| 具有极点约束的线性振动系统的一种主动控制设计:LMI方法 |
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| 引用本文： | 张家凡,郑晓,胡志刚.具有极点约束的线性振动系统的一种主动控制设计:LMI方法[J].振动与冲击,2002,21(3):67-69. |
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| 作者姓名： | 张家凡 郑晓 胡志刚 |
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| 作者单位： | 武汉工业学院机械工程系,武汉,430023 |
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| 基金项目： | 武汉工业学院科研项目 (2 0 0 1B0 1 30 ) |
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| 摘 要： | 本文讨论具有闭环极点约束的线性振动系统状态反馈主动控制设计问题。极点约束集是左半复平面上一个由圆形和带状区域构成的凸域，以闭环系统的H2指标为优化目标，将该设计问题转化成一个易于计算的线性矩阵不等式（LMI）约束的凸优化问题求解。最后运用本文方法对一个双层隔振系统模型进行状态反馈控制设计，并给出数值仿真结果。
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| 关 键 词： | 极点约束 线性振动系统 主动控制设计 LMI方法 状态反馈 H2控制 区域极点配置 线性矩阵不等式 |
| 修稿时间： | 2002年1月29日 |
ACTIVE CONTROL DESIGN FOR LINEAR VIBRATION SYSTEMS WITH REGIONAL POLE PLACEMENT:AN LMI APPROACH |
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| Zhang Jiafan,Zheng Xiao,Hu Zhigang.ACTIVE CONTROL DESIGN FOR LINEAR VIBRATION SYSTEMS WITH REGIONAL POLE PLACEMENT:AN LMI APPROACH[J].Journal of Vibration and Shock,2002,21(3):67-69. |
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| Authors: | Zhang Jiafan Zheng Xiao Hu Zhigang |
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| Abstract: | A state-feedback active control design for linear vibration systems with regional pole placement is discussed.The regional pole constraints area is the intersection of a vertical strip and a disk in the open left-half complex plane.Taking the H 2 performance of the closed-loop vibration systems as a optimization objective,the design problem is converted into a convex optimization problem with linear matrix inequalities(LMIs) constraints,which is numerically tractable,Finally as an example a state-feedback control design of a two-storeyed isolation system is presented by using the method in the paper and the numerical simulation results are given out. |
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| Keywords: | vibration state-feedback H 2 control regional pole placement linear matrix inequalities |
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