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Boundary Conditions for Transient and Robust Performance of a Reduced-Order Model-Based State Feedback Controller with PI Observer

Author

Listed:
  • Nebiyeleul Daniel Amare

    (Department of Electrical Engineering, Myongji University, Yongin 17058, Korea)

  • Doe Hun Kim

    (Department of Electrical Engineering, Myongji University, Yongin 17058, Korea)

  • Sun Jick Yang

    (Department of Electrical Engineering, Myongji University, Yongin 17058, Korea)

  • Young Ik Son

    (Department of Electrical Engineering, Myongji University, Yongin 17058, Korea)

Abstract

One common technique employed in control system design to minimize system model complexity is model order reduction. However, controllers designed by using a reduced-order model have the potential to cause the closed-loop system to become unstable when applied to the original full-order system. Additionally, system performance improvement techniques such as disturbance observers produce unpredictable outcomes when augmented with reduced-order model-based controllers. In particular, the closed-loop system stability is compromised when a large value of observer gain is employed. In this paper, a boundary condition for the controller and observer design parameters in which the closed-loop system stability is maintained is proposed for a reduced-order proportional-integral observer compensated reduced-order model-based controller. The boundary condition was obtained by performing the stability analysis of the closed-loop system using the root locus method and the Routh-Hurwitz criterion. Both the observer and the state feedback controller were designed using a reduced-order system model based on the singular perturbation theory. The result of the theoretical analysis is validated through computer simulations using a DC (direct current) motor position control problem.

Suggested Citation

  • Nebiyeleul Daniel Amare & Doe Hun Kim & Sun Jick Yang & Young Ik Son, 2021. "Boundary Conditions for Transient and Robust Performance of a Reduced-Order Model-Based State Feedback Controller with PI Observer," Energies, MDPI, vol. 14(10), pages 1-18, May.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:10:p:2881-:d:555940
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    References listed on IDEAS

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    1. In Hyuk Kim & Young Ik Son, 2020. "Design of a Low-Order Harmonic Disturbance Observer with Application to a DC Motor Position Control," Energies, MDPI, vol. 13(5), pages 1-17, February.
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    Cited by:

    1. Rui Pan & Guiping Lin & Zhigao Shi & Yu Zeng & Xue Yang, 2021. "The Application of Disturbance-Observer-Based Control in Breath Pressure Control of Aviation Electronic Oxygen Regulator," Energies, MDPI, vol. 14(16), pages 1-16, August.

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