LAPSE:2023.3994
Published Article

LAPSE:2023.3994
Sub-Optimal Second-Order Sliding Mode Controller Parameters’ Selection for a Positioning System with a Synchronous Reluctance Motor
February 22, 2023
Abstract
This paper discusses nonlinear controller structure design for a synchronous reluctance motor (SynRM). The SynRM is represented with a nonlinear dynamic model. All presented nonlinearities of the SynRM are respected in the controller design procedure. A nonlinear controller policy is used for a SynRM positing system. The nonlinear controller design is based on the chattering alleviation technique for the super-twisted algorithm (STA). The alleviation technique assumes the presence of a fast parasitic dynamic, or fast, actuator. Based on the motor structure, the STA controller is designed only for the mechanical subsystem, where the electrical part presents the parasitic dynamic, and is taken in to account in the chattering suppression procedure. Chattering rejection is based on the STA describing function and harmonic balance equation. The approach allows determination of fast oscillation parameters, such as amplitude and frequency of oscillation. The conditions for the controller parameters’ selection are derived with regard to the given oscillation parameters. The derived conditions cover the stability analysis for the STA controller, as well as the stability condition for current controllers and chattering amplitude minimization. The result is confirmed with an example.
This paper discusses nonlinear controller structure design for a synchronous reluctance motor (SynRM). The SynRM is represented with a nonlinear dynamic model. All presented nonlinearities of the SynRM are respected in the controller design procedure. A nonlinear controller policy is used for a SynRM positing system. The nonlinear controller design is based on the chattering alleviation technique for the super-twisted algorithm (STA). The alleviation technique assumes the presence of a fast parasitic dynamic, or fast, actuator. Based on the motor structure, the STA controller is designed only for the mechanical subsystem, where the electrical part presents the parasitic dynamic, and is taken in to account in the chattering suppression procedure. Chattering rejection is based on the STA describing function and harmonic balance equation. The approach allows determination of fast oscillation parameters, such as amplitude and frequency of oscillation. The conditions for the controller parameters’ selection are derived with regard to the given oscillation parameters. The derived conditions cover the stability analysis for the STA controller, as well as the stability condition for current controllers and chattering amplitude minimization. The result is confirmed with an example.
Record ID
Keywords
describing function, harmonic balance, positioning system, sliding mode controller, synchronous reluctance motor
Subject
Suggested Citation
Svečko R, Gleich D, Chowdhury A, Sarjaš A. Sub-Optimal Second-Order Sliding Mode Controller Parameters’ Selection for a Positioning System with a Synchronous Reluctance Motor. (2023). LAPSE:2023.3994
Author Affiliations
Svečko R: University of Maribor, Faculty of Electrical Engineering and Computer Science, Koroška cesta 45, 2000 Maribor, Slovenia [ORCID]
Gleich D: University of Maribor, Faculty of Electrical Engineering and Computer Science, Koroška cesta 45, 2000 Maribor, Slovenia
Chowdhury A: Margento R&D, Gosposvetska cesta 84, 2000 Maribor, Slovenia
Sarjaš A: University of Maribor, Faculty of Electrical Engineering and Computer Science, Koroška cesta 45, 2000 Maribor, Slovenia
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Gleich D: University of Maribor, Faculty of Electrical Engineering and Computer Science, Koroška cesta 45, 2000 Maribor, Slovenia
Chowdhury A: Margento R&D, Gosposvetska cesta 84, 2000 Maribor, Slovenia
Sarjaš A: University of Maribor, Faculty of Electrical Engineering and Computer Science, Koroška cesta 45, 2000 Maribor, Slovenia
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Journal Name
Energies
Volume
12
Issue
10
Article Number
E1855
Year
2019
Publication Date
2019-05-15
ISSN
1996-1073
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Original Submission
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PII: en12101855, Publication Type: Journal Article
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LAPSE:2023.3994
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https://doi.org/10.3390/en12101855
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Feb 22, 2023
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