Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/90903
Title: Bidirectional branch and bound for controlled variable selection Part II : exact local method for self-optimizing control
Authors: Kariwala, Vinay
Cao, Yi
Keywords: DRNTU::Engineering::Chemical engineering
DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering
DRNTU::Science::Mathematics::Applied mathematics::Optimization
Issue Date: 2009
Source: Kariwala, V., & Cao, Y. (2009). Bidirectional branch and bound for controlled variable selection : Part II - Exact local method for self-optimizing control. Computers and Chemical Engineering, 33(8), 1402-1412.
Series/Report no.: Computers and chemical engineering
Abstract: The selection of controlled variables (CVs) from available measurements through enumeration of all possible alternatives is computationally forbidding for large-dimensional problems. In Part I of this work, we proposed a bidirectional branch and bound (BAB) approach for subset selection problems and demonstrated its efficiency using the minimum singular value criterion. In this paper, the BAB approach is extended for CV selection using the exact local method for self-optimizing control. By redefining the loss expression, we show that the CV selection criterion for exact local method is bidirectionally monotonic. A number of novel determinant based criteria are proposed for fast pruning and branching purposes resulting in a computationally inexpensive BAB approach. We also establish a link between the problems of selecting a subset and combinations of measurements as CVs and present a partially bidirectional BAB method for selection of measurements, whose combinations can be used as CVs. Numerical tests using randomly generated matrices and binary distillation column case study demonstrate the computational efficiency of the proposed methods.
URI: https://hdl.handle.net/10356/90903
http://hdl.handle.net/10220/4628
ISSN: 0098-1354
DOI: 10.1016/j.compchemeng.2009.01.014
Schools: School of Chemical and Biomedical Engineering 
Rights: Computers and Chemical Engineering. Copyright © 2009 Elsevier Ltd All rights reserved.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SCBE Journal Articles

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