Keywords
Advanced process control, Differential algebraic equations, Model predictive control, Dynamic parameter estimation, Data reconciliation, Dynamic optimization
Abstract
This paper describes nonlinear methods in model building, dynamic data reconciliation, and dynamic optimization that are inspired by researchers and motivated by industrial applications. A new formulation of the ℓ1-norm objective with a dead-band for estimation and control is presented. The dead-band in the objective is desirable for noise rejection, minimizing unnecessary parameter adjustments and movement of manipulated variables. As a motivating example, a small and well-known nonlinear multivariable level control problem is detailed that has a number of common characteristics to larger controllers seen in practice. The methods are also demonstrated on larger problems to reveal algorithmic scaling with sparse methods. The implementation details reveal capabilities of employing nonlinear methods in dynamic applications with example code in both Matlab and Python programming languages.
Original Publication Citation
Hedengren, John D., et al. "Nonlinear modeling, estimation and predictive control in APMonitor." Computers & Chemical Engineering 70 (2014): 133-148.
BYU ScholarsArchive Citation
Hedengren, John; Asgharzadeh Shishavan, Reza; Powell, Kody M.; and Edgar, Thomas F., "Nonlinear Modeling, Estimation and Predictive Control in APMonitor" (2014). Faculty Publications. 1667.
https://scholarsarchive.byu.edu/facpub/1667
Document Type
Peer-Reviewed Article
Publication Date
2014-11-05
Permanent URL
http://hdl.lib.byu.edu/1877/3607
Publisher
Elsevier
Language
English
College
Ira A. Fulton College of Engineering and Technology
Department
Chemical Engineering
Copyright Status
Copyright © 2014 Elsevier Ltd. All rights reserved. This is the author's submitted version of this article. The definitive version can be found at http://www.sciencedirect.com/science/article/pii/S0098135414001306