Robust observer-based stabilization and tracking of uncertain linear systems with L2-gain performance: Application to DC motors

Salim Ibrir; Adeel Sabir

doi:10.1109/ENERGYCON.2016.7513876

Robust observer-based stabilization and tracking of uncertain linear systems with L₂-gain performance: Application to DC motors

Salim Ibrir, Adeel Sabir

King Fahd University of Petroleum & Minerals

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

New linear-matrix-inequality-based results on observer-based controller design for stabilization and trajectory tracking of uncertain linear systems subject to polytopic uncertainties and exogenous disturbances are presented. The observer dynamics along with the stabilizing feedback are designed using convex optimization technique with a prescribed L₂-gain performance. The solution of the original non-convex optimization problem is transformed into the solutions of a set of linear matrix inequalities (LMIs) without introducing equality constraints or iterative search. The effectiveness of the proposed results is demonstrated by position control of a DC motor under parametric uncertainties and load torque disturbance.

Original language	English
Title of host publication	2016 IEEE International Energy Conference, ENERGYCON 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781467384636
DOIs	https://doi.org/10.1109/ENERGYCON.2016.7513876
State	Published - 14 Jul 2016

Publication series

Name	2016 IEEE International Energy Conference, ENERGYCON 2016

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

Keywords

Convex optimization
DC motors
Observers
Tracking

ASJC Scopus subject areas

Computer Networks and Communications
Energy Engineering and Power Technology
Electrical and Electronic Engineering

Access to Document

10.1109/ENERGYCON.2016.7513876

Cite this

Ibrir, S., & Sabir, A. (2016). Robust observer-based stabilization and tracking of uncertain linear systems with L₂-gain performance: Application to DC motors. In 2016 IEEE International Energy Conference, ENERGYCON 2016 Article 7513876 (2016 IEEE International Energy Conference, ENERGYCON 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ENERGYCON.2016.7513876

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abstract = "New linear-matrix-inequality-based results on observer-based controller design for stabilization and trajectory tracking of uncertain linear systems subject to polytopic uncertainties and exogenous disturbances are presented. The observer dynamics along with the stabilizing feedback are designed using convex optimization technique with a prescribed L2-gain performance. The solution of the original non-convex optimization problem is transformed into the solutions of a set of linear matrix inequalities (LMIs) without introducing equality constraints or iterative search. The effectiveness of the proposed results is demonstrated by position control of a DC motor under parametric uncertainties and load torque disturbance.",

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Ibrir, S & Sabir, A 2016, Robust observer-based stabilization and tracking of uncertain linear systems with L₂-gain performance: Application to DC motors. in 2016 IEEE International Energy Conference, ENERGYCON 2016., 7513876, 2016 IEEE International Energy Conference, ENERGYCON 2016, Institute of Electrical and Electronics Engineers Inc. https://doi.org/10.1109/ENERGYCON.2016.7513876

Robust observer-based stabilization and tracking of uncertain linear systems with L₂-gain performance: Application to DC motors. / Ibrir, Salim; Sabir, Adeel.
2016 IEEE International Energy Conference, ENERGYCON 2016. Institute of Electrical and Electronics Engineers Inc., 2016. 7513876 (2016 IEEE International Energy Conference, ENERGYCON 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - New linear-matrix-inequality-based results on observer-based controller design for stabilization and trajectory tracking of uncertain linear systems subject to polytopic uncertainties and exogenous disturbances are presented. The observer dynamics along with the stabilizing feedback are designed using convex optimization technique with a prescribed L2-gain performance. The solution of the original non-convex optimization problem is transformed into the solutions of a set of linear matrix inequalities (LMIs) without introducing equality constraints or iterative search. The effectiveness of the proposed results is demonstrated by position control of a DC motor under parametric uncertainties and load torque disturbance.

AB - New linear-matrix-inequality-based results on observer-based controller design for stabilization and trajectory tracking of uncertain linear systems subject to polytopic uncertainties and exogenous disturbances are presented. The observer dynamics along with the stabilizing feedback are designed using convex optimization technique with a prescribed L2-gain performance. The solution of the original non-convex optimization problem is transformed into the solutions of a set of linear matrix inequalities (LMIs) without introducing equality constraints or iterative search. The effectiveness of the proposed results is demonstrated by position control of a DC motor under parametric uncertainties and load torque disturbance.

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Ibrir S, Sabir A. Robust observer-based stabilization and tracking of uncertain linear systems with L₂-gain performance: Application to DC motors. In 2016 IEEE International Energy Conference, ENERGYCON 2016. Institute of Electrical and Electronics Engineers Inc. 2016. 7513876. (2016 IEEE International Energy Conference, ENERGYCON 2016). doi: 10.1109/ENERGYCON.2016.7513876