Exploiting symmetry for the distributed control of spatially interconnected systems

Author

Recht, Ben ; D´Andrea, Raffaello

Author_Institution

Center for Bits & Atoms., Massachusetts Inst. of Technol., Cambridge, MA, USA

Volume

1

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

598

Abstract

This paper discusses distributed controller design and analysis for distributed systems with noncommutative symmetry groups. We show how recent results for designing control systems 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 form of the symmetry group to produce a hierarchy of decreasingly conservative analysis and synthesis conditions.

Keywords

control system analysis; control system synthesis; distributed control; interconnected systems; linear matrix inequalities; conservative analysis; conservative synthesis; distributed controller design; distributed systems; interconnection topologies; noncommutative symmetry; semidefinite programming; spatially interconnected systems; Control design; Control system analysis; Control system synthesis; Control systems; Distributed control; Interconnected systems; Lattices; Linear matrix inequalities; Optimal control; Topology;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1272629

Filename

1272629