Stability of dynamical distribution networks with arbitrary flow constraints and unknown in/outflows

Author

Jieqiang Wei ; van der Schaft, Arjan

Author_Institution

Johann Bernoulli Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands

fYear

2013

fDate

10-13 Dec. 2013

Firstpage

55

Lastpage

60

Abstract

A basic model of a dynamical distribution network is considered, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and outflows. We analyze the dynamics of the system in closed-loop with a distributed proportional-integral controller structure, where the flow inputs are constrained to take value in closed intervals. Results from our previous work are extended to general flow constraint intervals, and conditions for asymptotic load balancing are derived that rely on the structure of the graph and its flow constraints.

Keywords

PI control; closed loop systems; directed graphs; distributed control; network theory (graphs); stability; arbitrary flow constraints; asymptotic load balancing; closed-loop system; constant inflows; constant outflows; directed graph; distributed proportional-integral controller structure; dynamical distribution network stability; general flow constraint intervals; storage variables; unknown inflows; unknown ouflows; Closed loop systems; Input variables; Load management; Stability analysis; Standards; Trajectory; Vectors;

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.2013.6759858

Filename

6759858