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Sub-Optimal Second-Order Sliding Mode Controller Parameters’ Selection for a Positioning System with a Synchronous Reluctance Motor

1
University of Maribor, Faculty of Electrical Engineering and Computer Science, Koroška cesta 45, 2000 Maribor, Slovenia
2
Margento R&D, Gosposvetska cesta 84, 2000 Maribor, Slovenia
*
Authors to whom correspondence should be addressed.
Energies 2019, 12(10), 1855; https://doi.org/10.3390/en12101855
Received: 12 April 2019 / Revised: 13 May 2019 / Accepted: 13 May 2019 / Published: 15 May 2019
(This article belongs to the Section Electrical Power and Energy System)
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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. View Full-Text
Keywords: sliding mode controller; describing function; harmonic balance; positioning system; synchronous reluctance motor sliding mode controller; describing function; harmonic balance; positioning system; synchronous reluctance motor
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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. Energies 2019, 12, 1855.

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