A tutorial review of economic model predictive control methods

M Ellis, H Durand, PD Christofides - Journal of Process Control, 2014 - Elsevier
An overview of the recent results on economic model predictive control (EMPC) is presented
and discussed addressing both closed-loop stability and performance for nonlinear systems …

Optimizing process economics online using model predictive control

R Amrit, JB Rawlings, LT Biegler - Computers & Chemical Engineering, 2013 - Elsevier
Optimizing process economics in model predictive control traditionally has been done using
a two-step approach in which the economic objectives are first converted to steady-state …

[图书][B] Combinatorial scientific computing

U Naumann, O Schenk - 2012 - api.taylorfrancis.com
Combinatorial techniques have become essential tools across the landscape of
computational science, and some of the combinatorial ideas undergirding these tools are …

Efficient computation of sparse Hessians using coloring and automatic differentiation

AH Gebremedhin, A Tarafdar… - INFORMS Journal …, 2009 - pubsonline.informs.org
The computation of a sparse Hessian matrix H using automatic differentiation (AD) can be
made efficient using the following four-step procedure:(1) Determine the sparsity structure of …

Tracking the gradients using the hessian: A new look at variance reducing stochastic methods

R Gower, N Le Roux, F Bach - International Conference on …, 2018 - proceedings.mlr.press
Our goal is to improve variance reducing stochastic methods through better control variates.
We first propose a modification of SVRG which uses the Hessian to track gradients over …

A new framework for the computation of Hessians

RM Gower, MP Mello - Optimization Methods and Software, 2012 - Taylor & Francis
We investigate the computation of Hessian matrices via Automatic Differentiation, using a
graph model and an algebraic model. The graph model reveals the inherent symmetries …

Algorithmic differentiation of a complex C++ code with underlying libraries

M Sagebaum, NR Gauger, U Naumann, J Lotz… - Procedia Computer …, 2013 - Elsevier
Algorithmic differentiation (AD) is a mathematical concept which evolved over the last
decades to a very robust and well understood tool for computation of derivatives. It can be …

Exploiting sparsity in jacobian computation via coloring and automatic differentiation: a case study in a simulated moving bed process

AH Gebremedhin, A Pothen, A Walther - Advances in automatic …, 2008 - Springer
Using a model from a Chromatographic separation process in chemical engineering, we
demonstrate that large, sparse Jacobians of fairly complex structures can be computed …

Efficient implementation of collocation methods for optimization using openmodelica and ADOL-C

V Ruge, W Braun, B Bachmann, A Walther… - 2014 - ep.liu.se
Efficient calculation of the solutions of nonlinear optimal control problems (NOCPs) is
becoming more and more important for today's control engineers. The systems to be …

[图书][B] Automatic Differentiation in MATLAB using ADMAT with Applications

TF Coleman, W Xu - 2016 - SIAM
A fundamental need that occurs across the field of scientific computing is the calculation of
partial derivatives. For example, to determine the direction of sharpest ascent of a …