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

Nebiyeleul Daniel Amare, Doe Hun Kim, Sun Jick Yang and Young Ik Son
Additional contact information
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

Energies, 2021, vol. 14, issue 10, 1-18

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.

Keywords: proportional-integral observer; reduced-order model-based controller; stability analysis; Routh-Hurwitz criterion; dc motor; robust control (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: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/1996-1073/14/10/2881/pdf (application/pdf)
https://www.mdpi.com/1996-1073/14/10/2881/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:14:y:2021:i:10:p:2881-:d:555940

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().