| 引用本文: | 范蓉蓉,张小美,祁恬,陆国平.Lurie系统的鲁棒量化控制[J].控制理论与应用,2012,29(1):91~96.[点击复制] |
| FAN Rong-rong,ZHANG Xiao-mei,QI Tian,LU Guo-ping.Robust quantized control for Lurie systems[J].Control Theory and Technology,2012,29(1):91~96.[点击复制] |
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| Lurie系统的鲁棒量化控制 |
| Robust quantized control for Lurie systems |
| 摘要点击 2424 全文点击 1559 投稿时间：2010-04-18 修订日期：2011-07-20 |
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| DOI编号 10.7641/j.issn.1000-8152.2012.1.CCTA100411 |
| 2012,29(1):91-96 |
| 中文关键词 Lurie系统 量化反馈控制 鲁棒控制 小增益定理 |
| 英文关键词 Lurie systems quantized feedback control robust control small gain theorem |
| 基金项目 国家自然科学基金资助项目(60874021, 61004027, 60774057, 60834003); 江苏省自然科学基金资助项目(BK2010275); 江苏省高校“青蓝工程”资助项目; 南通大学自然科学基金资助项目(09ZY002); 中央高校基本业务费资助项目(2009zm0144). |
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| 中文摘要 |
| 研究了Lurie系统的鲁棒量化状态反馈控制问题, 其中的量化器为静态对数量化器. 首先, 根据Lurie系统自身特点以及对数量化器的特性, 将量化状态反馈控制作用下的Lurie系统建模成具有两个扇形约束的不确定系统. 然后分别考虑了没有量化和有量化作用两种情形, 利用小增益定理, 得到了闭环系统内稳定的充分必要条件, 并进一步给出了相应的状态反馈控制律. 最后, 数值例子表明了本文方法的有效性. |
| 英文摘要 |
| The robust quantized state-feedback control for Lurie systems is addressed, where the static logarithmic quantizer is considered. According to the characteristics of the Lurie systems and the properties of the logarithmic quantizer, the Lurie systems with quantized state-feedback control are modeled as uncertain systems with two sector constraints. Then, by applying the small gain theorem, we establish a sufficient and necessary condition of internal stability for the closed-loop system with or without quantization effect, respectively. The corresponding state feedback control law is also developed. A numerical example is given to illustrate the effectiveness of the method proposed. |
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