A decomposition approach to distributed control of spatially invariant systems

Jeff S. Shamma; Gürdal Arslan

doi:10.1109/TAC.2006.872826

A decomposition approach to distributed control of spatially invariant systems

Jeff S. Shamma^*, Gürdal Arslan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

This note considers the decentralized control of spatially invariant systems, i.e., systems of homogeneous interacting components. The main idea is for individual components to model interactions with neighbors as disturbances that satisfy certain magnitude bounds while simultaneously self-imposing symmetric magnitude bounds. These magnitude bounds can be interpreted as negotiated levels of interaction among components. It turns out that this approach is equivalent to constructing a feedback that is robustly stabilizing with structured uncertainties.

Original language	English (US)
Pages (from-to)	701-707
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	51
Issue number	4
DOIs	https://doi.org/10.1109/TAC.2006.872826
State	Published - Apr 2006
Externally published	Yes

Keywords

Constrained systems
Spatially invariant systems
Vehicular platoons

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2006.872826

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AB - This note considers the decentralized control of spatially invariant systems, i.e., systems of homogeneous interacting components. The main idea is for individual components to model interactions with neighbors as disturbances that satisfy certain magnitude bounds while simultaneously self-imposing symmetric magnitude bounds. These magnitude bounds can be interpreted as negotiated levels of interaction among components. It turns out that this approach is equivalent to constructing a feedback that is robustly stabilizing with structured uncertainties.

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A decomposition approach to distributed control of spatially invariant systems

Abstract

Keywords

ASJC Scopus subject areas

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