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By Topic

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

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2 Author(s)
Jieqiang Wei ; Johann Bernoulli Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands ; van der Schaft, A.

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.

Published in:

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

Date of Conference:

10-13 Dec. 2013