Global optimization of H∞ Problems: Application to robust control synthesis under structural constraints

Dominique Monnet; Jordan Ninin; Benoit Clement

doi:10.1007/978-3-319-32859-1_46

Global optimization of H_∞ Problems: Application to robust control synthesis under structural constraints

Dominique Monnet, Jordan Ninin, Benoit Clement

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

3 Citations (Scopus)

Abstract

In this paper, a new technique to compute a synthesis structured Robust Control Law is developed. This technique is based on global optimization methods using a Branch-and-Bound algorithm. The original problem is reformulated as a min/max problem with non-convex constraint. Our approach uses interval arithmetic to compute bounds and accelerate the convergence.

Original language	English
Title of host publication	Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers
Editors	Ilias S. Kotsireas, Siegfried M. Rump, Chee K. Yap
Place of Publication	Switzerland
Publisher	Springer-Verlag
Pages	550-554
Number of pages	5
ISBN (Electronic)	9783319328591
ISBN (Print)	9783319328584
DOIs	https://doi.org/10.1007/978-3-319-32859-1_46
Publication status	Published - 2016
Externally published	Yes
Event	6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015 - Berlin, Germany Duration: 11 Nov 2015 → 13 Nov 2015

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	9582
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015
Country/Territory	Germany
City	Berlin
Period	11/11/15 → 13/11/15

Keywords

Robust Control
Global optimization
Branch and bound
non-convex constraint
convergence

Access to Document

10.1007/978-3-319-32859-1_46Licence: In Copyright

Cite this

Monnet, D., Ninin, J., & Clement, B. (2016). Global optimization of H_∞ Problems: Application to robust control synthesis under structural constraints. In I. S. Kotsireas, S. M. Rump, & C. K. Yap (Eds.), Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers (pp. 550-554). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9582). Springer-Verlag. https://doi.org/10.1007/978-3-319-32859-1_46

Monnet, Dominique ; Ninin, Jordan ; Clement, Benoit. / Global optimization of H_∞ Problems : Application to robust control synthesis under structural constraints. Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers. editor / Ilias S. Kotsireas ; Siegfried M. Rump ; Chee K. Yap. Switzerland : Springer-Verlag, 2016. pp. 550-554 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Monnet, D, Ninin, J & Clement, B 2016, Global optimization of H_∞ Problems: Application to robust control synthesis under structural constraints. in IS Kotsireas, SM Rump & CK Yap (eds), Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9582, Springer-Verlag, Switzerland, pp. 550-554, 6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015, Berlin, Germany, 11/11/15. https://doi.org/10.1007/978-3-319-32859-1_46

Global optimization of H_∞ Problems : Application to robust control synthesis under structural constraints. / Monnet, Dominique; Ninin, Jordan; Clement, Benoit.

Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers. ed. / Ilias S. Kotsireas; Siegfried M. Rump; Chee K. Yap. Switzerland : Springer-Verlag, 2016. p. 550-554 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9582).

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

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AB - In this paper, a new technique to compute a synthesis structured Robust Control Law is developed. This technique is based on global optimization methods using a Branch-and-Bound algorithm. The original problem is reformulated as a min/max problem with non-convex constraint. Our approach uses interval arithmetic to compute bounds and accelerate the convergence.

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KW - Global optimization

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Monnet D, Ninin J, Clement B. Global optimization of H_∞ Problems: Application to robust control synthesis under structural constraints. In Kotsireas IS, Rump SM, Yap CK, editors, Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers. Switzerland: Springer-Verlag. 2016. p. 550-554. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-32859-1_46