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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Rajko Svečko & Dušan Gleich & Amor Chowdhury & Andrej Sarjaš, 2019. "Sub-Optimal Second-Order Sliding Mode Controller Parameters’ Selection for a Positioning System with a Synchronous Reluctance Motor," Energies, MDPI, vol. 12(10), pages 1-22, May.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:10:p:1855-:d:231467
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    References listed on IDEAS

    as
    1. Onofre A. Morfin & Carlos E. Castañeda & Antonio Valderrabano-Gonzalez & Miguel Hernandez-Gonzalez & Fredy A. Valenzuela, 2017. "A Real-Time SOSM Super-Twisting Technique for a Compound DC Motor Velocity Controller," Energies, MDPI, vol. 10(9), pages 1-18, August.
    2. Yassine Kali & Magno Ayala & Jorge Rodas & Maarouf Saad & Jesus Doval-Gandoy & Raul Gregor & Khalid Benjelloun, 2019. "Current Control of a Six-Phase Induction Machine Drive Based on Discrete-Time Sliding Mode with Time Delay Estimation," Energies, MDPI, vol. 12(1), pages 1-17, January.
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    Cited by:

    1. Aleš Hace, 2019. "The Advanced Control Approach based on SMC Design for the High-Fidelity Haptic Power Lever of a Small Hybrid Electric Aircraft," Energies, MDPI, vol. 12(15), pages 1-31, August.

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