Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(10): 3151-3165

https://doi.org/10.1007/s12555-022-0640-4

© The International Journal of Control, Automation, and Systems

A Modified Robust Adaptive Super-twisting Sliding Mode Controller for Grid-connected Converters

Guilherme Vieira Hollweg*, Paulo Jefferson Dias de Oliveira Evald, Rodrigo Varella Tambara, Wencong Su, and Hilton Abílio Gründling

University of Michigan-Dearborn

Abstract

This work introduces the application of a new adaptive control structure, which is a modification of the robust model reference adaptive controller (RMRAC) and adaptive super-twisting sliding mode (ASTSM). This controller was previously proposed in the literature and applied to the current control of a grid-connected converter under uncertain grid environments. However, its STSM structure used the tracking error signal function as a sliding surface, which tends to impose considerable chattering in the system. The proposed controller maintains the characteristics of the known structure but replaces the signal function in the STSM equations with a sigmoid function, reducing the current tracking error and improving the system regulation since it is smoother. As the control structure lies in RMRAC theory and some core equations change, stability analysis of the adaptation algorithm is also carried out. Experimental results in a 7.5 kW converter are presented in which the known RMRAC-ASTSM controller presents 2.45% total harmonic distortion while the modified adaptive structure obtains 2.22% total harmonic distortion and better regulation performance.

Keywords Adaptive control, chattering mitigation, grid-tied three-phase converters, robust control, robust model reference adaptive control, super-twisting sliding mode.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(10): 3151-3165

Published online October 1, 2023 https://doi.org/10.1007/s12555-022-0640-4

Copyright © The International Journal of Control, Automation, and Systems.

A Modified Robust Adaptive Super-twisting Sliding Mode Controller for Grid-connected Converters

Guilherme Vieira Hollweg*, Paulo Jefferson Dias de Oliveira Evald, Rodrigo Varella Tambara, Wencong Su, and Hilton Abílio Gründling

University of Michigan-Dearborn

Abstract

This work introduces the application of a new adaptive control structure, which is a modification of the robust model reference adaptive controller (RMRAC) and adaptive super-twisting sliding mode (ASTSM). This controller was previously proposed in the literature and applied to the current control of a grid-connected converter under uncertain grid environments. However, its STSM structure used the tracking error signal function as a sliding surface, which tends to impose considerable chattering in the system. The proposed controller maintains the characteristics of the known structure but replaces the signal function in the STSM equations with a sigmoid function, reducing the current tracking error and improving the system regulation since it is smoother. As the control structure lies in RMRAC theory and some core equations change, stability analysis of the adaptation algorithm is also carried out. Experimental results in a 7.5 kW converter are presented in which the known RMRAC-ASTSM controller presents 2.45% total harmonic distortion while the modified adaptive structure obtains 2.22% total harmonic distortion and better regulation performance.

Keywords: Adaptive control, chattering mitigation, grid-tied three-phase converters, robust control, robust model reference adaptive control, super-twisting sliding mode.

IJCAS
December 2024

Vol. 22, No. 12, pp. 3545~3811

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