Robust control of a nonlinear fluidics problem
This chapter deals with finite-dimensional boundary control of the linearized 2D flow between two infinite 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 ∞ 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.
KeywordsRobust Control Star Product Transfer Function Matrix Disturbance Model Proper Rational Function
Unable to display preview. Download preview PDF.
- 3.Baramov, L., Tutty, O.R., and Rogers, E. (2000) Robust control of plane Poiseuille flow. AIAA Paper 2000-2684.Google Scholar
- 5.Zhou, K. and Doyle, J. C. (1998), Essentials of Robust Control, Prentice-Hall.Google Scholar
- 7.Baramov, L., Tutty, O.R., and Rogers, E. (2001) H ∞ control for non-periodic planar channel flows. IEEE International Conference on Decision and Control, to appear.Google Scholar