# Robust control of a nonlinear fluidics problem

Baramov, Lubimor, Tutty, Owen and Rogers, Eric (2003) Robust control of a nonlinear fluidics problem. Lecture notes in Control and Information Sciences, 281, 21-31.

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.