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H<SUB align=right>∞ repetitive control of linear systems based on Two-Dimensional model

Published: 01 August 2009 Publication History

Abstract

This paper concerns with the H&lt;SUB align=right&gt;&infin; repetitive control of linear system based on Two-Dimensional (2D) system theory. First, a 2D model is established to describe the control behaviour within a repetition period and the learning process between periods. Next, the problem of designing an H&lt;SUB align=right&gt;&infin; repetitive control law is formulated as an H&lt;SUB align=right&gt;&infin; state-feedback design problem for the 2D model. A new existence condition and method of designing an H&lt;SUB align=right&gt;&infin; state-feedback control law for the 2D model is presented. Moreover, this idea is extended to solve the problem of H&lt;SUB align=right&gt;&infin; repetitive control law for linear system. Finally, a numerical example was presented to illustrate the effectiveness of the presented method.

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  1. H∞ repetitive control of linear systems based on Two-Dimensional model

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    Published In

    cover image International Journal of Computing Science and Mathematics
    International Journal of Computing Science and Mathematics  Volume 2, Issue 3
    August 2009
    89 pages
    ISSN:1752-5055
    EISSN:1752-5063
    Issue’s Table of Contents

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    Inderscience Publishers

    Geneva 15, Switzerland

    Publication History

    Published: 01 August 2009

    Author Tags

    1. 2D system
    2. H-infinity repetitive control
    3. LMI
    4. linear matrix inequality
    5. linear systems
    6. stability
    7. state feedback control

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