Proper orthogonal decomposition for flow calculations and optimal control in a horizontal CVD reactor

Proper Orthogonal Decomposition for Flow Calculations and Optimal Control in a Horizontal Cvd Reactor

Proper orthogonal decomposition (which is also known as the Karhunen Lo eve decomposition) is a reduction method that is used to obtain low dimensional dynamic models of distributed parameter systems. Roughly speaking, proper orthogonal decomposition (POD) is an optimal technique of nding a basis which spans an ensemble of data, collected from an experiment or a numerical simulation of a dynami...

Proper Orthogonal Decomposition for Flow Calculations and Optimal Control in a Horizontal CVD Reactor

Proper Orthogonal Decomposition for Linear-Quadratic Optimal Control

Optimal control problems for partial differential equation are often hard to tackle numerically because their discretization leads to very large scale optimization problems. Therefore, different techniques of model reduction were developed to approximate these problems by smaller ones that are tractable with less effort. Balanced truncation [2, 66, 81] is one well studied model reduction techni...

Trust-region Proper Orthogonal Decomposition for Flow Control

The proper orthogonal decomposition (POD) is a model reduction technique for the simulation of physical processes governed by partial differential equations, e.g. fluid flows. It can also be used to develop reduced order control models. Fundamental 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....

Nonlinear Robust and Optimal Control Via Proper Orthogonal Decomposition

In this paper, a methodology based on proper orthogonal decomposition (POD) for computing approximate closed-loop optimal or robust control laws for finite-dimensional nonlinear systems is proposed. The solution can be obtained on any arbitrary domain of the state space represented by a multidimensional grid. The method only requires the computation of a limited number of well-conditioned two-p...