Citation:
John McKernan, George Papadakis, James F. Whidborne; A linear state-space
representation of plane Poiseuille flow for control design: a tutorial.
International Journal of Modelling, Identification and Control 2006 - Vol. 1,
No.4 pp. 272 - 280
Abstract:
A method for the incorporation of wall transpiration into a model of lin-
earised plane Poiseuille °ow is presented, with the aim of producing a state-
space model suitable for the development of feedback control of transition to
turbulence in channel °ow. The system state is observed via wall shear-stress
measurements and controlled by wall transpiration. The streamwise discretisation
in the linearised model is by Fourier series, and the wall-normal discretisation
is by a Chebyshev polynomial basis, which is modi¯ed to conform to the control
boundary conditions. The paper is intended as a tutorial on the addition of
boundary control to a spectral model of a °uid continuum, to form a state-space
model, as used in the emerging multidisciplinary ¯eld of °ow control by means of
MEMs (microelectrical machines). The ultimate aim of such °ow control is the
reduction of skin-friction drag on moving
