H∞ Controller Design for an Observer-Based Modified Repetitive-Control System

This paper presents a method of designing a state-observer based modified repetitive-control system that provides a given H∞ level of disturbance attenuation for a class of strictly proper linear plants. Since the time delay in a repetitive controller can be treated as a kind of disturbance, we conv...

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Bibliographic Details
Published in:International Journal of Engineering Mathematics 2014-05, Vol.2014 (2014), p.1-9
Main Authors: Zhou, Lan, She, Jinhua, Zhou, Shaowu, Chen, Qiwei
Format: Article
Language:English
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Summary:This paper presents a method of designing a state-observer based modified repetitive-control system that provides a given H∞ level of disturbance attenuation for a class of strictly proper linear plants. Since the time delay in a repetitive controller can be treated as a kind of disturbance, we convert the system design problem into a standard state-feedback H∞ control problem for a linear time-invariant system. The Lyapunov functional and the singular-value decomposition of the output matrix are used to derive a linear-matrix-inequality (LMI) based design algorithm for the parameters of the feedback controller and the state-observer. A numerical example demonstrates the validity of the method.
ISSN:2356-7007
2314-6109
DOI:10.1155/2014/838905