Design of robust output-feedback repetitive controller for class of linear systems with uncertainties

Repetitive control, which adds a human-like learning capability to a control system, is widely used in many fields. This paper deals with the problem of designing a robust repetitive-control system based on output feedback for a class of plants with time-varying structured uncertainties. A continuou...

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Bibliographic Details
Published in:Science China. Information sciences 2010-05, Vol.53 (5), p.1006-1015
Main Authors: Wu, Min, Zhou, Lan, She, JinHua, He, Yong
Format: Article
Language:English
Subjects:
Computer Science
Control systems
Design engineering
Information Systems and Communication Service
Learning
Linear matrix inequalities
Linear systems
Mathematical models
Output feedback
Repetitive control
Repetitive controllers
Research Papers
Robust control
Two dimensional models
Uncertainty
不确定性线性系统
二维混合模型
控制系统
时变不确定性
线性矩阵不等式
输出反馈控制器
重复控制器
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Summary:Repetitive control, which adds a human-like learning capability to a control system, is widely used in many fields. This paper deals with the problem of designing a robust repetitive-control system based on output feedback for a class of plants with time-varying structured uncertainties. A continuous-discrete two-dimensional hybrid model is established that accurately describes the features of repetitive control so as to enable independent adjustment of the control and learning actions. A sufficient condition for the robust stability of the repetitivecontrol system is given in terms of a linear matrix inequality. The condition is then used to obtain the parameters of the repetitive controller. Finally, a numerical example demonstrates the effectiveness of the method.
ISSN:1674-733X
1869-1919
DOI:10.1007/s11432-010-0095-8