A systematic approach for robust repetitive controller design

In this paper, a methodology for the synthesis of repetitive controllers to ensure periodic reference tracking and harmonic disturbance rejection is cast in a robust control framework. Specifically, the Lyapunov–Krasovskii theory is applied to derive LMI-based conditions for designing a state feedba...

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Bibliographic Details
Published inControl engineering practice Vol. 54; pp. 214 - 222
Main Authors Flores, Jeferson V., Pereira, Luis Fernando A., Bonan, Guilherme, Coutinho, Daniel F., Gomes da Silva, João Manoel
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.09.2016
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Summary:In this paper, a methodology for the synthesis of repetitive controllers to ensure periodic reference tracking and harmonic disturbance rejection is cast in a robust control framework. Specifically, the Lyapunov–Krasovskii theory is applied to derive LMI-based conditions for designing a state feedback control law with guaranteed stability and performance properties for system parameter variations. Practical experiments in commercial uninterruptible power supplies – UPS are considered to illustrate and discuss some practical implementation aspects of the proposed method. •A detailed analysis to illustrate the impact of the repetitive structure.•Systematic design procedure by solving a convex optimization problem.•Focus on the application aspects of the proposed method.•Experimental results in a commercial 4.3kVA PWM single phase DC–AC inverter.•Results analyzed under performance criteria defined by the IEC 62040-3 standard.
ISSN:0967-0661
1873-6939
DOI:10.1016/j.conengprac.2016.06.003