非脆弱离散重复控制的二维模型方法

袁松贵;吴敏;何勇;付成宏

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (6) : 840-849.

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系统科学与数学 ›› 2010, Vol. 30 ›› Issue (6) : 840-849. DOI: 10.12341/jssms09000
论文

非脆弱离散重复控制的二维模型方法

    袁松贵(1), 吴敏(2), 何勇(2), 付成宏(1)
作者信息 +

On Two-Dimension Model Method of Non-Fragile Discrete-Time Repetitive Control

    YUAN Songgui(1), WU Min(2), HE Yong(2),, FU Chenghong(1),
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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.

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.

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.

Key words

Discrete-time systems / repetitive control / two-dimensional systems / non-fragile control / linear matrix inequality.

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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. 系统科学与数学, 2010, 30(6): 840-849. https://doi.org/10.12341/jssms09000
YUAN Songgui , WU Min , HE Yong , FU Chenghong. On Two-Dimension Model Method of Non-Fragile Discrete-Time Repetitive Control. Journal of Systems Science and Mathematical Sciences, 2010, 30(6): 840-849 https://doi.org/10.12341/jssms09000
中图分类号: 93D15   
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