Linear quadratic control of plane Poiseuille flow–the transient behaviour

Transient Start-up of Plane Poiseuille Flow

INTRODUCTION This article investigates various improvements to two existing finite volume (fv) algorithms, specifically constructed to solve transient viscoelastic flow problems. Here, we consider model problems to identify fundamental algorithmic advances. Two alternative fv-approaches are advocated and contrasted for their properties, a hybrid cell-vertex scheme and a cell-centred staggered-g...

Vision-based Control of 2d Plane Poiseuille Flow

This paper introduces a new approach for active fluid flows control: the vision-based approach. By using vision, dense flow velocity maps can be estimated and used in an observer-free closed-loop scheme to control a flow. This new approach is validated on a 2D plane Poiseuille flow and is proven to outperform the existing Poiseuille flow control appraches which use a limited number of available...

Optimal Linear Quadratic Control

Linear Quadratic Optimal Control

In previous lectures, we discussed the design of state feedback controllers using using eigenvalue (pole) placement algorithms. For single input systems, given a set of desired eigenvalues, the feedback gain to achieve this is unique (as long as the system is controllable). For multi-input systems, the feedback gain is not unique, so there is additional design freedom. How does one utilize this...

Linear-quadratic Control and Quadratic Differential Forms

We consider the infinite time linear-quadratic control problem from a behavioral point of view. The performance functional is the integral of a quadratic differential form. A characterization of the stationary trajectories and of the local minima with respect to (left) compact support variations, as well as their relation to stability, are obtained. Finally, several theorems are derived that de...