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# Robust control of a nonlinear fluidics problem

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, 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.

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.org/0000-0003-0179-9398

## Catalogue record

Date deposited: 23 Mar 2004

## Contributors

Author: Lubimor Baramov
Author: Owen Tutty
Author: Eric Rogers
Editor: A. Zinober
Editor: D.H. Owens