Solving polynomial static output feedback problems with PENBMI

Beitrag in einem Sammelwerk
(Originalarbeit)


Details zur Publikation

Autorinnen und Autoren: Henrion D, Löfberg J, Kocvara M, Stingl M
Titel Sammelwerk: Proceedings of the 44th IEEE Conference on Decision and Control
Jahr der Veröffentlichung: 2005
Seitenbereich: 7581 - 7586
ISSN: 0191-2216


Abstract


An algebraic formulation is proposed for the static output feedback (SOF) problem: the Hermite stability criterion is applied on the closed-loop characteristic polynomial, resulting in a non-convex bilinear matrix inequality (BMI) optimization problem for SIMO or MISO systems. As a result, the BMI problem is formulated directly in the controller parameters, without additional Lyapunov variables. The publicly available solver PENBMI 2.0 interfaced with YALMIP 3.0 is then applied to solve benchmark examples. Implementation and numerical aspects are widely discussed.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Stingl, Michael Prof. Dr.
Professur für Angewandte Mathematik (Kontinuierliche Optimierung)


Einrichtungen weiterer Autorinnen und Autoren

Institut Carnot CIRIMAT - Interuniversity Center for Materials Research and Engineering
Linköping University


Zitierweisen

APA:
Henrion, D., Löfberg, J., Kocvara, M., & Stingl, M. (2005). Solving polynomial static output feedback problems with PENBMI. In Proceedings of the 44th IEEE Conference on Decision and Control. (pp. 7581 - 7586).

MLA:
Henrion, Didier, et al. "Solving polynomial static output feedback problems with PENBMI." Proceedings of the 44th IEEE Conference on Decision and Control. 2005. 7581 - 7586.

BibTeX: 

Zuletzt aktualisiert 2019-21-07 um 07:25