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Zero-Phase FIR Filter Design Algorithm for Repetitive Controllers

Author

Listed:
  • Pedro V. S. G. de Lima

    (Department of Biomedical Engineering, Center of Technology and Geosciences, Federal University of Pernambuco, Recife 50740-530, PE, Brazil)

  • Rafael C. Neto

    (Power Electronics and Drives Research Group (GEPAE), Department of Electrical Engineering, Center of Technology and Geosciences, Federal University of Pernambuco, Recife 50740-530, PE, Brazil)

  • Francisco A. S. Neves

    (Power Electronics and Drives Research Group (GEPAE), Department of Electrical Engineering, Center of Technology and Geosciences, Federal University of Pernambuco, Recife 50740-530, PE, Brazil)

  • Fabrício Bradaschia

    (Power Electronics and Drives Research Group (GEPAE), Department of Electrical Engineering, Center of Technology and Geosciences, Federal University of Pernambuco, Recife 50740-530, PE, Brazil)

  • Helber E. P. de Souza

    (Department of Industry, Instituto Federal de Educação, Ciência e Tecnologia de Pernambuco, Pesqueira 55200-000, PE, Brazil)

  • Eduardo J. Barbosa

    (Power Electronics and Drives Research Group (GEPAE), Department of Electrical Engineering, Center of Technology and Geosciences, Federal University of Pernambuco, Recife 50740-530, PE, Brazil)

Abstract

Repetitive controllers (RCs) are linear control structures based on the internal model principle. This control strategy is known for its ability to control periodic reference signals, even if these signals have many harmonic components. Despite being a solution that results in a good performance, several parameters of the repetitive controller need to be correctly tuned to guarantee its stability. Among these parameters, one that has high impact on the system performance and stability is the finite impulse response (FIR) filter, which is usually used to increase the stability domain of RC-based controllers. In this context, this paper presents a complete tutorial for designing the zero-phase FIR filter, which is often used to stabilize control systems that use RC-based controllers. In addition, this paper presents a Matlab ® application developed for performing the stability analysis of RC systems and designing its FIR filter. Simulation and experimental results of a shunt active power filter are used to validate the algorithm and the Matlab ® application.

Suggested Citation

  • Pedro V. S. G. de Lima & Rafael C. Neto & Francisco A. S. Neves & Fabrício Bradaschia & Helber E. P. de Souza & Eduardo J. Barbosa, 2023. "Zero-Phase FIR Filter Design Algorithm for Repetitive Controllers," Energies, MDPI, vol. 16(5), pages 1-33, March.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:5:p:2451-:d:1087685
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    References listed on IDEAS

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    1. Mohammad Fateh & Hojjat Tehrani & Seyed Karbassi, 2013. "Repetitive control of electrically driven robot manipulators," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 775-785.
    2. Zhaoxu Luo & Mei Su & Jian Yang & Yao Sun & Xiaochao Hou & Josep M. Guerrero, 2016. "A Repetitive Control Scheme Aimed at Compensating the 6 k + 1 Harmonics for a Three-Phase Hybrid Active Filter," Energies, MDPI, vol. 9(10), pages 1-17, September.
    3. Dong Liu & Baojin Li & Songtao Huang & Linguo Liu & Haozhe Wang & Yukai Huang, 2022. "An Improved Frequency-Adaptive Virtual Variable Sampling-Based Repetitive Control for an Active Power Filter," Energies, MDPI, vol. 15(19), pages 1-20, October.
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    Cited by:

    1. Raymundo Cordero & Juliana Gonzales & Thyago Estrabis & Luigi Galotto & Rebeca Padilla & João Onofre, 2024. "Variable Frequency Resonant Controller Based on Generalized Predictive Control for Biased-Sinusoidal Reference Tracking and Multi-Layer Perceptron," Energies, MDPI, vol. 17(12), pages 1-16, June.

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