Modeling and control of large convective flows with time-delays

Abstract

Large convective flows are involved in numerous applications with crucial real-time control objectives. Focusing on the - potentially time-varying - transport properties involved in the flow model and appropriate physical hypotheses, the aim of this paper is to propose a new modeling and model-based boundary control approach. Online estimation strategies are proposed to evaluate the time-varying transport coefficients. A mathematical equivalence is then obtained between the distributed model and a time-delay system, which is used to derive a feedback control law. The theoretical results are illustrated on simulations and on a mining ventilation benchmark.