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Robust control of a nonlinear fluidics problem

Robust control of a nonlinear fluidics problem
Robust control of a nonlinear fluidics problem
This chapter deals with finite-dimensional boundary control of the linearized 2D flow between two in finite parallel planes. Surface transpiration along a few regularly spaced sections of the bottom wall is used to control the flow. Measurements from several discrete, suitably placed shear-stress sensors provide the feedback. Unlike other studies in this area, the flow is not assumed to be periodic, and spatially growing flows are considered. An $H_\infty$ control scheme is designed to guarantee stability for the model set and to reduce the wall-shear stress at the channel wall. This design has been tested by simulations with a nonlinear Navier-Stokes PDE solver.
21-31
Springer Verlag
Baramov, Lubimor
82ff3f4b-191c-41b2-ba0a-01144372ea02
Tutty, Owen
c9ba0b98-4790-4a72-b5b7-09c1c6e20375
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Zinober, A.
Owens, D.H.
Baramov, Lubimor
82ff3f4b-191c-41b2-ba0a-01144372ea02
Tutty, Owen
c9ba0b98-4790-4a72-b5b7-09c1c6e20375
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Zinober, A.
Owens, D.H.

Baramov, Lubimor, Tutty, Owen and Rogers, Eric (2003) Robust control of a nonlinear fluidics problem. In, Zinober, A. and Owens, D.H. (eds.) Nonlinear and Adaptive Control. (Lecture Notes in Computer Science, , (doi:10.1007/3-540-45802-6_2), 281) Springer Verlag, pp. 21-31. (doi:10.1007/3-540-45802-6_2).

Record type: Book Section

Abstract

This chapter deals with finite-dimensional boundary control of the linearized 2D flow between two in finite parallel planes. Surface transpiration along a few regularly spaced sections of the bottom wall is used to control the flow. Measurements from several discrete, suitably placed shear-stress sensors provide the feedback. Unlike other studies in this area, the flow is not assumed to be periodic, and spatially growing flows are considered. An $H_\infty$ control scheme is designed to guarantee stability for the model set and to reduce the wall-shear stress at the channel wall. This design has been tested by simulations with a nonlinear Navier-Stokes PDE solver.

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More information

Published date: 2003
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 259222
URI: http://eprints.soton.ac.uk/id/eprint/259222
PURE UUID: d00f4767-4eed-4eca-bba7-9c7869e6ce96
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 23 Mar 2004
Last modified: 24 Sep 2020 01:31

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