| 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.[点击复制] |
| XU Jian-ming,YU Li,XIONG Yuan-sheng.H-infinity control for discrete linear repetitive processes with time-delay[J].Control Theory and Technology,2008,25(6):1113~1116.[点击复制] |
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| 线性离散时滞重复过程的H∞控制 |
| H-infinity control for discrete linear repetitive processes with time-delay |
| 摘要点击 1266 全文点击 1106 投稿时间：2007-03-20 修订日期：2008-01-18 |
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| DOI编号 |
| 2008,25(6):1113-1116 |
| 中文关键词 重复过程 时滞 稳定性 H∞控制 线性矩阵不等式 |
| 英文关键词 repetitive processes time-delay stability H-infinity control LMI |
| 基金项目 国家杰出青年科学基金资助项目(60525304). |
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| 中文摘要 |
| 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. |
| 英文摘要 |
| 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. |