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| Lurie系统的鲁棒量化控制 | |
| 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. |
| 作者姓名： | 范蓉蓉 张小美 祁恬 陆国平 |
| 作者单位： | 1. 南通大学电气工程学院,江苏南通,226019 2. 南通大学电子信息学院,江苏南通,226019 3. 南理工大学自动化科学与工程学院,东广州,510640 4. 南通大学电气工程学院,江苏南通226019／江苏信息职业技术学院,江苏无锡214513 |
| 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). |
| 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. |
| 关 键 词： | Lurie系统 量化反馈控制 鲁棒控制 小增益定理 |
| 收稿时间： | 2010/4/18 0:00:00 |
| 修稿时间： | 2011/7/20 0:00:00 |
Robust quantized control for Lurie systems |
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| FAN Rong-rong,ZHANG Xiao-mei,QI Tian and LU Guo-ping.Robust quantized control for Lurie systems[J].Control Theory & Applications,2012,29(1):91-96. | |
| Authors: | FAN Rong-rong ZHANG Xiao-mei QI Tian and LU Guo-ping |
| Affiliation: | School of Electrical Engineering, Nantong University,School of Electronics and Information, Nantong University,College of Automation Science and Technology, South China University of Technology,School of Electrical Engineering, Nantong University; Jiangsu College of Information Technology |
| Abstract: | 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. |
| Keywords: | Lurie systems quantized feedback control robust control small gain theorem |
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