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IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 51, NO. 4, APRIL 2006 701 A Decomposition Approach to Distributed Control of
 

Summary: IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 51, NO. 4, APRIL 2006 701
A Decomposition Approach to Distributed Control of
Spatially Invariant Systems
Jeff S. Shamma and Gürdal Arslan
Abstract--This note considers the decentralized control of spatially in-
variant systems, i.e., systems of homogeneous interacting components. The
main idea is for individual components to model interactions with neigh-
bors as disturbances that satisfy certain magnitude bounds while simul-
taneously self-imposing symmetric magnitude bounds. These magnitude
bounds can be interpreted as negotiated levels of interaction among com-
ponents. It turns out that this approach is equivalent to constructing a feed-
back that is robustly stabilizing with structured uncertainties.
Index Terms--Constrained systems, spatially invariant systems, vehic-
ular platoons.
I. OVERVIEW
In a system with several interacting components, the challenge of
decentralized control is to design individual component controllers
that use "local" information but provide some type of "global" perfor-
mance.
One example is longitudinal control for a platoon of vehicles, where

  

Source: Arslan, Gürdal - Department of Electrical Engineering, University of Hawai'i at Manoa
Shamma, Jeff S. - School of Electrical and Computer Engineering, Georgia Institute of Technology

 

Collections: Engineering