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

Rajko Svečko, Dušan Gleich, Amor Chowdhury and Andrej Sarjaš
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Rajko Svečko: University of Maribor, Faculty of Electrical Engineering and Computer Science, Koroška cesta 45, 2000 Maribor, Slovenia
Dušan Gleich: University of Maribor, Faculty of Electrical Engineering and Computer Science, Koroška cesta 45, 2000 Maribor, Slovenia
Amor Chowdhury: Margento R&D, Gosposvetska cesta 84, 2000 Maribor, Slovenia
Andrej Sarjaš: University of Maribor, Faculty of Electrical Engineering and Computer Science, Koroška cesta 45, 2000 Maribor, Slovenia

Energies, 2019, vol. 12, issue 10, 1-22

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.

Keywords: sliding mode controller; describing function; harmonic balance; positioning system; synchronous reluctance motor (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: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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