liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A Primal-Dual Method for Low Order H-Infinity Controller Synthesis
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2010 (English)In: Proceedings of Reglermöte 2010, Lund, 2010Conference paper, Published paper (Other academic)
Abstract [en]

When designing robust controllers, H-infinity synthesis is a common tool to use. The controllers that result from these algorithms are typically of very high order, which complicates implementation. However, if a constraint on the maximum order of the controller is set, that is lower than the order of the (augmented) system, the problem becomes nonconvex and it is relatively hard to solve. These problems become very complex, even when the order of the system is low.

The approach used in this work is based on formulating the constraint on the maximum order of the controller as a polynomial (or rational) equation. By using the fact that the polynomial (or rational) is non-negative on the feasible set, the problem is reformulated as an optimization problem where the nonconvex function is to be minimized over a convex set defined by linear matrix inequalities.

The proposed method is evaluated together with a well-known method from the literature. The results indicate that the proposed method performs slightly better.

Place, publisher, year, edition, pages
Lund, 2010.
Keyword [en]
H-infinity synthesis, rank constraints, rational constraints, primal-dual methods, optimization
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-63326OAI: oai:DiVA.org:liu-63326DiVA: diva2:378133
Conference
Reglermöte 2010, Lund, Sweden, 8-9 June, 2010
Funder
Swedish Research Council
Available from: 2010-12-15 Created: 2010-12-15 Last updated: 2013-07-09

Open Access in DiVA

No full text

Other links

Related report

Authority records BETA

Ankelhed, DanielHelmersson, AndersHansson, Anders

Search in DiVA

By author/editor
Ankelhed, DanielHelmersson, AndersHansson, Anders
By organisation
Automatic ControlThe Institute of Technology
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 178 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf