Solving polynomial static output feedback problems with PENBMI

Henrion D, Löfberg J, Kocvara M, Stingl M (2005)

Publication Type: Book chapter / Article in edited volumes

Publication year: 2005

Edited Volumes: Proceedings of the 44th IEEE Conference on Decision and Control

Pages Range: 7581 - 7586

DOI: 10.1109/CDC.2005.1583385

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.

Authors with CRIS profile

Michael Stingl Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung)

Involved external institutions

Institut Carnot CIRIMAT - Interuniversity Center for Materials Research and Engineering

France (FR) Linköpings universitet / Linköping University

Sweden (SE)

How to cite

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.

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