A Lyapunov equation based mapping approach to achieve controller integrity

Khaled Alaa; Ilhan Mutlu; Frank Schrodel; M. Turan Soylemez; Dirk Abel

doi:10.1109/ICUMT.2016.7765226

A Lyapunov equation based mapping approach to achieve controller integrity

Khaled Alaa, Ilhan Mutlu, Frank Schrodel, M. Turan Soylemez, Dirk Abel

Department of Control and Automation Engineering

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

Abstract

In this study, a new approach is proposed to determine controller parameter spaces that achieve integrity for multivariable systems. Integrity refers to the property that the closed-loop system remains stable against arbitrary failures of certain subsystems in order to increase the reliability of industrial systems. The proposed approach is based on the Lyapunov equation stability mapping technique. Instead of solving 2n equations to determine the boundaries of the stabilizing regions that is required in the standard Lyapunov approach, it is necessary and sufficient to solve at most two equations with respect to the controller parameters in the proposed approach. Using this approach, an algorithm is asserted to determine non-conservative controller gain regions that guarantee the stability of the multivariable systems when any one of the controller parameters fails to operate. Lastly, two benchmark case studies are included within the scope of this study to verify the effectiveness and correctness of the derived theoretical results.

Original language	English
Title of host publication	2016 8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2016
Publisher	IEEE Computer Society
Pages	16-22
Number of pages	7
ISBN (Electronic)	9781467388184
DOIs	https://doi.org/10.1109/ICUMT.2016.7765226
Publication status	Published - 2 Dec 2016
Event	8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2016 - Lisbon, Portugal Duration: 18 Oct 2016 → 20 Oct 2016

Publication series

Name	International Congress on Ultra Modern Telecommunications and Control Systems and Workshops
Volume	2016-December
ISSN (Print)	2157-0221
ISSN (Electronic)	2157-023X

Conference

Conference	8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2016
Country/Territory	Portugal
City	Lisbon
Period	18/10/16 → 20/10/16

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

Access to Document

10.1109/ICUMT.2016.7765226

Cite this

Alaa, K., Mutlu, I., Schrodel, F., Turan Soylemez, M., & Abel, D. (2016). A Lyapunov equation based mapping approach to achieve controller integrity. In 2016 8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2016 (pp. 16-22). Article 7765226 (International Congress on Ultra Modern Telecommunications and Control Systems and Workshops; Vol. 2016-December). IEEE Computer Society. https://doi.org/10.1109/ICUMT.2016.7765226

Alaa, Khaled ; Mutlu, Ilhan ; Schrodel, Frank et al. / A Lyapunov equation based mapping approach to achieve controller integrity. 2016 8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2016. IEEE Computer Society, 2016. pp. 16-22 (International Congress on Ultra Modern Telecommunications and Control Systems and Workshops).

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abstract = "In this study, a new approach is proposed to determine controller parameter spaces that achieve integrity for multivariable systems. Integrity refers to the property that the closed-loop system remains stable against arbitrary failures of certain subsystems in order to increase the reliability of industrial systems. The proposed approach is based on the Lyapunov equation stability mapping technique. Instead of solving 2n equations to determine the boundaries of the stabilizing regions that is required in the standard Lyapunov approach, it is necessary and sufficient to solve at most two equations with respect to the controller parameters in the proposed approach. Using this approach, an algorithm is asserted to determine non-conservative controller gain regions that guarantee the stability of the multivariable systems when any one of the controller parameters fails to operate. Lastly, two benchmark case studies are included within the scope of this study to verify the effectiveness and correctness of the derived theoretical results.",

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Alaa, K, Mutlu, I, Schrodel, F, Turan Soylemez, M & Abel, D 2016, A Lyapunov equation based mapping approach to achieve controller integrity. in 2016 8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2016., 7765226, International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, vol. 2016-December, IEEE Computer Society, pp. 16-22, 8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2016, Lisbon, Portugal, 18/10/16. https://doi.org/10.1109/ICUMT.2016.7765226

A Lyapunov equation based mapping approach to achieve controller integrity. / Alaa, Khaled; Mutlu, Ilhan; Schrodel, Frank et al.
2016 8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2016. IEEE Computer Society, 2016. p. 16-22 7765226 (International Congress on Ultra Modern Telecommunications and Control Systems and Workshops; Vol. 2016-December).

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

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Alaa K, Mutlu I, Schrodel F, Turan Soylemez M, Abel D. A Lyapunov equation based mapping approach to achieve controller integrity. In 2016 8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2016. IEEE Computer Society. 2016. p. 16-22. 7765226. (International Congress on Ultra Modern Telecommunications and Control Systems and Workshops). doi: 10.1109/ICUMT.2016.7765226

A Lyapunov equation based mapping approach to achieve controller integrity

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