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Disturbance Rejection in 2 x 2 Linear Hyperbolic Systems

Aamo, Ole Morten
Journal article, Peer reviewed
Accepted version
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Aamo-TAC2013.pdf (Locked)
URI
http://hdl.handle.net/11250/2475495
Date
2013
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  • Institutt for teknisk kybernetikk [2250]
  • Publikasjoner fra CRIStin - NTNU [20946]
Original version
IEEE Transactions on Automatic Control. 2013, 58 (5), 1095-1106.   10.1109/TAC.2012.2228035
Abstract
Many interesting problems in the oil and gas industry face the challenge of responding to disturbances from afar. Typically, the disturbance occurs at the inlet of a pipeline or the bottom of an oil well, while sensing and actuation equipment is installed at the outlet, only, kilometers away from the disturbance. The present paper develops an output feedback control law for such cases, based on modelling the transport phenomenon as a 2 × 2 linear partial differential equation (PDE) of hyperbolic type and the disturbance as a finite-dimensional linear system affecting the left boundary of the PDE. Sensing and actuation are co-located at the right boundary of the PDE. The design provides a separation principle, allowing a disturbance attenuating full-state feedback control law to be combined with an observer. The results are applied to a relevant problem from the oil and gas industry and demonstrated in simulations.
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Journal
IEEE Transactions on Automatic Control

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