Distributed control of systems over discrete Groups

This paper discusses distributed controller design and analysis for distributed systems with arbitrary discrete symmetry groups. We show how recent results for designing controllers for spatially interconnected systems, based on semidefinite programming, are applicable to a much larger class of inte...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 49; no. 9; pp. 1446 - 1452
Main Authors Recht, B., D'Andrea, R.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.09.2004
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Automatic control
Communication system control
Control design
Control system analysis
Control system synthesis
Control systems
Design engineering
Distributed control
Hierarchies
Interconnected systems
Interconnection
Linear matrix inequalities
Network synthesis
Optimal control
Programming
Symmetry
Synthesis
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Summary:This paper discusses distributed controller design and analysis for distributed systems with arbitrary discrete symmetry groups. We show how recent results for designing controllers for spatially interconnected systems, based on semidefinite programming, are applicable to a much larger class of interconnection topologies. We also show how to exploit the structure of the symmetry group to produce a hierarchy of decreasingly conservative analysis and synthesis conditions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2004.834122