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Article

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

Department of Electrical Engineering, Myongji University, Yongin 17058, Korea
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Author to whom correspondence should be addressed.
Academic Editor: Luigi Fortuna
Energies 2021, 14(10), 2881; https://doi.org/10.3390/en14102881
Received: 3 April 2021 / Revised: 6 May 2021 / Accepted: 7 May 2021 / Published: 17 May 2021
(This article belongs to the Section F: Electrical Engineering)
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. View Full-Text
Keywords: proportional-integral observer; reduced-order model-based controller; stability analysis; Routh-Hurwitz criterion; dc motor; robust control proportional-integral observer; reduced-order model-based controller; stability analysis; Routh-Hurwitz criterion; dc motor; robust control
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MDPI and ACS Style

Amare, N.D.; Kim, D.H.; Yang, S.J.; Son, Y.I. Boundary Conditions for Transient and Robust Performance of a Reduced-Order Model-Based State Feedback Controller with PI Observer. Energies 2021, 14, 2881. https://doi.org/10.3390/en14102881

AMA Style

Amare ND, Kim DH, Yang SJ, Son YI. Boundary Conditions for Transient and Robust Performance of a Reduced-Order Model-Based State Feedback Controller with PI Observer. Energies. 2021; 14(10):2881. https://doi.org/10.3390/en14102881

Chicago/Turabian Style

Amare, Nebiyeleul Daniel, Doe Hun Kim, Sun Jick Yang, and Young Ik Son. 2021. "Boundary Conditions for Transient and Robust Performance of a Reduced-Order Model-Based State Feedback Controller with PI Observer" Energies 14, no. 10: 2881. https://doi.org/10.3390/en14102881

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