Imposing boundary conditions for a class of spatially-interconnected systems

Author

Langbort, Cédric ; Andrea, Raffaello D.

Author_Institution

Theor. & Appl. Mech., Cornell Univ., Ithaca, NY, USA

Volume

1

fYear

2003

fDate

4-6 June 2003

Firstpage

107

Abstract

We present a class of spatially interconnected systems with boundary conditions that have close links with their spatially invariant extensions. In particular well-posedness, stability and performance of the extension imply the same characteristics for the actual, finite extent system. In turn existing synthesis methods for control of spatially invariant systems can be extended to this class. The relation between the two kinds of system is proved using ideas based on the ´Method of Images´ of partial differential equations theory and uses symmetry properties of the interconnection as a key tool.

Keywords

boundary-value problems; control system synthesis; distributed control; interconnected systems; invariance; linear matrix inequalities; partial differential equations; stability; boundary conditions; finite extent system; image methods; partial differential equations theory; spatially interconnected systems; spatially invariant extensions; spatially invariant systems control; stability; symmetry properties; synthesis methods; well-posedness; Boundary conditions; Control system synthesis; Control systems; Intelligent vehicles; Interconnected systems; Mobile robots; Partial differential equations; Remotely operated vehicles; Sensor arrays; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1238922

Filename

1238922