| 非脆弱离散重复控制的二维模型方法 |
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| 引用本文： | 袁松贵,吴敏,何勇,付成宏.非脆弱离散重复控制的二维模型方法[J].系统科学与数学,2010,30(6):840-849. |
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| 作者姓名： | 袁松贵 吴敏 何勇 付成宏 |
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| 作者单位： | 1. 中南大学信息科学与工程学院,长沙,410083;长沙理工大学电气与信息工程学院,长沙,410076
2. 中南大学信息科学与工程学院,长沙,410083 |
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| 基金项目： | 国家自然科学基金，湖南省教育厅科研项目 |
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| 摘 要： | 针对一类线性离散系统,提出一种基于二维模型的非脆弱离散重复控制设计方法.通过独立地考虑重复控制系统的控制与学习行为,建立离散重复控制系统的二维模型. 在此基础上,针对重复控制器和反馈控制器具有不确定性的离散重复控制系统,给出了基于线性矩阵不等式的系统稳定性条件和重复控制律. 最后,数值仿真实例验证了所提方法的有效性.
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| 关 键 词： | 离散系统 重复控制 二维系统 非脆弱控制 线性矩阵不等式. |
| 收稿时间： | 2010-5-10 |
ON TWO-DIMENSION MODEL METHOD OF NON-FRAGILE DISCRETE-TIME REPETITIVE CONTROL |
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| YUAN Songgui,WU Min,HE Yong,FU Chenghong.ON TWO-DIMENSION MODEL METHOD OF NON-FRAGILE DISCRETE-TIME REPETITIVE CONTROL[J].Journal of Systems Science and Mathematical Sciences,2010,30(6):840-849. |
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| Authors: | YUAN Songgui WU Min HE Yong FU Chenghong |
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| Institution: | (1)Central South University, Changsha 410083; Changsha University of Science and Technology, Changsha 410076;(2)Central South University, Changsha 410083 |
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| Abstract: | A design method for a non-fragile repetitive control based on two-dimensional model is proposed for a class of linear discrete-time systems. The characteristics of the control and learning processes is considered to establish a two-dimensional model for the discrete repetitive control systems. Then, the stability condition and the non-fragile repetitive control law for the discrete repetitive control system with the uncertainties in the repetitive controller and feedback controller are obtained in terms of the linear matrix inequality. Finally, a numerical example is given to verify the effectiveness of the proposed method. |
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| Keywords: | Discrete-time systems repetitive control two-dimensional systems non-fragile control linear matrix inequality |
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