Trust-Region Proper Orthogonal Decomposition for Flow Control (2000)

Content Provider	CiteSeerX
Author	Arian, Eyal Fahl, Marco Sachs, Ekkehard W.
Abstract	. The proper orthogonal decomposition (POD) is a model reduction technique for the simulation of physical processes governed by partial di#erential equations, e.g. fluid flows. It can also be used to develop reduced order control models. The essential is the computation of POD basis functions that represent the influence of the control action on the system in order to get a suitable control model. We present an approach where the suitable reduced order model is derived successively and give global convergence results. Keywords: proper orthogonal decomposition, flow control, reduced order modeling, trust region methods, global convergence 1. Introduction. We present a robust reduced order method for the control of complex time-dependent physical processes governed by partial di#erential equations (PDE). Such a control problem often is hard to solve because of the high order system that describes the state (a large number of (finite element) basis elements for every point in the time d...
File Format	PDF
Language	English
Publisher Date	2000-01-01
Publisher Institution	Institute for Computer
Access Restriction	Open
Subject Keyword	Trust-region Proper Orthogonal Decomposition Flow Control Partial Di Erential Equation Proper Orthogonal Decomposition Trust Region Method Physical Process Large Number Control Action Control Problem High Order System Pod Basis Function Global Convergence Result Complex Time-dependent Physical Process Order Method Model Reduction Technique Suitable Reduced Order Model Reduced Order Control Model Suitable Control Model Finite Element Order Modeling Global Convergence Basis Element
Content Type	Text
Resource Type	Technical Report