A systematic approach for robust repetitive controller design. (September 2016)

• Record Type: Journal Article
• Authors: Flores, Jeferson V.; Pereira, Luis Fernando A.; Bonan, Guilherme; Coutinho, Daniel F.; Gomes da Silva, João Manoel
• Is Part Of: Control engineering practice. Volume 54(2016)
• Page Start: 214
• Page End: 222
• Publication Date: 2016-09
• Subjects: Repetitive control -- Robust control -- Linear matrix inequalities -- Uninterruptible power supplies -- PWM inverter; Automatic control -- Periodicals; 629.89
• DOI: 10.1016/j.conengprac.2016.06.003
• Languages: English
• ISSNs: 0967-0661

Abstract

Abstract: 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. Abstract : Highlights: 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 4.3 kVA PWM single phase DC–AC inverter. Results analyzed under performance criteria defined by the IEC 62040-3 standard.