Zero-Phase FIR Filter Design Algorithm for Repetitive Controllers

Pedro V. S. G. de Lima, Rafael C. Neto (), Francisco A. S. Neves, Fabrício Bradaschia, Helber E. P. de Souza and Eduardo J. Barbosa
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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

Energies, 2023, vol. 16, issue 5, 1-33

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.

Keywords: active filter; FIR filter; repetitive controllers; stability (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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