Distributed Control of Positive Systems

Details Distributed Control of Positive Systems Distributed Control of Positive Systems

2012-02-29

arxiv.org/abs/1203.0047v1

Mathematics

Optimization and Control

Scientific paper

For positive systems, and more generally positively dominated systems, it is shown that distributed H-infinity optimal controllers can be computed using linear programming, with a complexity that scales linearly with the number of states and interconnections. Hence two fundamental advantages are achieved compared to classical methods for multi-variable control: Distributed implementations and scalable computations. The results are illustrated by examples from control of mechanical structures, transportation networks and electrical power transmission.

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