Title :
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
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;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6759858
