Dynamic-output stabilization and tracking of uncertain linear systems with mixed H2/H∞ performance

Salim Ibrir; Adeel Sabir

doi:10.1109/ICIEA.2016.7603942

Dynamic-output stabilization and tracking of uncertain linear systems with mixed H₂/H_∞ performance

Salim Ibrir
, Adeel Sabir

King Fahd University of Petroleum & Minerals

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

1 Scopus citations

Abstract

In this article, we propose sufficient conditions for robust observer-based control of uncertain linear systems with polytopic uncertainties and unknown disturbances. The observer and the controller gains are obtained from the solution of a convex-optimization problem. Mixed performance constraints are imposed on the design in order to minimize the effects of the unknown disturbances on the overall closed-loop system. Subsequently, the proposed control design is generalized to trajectory tracking of uncertain systems. The effectiveness of the proposed results is demonstrated through robust position and speed control of a DC motor with uncertain parameters and unknown load torque disturbance.

Original language	English
Title of host publication	Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2135-2140
Number of pages	6
ISBN (Electronic)	9781509026050
DOIs	https://doi.org/10.1109/ICIEA.2016.7603942
State	Published - 19 Oct 2016

Publication series

Name	Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

Keywords

DC motors
Linear Matrix Inequalities (LMIs)
Observer-based control
Polytopic uncertainties
Robust Control
Tracking

ASJC Scopus subject areas

Electrical and Electronic Engineering
Industrial and Manufacturing Engineering
Control and Optimization

Access to Document

10.1109/ICIEA.2016.7603942

Cite this

Ibrir, S., & Sabir, A. (2016). Dynamic-output stabilization and tracking of uncertain linear systems with mixed H₂/H_∞ performance. In Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016 (pp. 2135-2140). Article 7603942 (Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICIEA.2016.7603942

Ibrir, Salim ; Sabir, Adeel. / Dynamic-output stabilization and tracking of uncertain linear systems with mixed H₂/H_∞ performance. Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 2135-2140 (Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016).

@inproceedings{bfa59e5ca409428b9eaf0082e45a8ba5,

title = "Dynamic-output stabilization and tracking of uncertain linear systems with mixed H2/H∞ performance",

abstract = "In this article, we propose sufficient conditions for robust observer-based control of uncertain linear systems with polytopic uncertainties and unknown disturbances. The observer and the controller gains are obtained from the solution of a convex-optimization problem. Mixed performance constraints are imposed on the design in order to minimize the effects of the unknown disturbances on the overall closed-loop system. Subsequently, the proposed control design is generalized to trajectory tracking of uncertain systems. The effectiveness of the proposed results is demonstrated through robust position and speed control of a DC motor with uncertain parameters and unknown load torque disturbance.",

keywords = "DC motors, Linear Matrix Inequalities (LMIs), Observer-based control, Polytopic uncertainties, Robust Control, Tracking",

author = "Salim Ibrir and Adeel Sabir",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.",

year = "2016",

month = oct,

day = "19",

doi = "10.1109/ICIEA.2016.7603942",

language = "English",

series = "Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2135--2140",

booktitle = "Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016",

address = "United States",

}

Ibrir, S & Sabir, A 2016, Dynamic-output stabilization and tracking of uncertain linear systems with mixed H₂/H_∞ performance. in Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016., 7603942, Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016, Institute of Electrical and Electronics Engineers Inc., pp. 2135-2140. https://doi.org/10.1109/ICIEA.2016.7603942

Dynamic-output stabilization and tracking of uncertain linear systems with mixed H₂/H_∞ performance. / Ibrir, Salim; Sabir, Adeel.
Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 2135-2140 7603942 (Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016).

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

TY - GEN

T1 - Dynamic-output stabilization and tracking of uncertain linear systems with mixed H2/H∞ performance

AU - Ibrir, Salim

AU - Sabir, Adeel

PY - 2016/10/19

Y1 - 2016/10/19

N2 - In this article, we propose sufficient conditions for robust observer-based control of uncertain linear systems with polytopic uncertainties and unknown disturbances. The observer and the controller gains are obtained from the solution of a convex-optimization problem. Mixed performance constraints are imposed on the design in order to minimize the effects of the unknown disturbances on the overall closed-loop system. Subsequently, the proposed control design is generalized to trajectory tracking of uncertain systems. The effectiveness of the proposed results is demonstrated through robust position and speed control of a DC motor with uncertain parameters and unknown load torque disturbance.

AB - In this article, we propose sufficient conditions for robust observer-based control of uncertain linear systems with polytopic uncertainties and unknown disturbances. The observer and the controller gains are obtained from the solution of a convex-optimization problem. Mixed performance constraints are imposed on the design in order to minimize the effects of the unknown disturbances on the overall closed-loop system. Subsequently, the proposed control design is generalized to trajectory tracking of uncertain systems. The effectiveness of the proposed results is demonstrated through robust position and speed control of a DC motor with uncertain parameters and unknown load torque disturbance.

KW - DC motors

KW - Linear Matrix Inequalities (LMIs)

KW - Observer-based control

KW - Polytopic uncertainties

KW - Robust Control

KW - Tracking

UR - https://www.scopus.com/pages/publications/84997142608

U2 - 10.1109/ICIEA.2016.7603942

DO - 10.1109/ICIEA.2016.7603942

M3 - Conference contribution

AN - SCOPUS:84997142608

T3 - Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016

SP - 2135

EP - 2140

BT - Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Ibrir S, Sabir A. Dynamic-output stabilization and tracking of uncertain linear systems with mixed H₂/H_∞ performance. In Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 2135-2140. 7603942. (Proceedings of the 2016 IEEE 11th Conference on Industrial Electronics and Applications, ICIEA 2016). doi: 10.1109/ICIEA.2016.7603942