Cable with Uncertainties |
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| ZHANG Wei,YING Zu-guang,HU Rong-chun.Optimal Control of Nonlinear Random Vibration of an Inclined Taut Cable with Uncertainties[J].Noise and Vibration Control,2014,34(1):44-46. |
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| Authors: | ZHANG Wei YING Zu-guang HU Rong-chun |
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| Affiliation: | 1. Laboratory Center, School of Economics and Management, Zhejiang Sci-Tech University,Hangzhou 310018, China;2. Department of Mechanics, School of Aeronautics and Astronautics, Zhejiang University,Hangzhou 310027, China ) |
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| Abstract: | The optimal control of nonlinear random vibration of an inclined taut cable with uncertainties is studied. Thenonlinear equation for transverse motion of the controlled cable is derived, and then converted into the vibration equationswith multi-mode coupling by using Galerkin method. Considering the uncertainty parameters, the random optimal controlmodel of the uncertainty system is established. Then the HJI equation is determined and the minimum and maximum controllaws are obtained based on the random averaging method, differential game theory and dynamical programming principle.Numerical results show that the proposed optimal control method has a good effectiveness for the nonlinear randomvibration control of the cable. |
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| Keywords: | vibration and wave optimal control uncertainty nonlinear random vibration cable |
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