L(1) IDENTIFICATION APPLIED TO A FLUID-DYNAMICS PROBLEM

An application of robust identification techniques to a fluid dynamics problem is presented. The experimental data proceeds from a Taylor-Co uette instability process, Its dynamics is usually modeled by a linear PDE (partial differential equation) which does not describe adequatel y certain oscillatory behavior, To this end we apply an identification technique to produce a more suitable description, The dynamics of the problem is excited by a tracer impulse and step injection, The output consists of the tracer concentration at the outlet of the experimenta l setup, The process prevents a delay which is identified parametrical ly, For a given Reynolds number, the undelayed dynamics can be conside red as linear and infinite dimensional, It is identified nonparametric ally by means of a tuned asymptotically optimal l(1) robust identifica tion procedure, Several experiments are performed on this fluid dynami cs process for different Reynolds numbers and inputs, The identificati on procedure is applied to this experimental data to obtain linear del ayed models in each case.