| 线性离散时滞重复过程的H∞控制 |
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| 引用本文： | 徐建明,俞 立,熊远生.线性离散时滞重复过程的H∞控制[J].控制理论与应用,2008,25(6):1113-1116. |
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| 作者姓名： | 徐建明 俞 立 熊远生 |
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| 作者单位： | 1. 浙江工业大学,信息工程学院,浙江,杭州,310014
2. 浙江工业大学,信息工程学院,浙江,杭州,310014;嘉兴学院,机电工程学院,浙江,嘉兴,314001 |
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| 基金项目： | 国家杰出青年科学基金资助项目(60525304). |
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| 摘 要： | 首先给出了线性离散时滞重复过程的2D(两维)Roesser模型, 采用线性矩阵不等式方法导出了过程稳定并具有H∞扰动抑制度的一个充分条件. 通过求一个线性矩阵不等式的可行解来构造系统的一个状态反馈H∞控制器. 进一步, 通过求解一个线性矩阵不等式凸优化问题得到该过程的最优状态反馈H∞控制器.
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| 关 键 词： | 重复过程 时滞 稳定性 H∞控制 线性矩阵不等式 |
| 收稿时间： | 2007/3/20 0:00:00 |
| 修稿时间： | 2008/1/18 0:00:00 |
H-infinity control for discrete linear repetitive processes with time-delay |
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| XU Jian-ming,YU Li and XIONG Yuan-sheng.H-infinity control for discrete linear repetitive processes with time-delay[J].Control Theory & Applications,2008,25(6):1113-1116. |
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| Authors: | XU Jian-ming YU Li and XIONG Yuan-sheng |
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| Affiliation: | College of Information Engineering, Zhejiang University of Technology, Hangzhou Zhejiang 310014, China;College of Information Engineering, Zhejiang University of Technology, Hangzhou Zhejiang 310014, China;College of Information Engineering, Zhejiang University of Technology, Hangzhou Zhejiang 310014, China; College of Mechanical & Electrical Engineering, Jiaxing University, Jiaxing Zhejiang 314001, China |
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| Abstract: | The discrete linear repetitive process with time-delay is described by a 2-D state-space Roesser model. A sufficient condition is derived for this process to be stable and to have an H-infinity disturbance attenuation via the linear matrix inequality(LMI) approach. A state feedback H-infinity controller is then developed by solving a certain LMI. Furthermore, the optimal state-feedback H-infinity controller is obtained by solving a convex optimization problem with LMI constraints. |
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| Keywords: | repetitive processes time-delay stability H-infinity control LMI |
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