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Flow control in gas networks: Exact controllability to a given demand
Author(s) -
Gugat M.,
Herty M.,
Schleper V.
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1394
Subject(s) - controllability , gas compressor , mathematics , differentiable function , state (computer science) , flow (mathematics) , compressor station , control (management) , pipeline transport , boundary (topology) , flow control (data) , pipeline (software) , control theory (sociology) , mathematical optimization , computer science , mathematical analysis , engineering , algorithm , geometry , computer network , mechanical engineering , artificial intelligence , programming language
Abstract We consider a network of pipelines where the flow is controlled by a number of compressors. The consumer demand is described by desired boundary traces of the system state. We present conditions that guarantee the existence of compressor controls such that after a certain finite time the state at the consumer nodes is equal to the prescribed data. We consider this problem in the framework of continuously differentiable states. We give an explicit construction of the control functions for the control of compressor stations in gas distribution networks. Copyright © 2010 John Wiley & Sons, Ltd.