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Harvey David Rojas1,2,Nelson Leonardo Díaz1,Herbert Enrique Rojas1,John Cortés-Romero3.[en_title][J].Control Theory and Technology,2025,23(3):543~562.[Copy]
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Active disturbance rejection control with cascade generalized proportional integral observer: application to the current control of grid-connected converters
HarveyDavidRojas1,2,NelsonLeonardoDíaz1,HerbertEnriqueRojas1,JohnCortés-Romero3
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(1 GISE3 Research Group, Department of Electrical Engineering, Universidad Distrital Francisco José de Caldas, Cra. 8 # 40-62, Floor 8th - GISE3 Lab, Bogotá 110231, Colombia 2 Department of Electronic and Mechatronic Engineering, Universidad Manuela Beltrán, Av. Circunvalar # 60-00, Bogotá 110231, Colombia;3 Department of Electrical and Electronic Engineering, Universidad Nacional de Colombia, Av. Cra. 30 # 45-03, Bogotá 111321, Colombia)
摘要:
This paper presents a novel active disturbance rejection control (ADRC) scheme based on a cascade connection of generalized proportional integral observers (GPIOs) with internal models designed to estimate both polynomial and resonant disturbances. In this estimator structure, referred to as Cascade GPIO (CGPIO), the total disturbance sensitivity is the product of the sensitivities at each cascade level. This approach improves system performance against both periodic and non-periodic disturbances and enhances robustness under frequency variations in harmonic components. Additionally, the decoupled nature of the estimator reduces the order of the GPIOs, thereby simplifying tuning and limiting observer gains. The proposed control scheme is supported by a frequency-domain analysis and is experimentally validated in the current control of a grid connected converter subject to control gain uncertainties, harmonic distortion, frequency deviations, and measurement noise. Experimental results demonstrate that the CGPIO-based ADRC outperforms benchmark solutions, including proportionalintegral (PI) and proportional-resonant (PR) controllers.
关键词:  Active disturbance rejection control (ADRC) · Cascade observer · Generalized proportional integral observer (GPIO) · Periodic and non-periodic disturbances · Grid-connected converter (GcC)
DOI:https://doi.org/10.1007/s11768-025-00285-3
基金项目:
Active disturbance rejection control with cascade generalized proportional integral observer: application to the current control of grid-connected converters
Harvey David Rojas1,2,Nelson Leonardo Díaz1,Herbert Enrique Rojas1,John Cortés-Romero3
(1 GISE3 Research Group, Department of Electrical Engineering, Universidad Distrital Francisco José de Caldas, Cra. 8 # 40-62, Floor 8th - GISE3 Lab, Bogotá 110231, Colombia 2 Department of Electronic and Mechatronic Engineering, Universidad Manuela Beltrán, Av. Circunvalar # 60-00, Bogotá 110231, Colombia;3 Department of Electrical and Electronic Engineering, Universidad Nacional de Colombia, Av. Cra. 30 # 45-03, Bogotá 111321, Colombia)
Abstract:
This paper presents a novel active disturbance rejection control (ADRC) scheme based on a cascade connection of generalized proportional integral observers (GPIOs) with internal models designed to estimate both polynomial and resonant disturbances. In this estimator structure, referred to as Cascade GPIO (CGPIO), the total disturbance sensitivity is the product of the sensitivities at each cascade level. This approach improves system performance against both periodic and non-periodic disturbances and enhances robustness under frequency variations in harmonic components. Additionally, the decoupled nature of the estimator reduces the order of the GPIOs, thereby simplifying tuning and limiting observer gains. The proposed control scheme is supported by a frequency-domain analysis and is experimentally validated in the current control of a grid connected converter subject to control gain uncertainties, harmonic distortion, frequency deviations, and measurement noise. Experimental results demonstrate that the CGPIO-based ADRC outperforms benchmark solutions, including proportionalintegral (PI) and proportional-resonant (PR) controllers.
Key words:  Active disturbance rejection control (ADRC) · Cascade observer · Generalized proportional integral observer (GPIO) · Periodic and non-periodic disturbances · Grid-connected converter (GcC)