Empirical Reduced-Order Modeling for Boundary Feedback Flow Control

Feedback control of flow resonances using balanced reduced-order models

This paper investigates the use of balanced reduced-ordermodels for the feedback control of flow resonances. Specifically, the Eigensystem Realization Algorithm is used to find balanced reduced-order models of the linear dynamics of such flow resonances. The method is applied first to a computational problem in direct numerical simulations of Although the resulting reduced-order models both hav...

Reduced Order Modeling of Reacting Shear Flow

Thermoacoustic instability in premixed combustors occurs occasionally at multiple frequencies, especially in configurations where flames are stabilized on separating shear layers that form downstream of sudden expansions or bluff bodies. While some of these frequencies are related to the acoustic field, others appear to be related to shear flow instability phenomena. It is shown in this paper t...

Reduced Order Modeling for Feedback Control of a Flexible Wing at Low Reynolds Numbers

A variety of unsteady aerodynamic models for a twodimensional rigid plate undergoing pitching and plunging motion is present in the literature. For a two-dimensional flexible wing, unsteady forces are generated by the wing deflection in time. Hence the necessity of unsteady models that also take into account the flexible degrees of freedom of the wing. In the present work, the deflection of a f...

Reduced Order Modeling of Nonlinear Control Systems

Reduced-Order Model-Based Feedback Control of Flow Over an Obstacle Using Center Manifold Methods

In this paper, we consider a boundary control problem governed by the two-dimensional Burgers’ equation for a configuration describing convective flow over an obstacle. Flows over obstacles are important as they arise in many practical applications. Burgers’ equations are also significant as they represent a simpler form of the more general Navier–Stokes momentum equation describing fluid flow....