Approximate Nonlinear Model Predictive Control with In Situ Adaptive Tabulation
Keywords
In situ adaptive tabulation, Nonlinear model predictive control, Computational reduction
Abstract
In situ adaptive tabulation (ISAT) is applied to store and retrieve solutions of nonlinear model predictive control (NMPC) problems. ISAT controls approximation error by adaptively building the database of NMPC solutions with piecewise linear local approximations. Unlike initial state or constraint parameterized constrained quadratic programming (QP) solutions, ISAT approximates NMPC solutions within a specified tolerance, thereby easing the dimensionality difficulties of these other techniques. In the limit, as the specified tolerance is reduced to zero and for linear models with quadratic objective functions, ISAT becomes an adaptive version of state parameterized storage and retrieval of mp-QP problems.
Original Publication Citation
http://www.sciencedirect.com/science/article/pii/S0098135407000531
BYU ScholarsArchive Citation
Hedengren, John and Edgar, Thomas F., "Approximate Nonlinear Model Predictive Control with In Situ Adaptive Tabulation" (2008). Faculty Publications. 1718.
https://scholarsarchive.byu.edu/facpub/1718
Document Type
Peer-Reviewed Article
Publication Date
2008-04-08
Permanent URL
http://hdl.lib.byu.edu/1877/3658
Publisher
Computers & Chemical Engineering
Language
English
Link to Data Set(s)
http://hedengren.net/research/isat.htm
College
Ira A. Fulton College of Engineering and Technology
Department
Chemical Engineering
Copyright Status
Copyright © 2007 Elsevier Ltd. All rights reserved.
Copyright Use Information
http://lib.byu.edu/about/copyright/