Communication delay co-design in ℌ2 decentralized control Using atomic norm minimization

Author

Matni, Nikolai

Author_Institution

Dept. of Control & Dynamical Syst., California Inst. of Technol., Pasadena, CA, USA

fYear

2013

fDate

10-13 Dec. 2013

Firstpage

6522

Lastpage

6529

Abstract

It has been shown that ℌ₂ decentralized control subject to delay constraints induced by a strongly connected communication graph can be solved by decomposing the controller into a centralized but delayed component, and a decentralized finite impulse response component, the latter of which can be solved for via a linearly constrained quadratic program. In this paper, we propose an atomic norm minimization based variant of this quadratic program that can be used for the co-design of a communication graph that is well suited for the control task.

Keywords

H^∞ control; control system synthesis; decentralised control; delays; graph theory; minimisation; quadratic programming; H₂ decentralized control; atomic norm minimization; communication delay codesign; control task; controller decomposition; decentralized finite impulse response component; delay constraints; linearly constrained quadratic program; strongly connected communication graph; Communities; Context; Decentralized control; Delays; Finite impulse response filters; Minimization; Optimization;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

Conference_Location

Firenze

ISSN

0743-1546

Print_ISBN

978-1-4673-5714-2

Type

conf

DOI

10.1109/CDC.2013.6760921

Filename

6760921