| Delta算子系统具有极点约束的鲁棒非脆弱方差控制 |
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| 引用本文： | 肖民卿,陈金玉,曹长修. Delta算子系统具有极点约束的鲁棒非脆弱方差控制[J]. 控制理论与应用, 2008, 25(6): 1139-1141 |
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| 作者姓名： | 肖民卿 陈金玉 曹长修 |
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| 作者单位： | 重庆大学,自动化学院,重庆,400030;福建师范大学,数学与计算机科学学院,福建,福州,350007;重庆大学,自动化学院,重庆,400030 |
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| 基金项目： | 福建省教育厅科技基金资助项目(JA04169). |
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| 摘 要： | 研究Delta算子描述的线性不确定系统具有圆形区域极点约束的鲁棒非脆弱方差控制问题. 针对系统参数范数有界不确定性和控制器的乘性增益不确定性, 运用线性矩阵不等式(LMI)方法, 提出具有圆形区域极点约束的状态反馈鲁棒非脆弱方差控制器存在的条件和设计方法. 数值算例表明设计方法的可行性.
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| 关 键 词： | 鲁棒方差控制 Delta算子系统 非脆弱控制 控制器增益不确定性 |
| 收稿时间： | 2007-04-27 |
| 修稿时间： | 2007-12-25 |
Robust non-fragile variance control for Delta-operator systems with disk-pole constraints |
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| XIAO Min-qing,CHEN Jin-yu and CAO Chang-xiu. Robust non-fragile variance control for Delta-operator systems with disk-pole constraints[J]. Control Theory & Applications, 2008, 25(6): 1139-1141 |
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| Authors: | XIAO Min-qing CHEN Jin-yu CAO Chang-xiu |
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| Affiliation: | College of Automation, Chongqing University, Chongqing 400030, China; School of Mathematics and Computer Science, Fujian Normal University, Fuzhou Fujian 350007, China;College of Automation, Chongqing University, Chongqing 400030, China;College of Automation, Chongqing University, Chongqing 400030, China |
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| Abstract: | The robust non-fragile variance control for the Delta-operator-formulated linear uncertain systems with diskpole constraints is studied. The aim is to design a robust non-fragile state feedback controller which satisfies the diskpole and variance constraints. With the norm-bounded parameter uncertainty in the system and the multiplicative gain uncertainty in the controller, we derive a sufficient condition for the existence of such controllers via the linear matrix inequality (LMI) approach, and present a design procedure of these controllers. A numerical example is provided to illustrate the design method. |
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| Keywords: | robust variance control Delta operator system non-fragile control controller gain variation |
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