dc.contributor.authorKariwala, Vinay
dc.contributor.authorCao, Yi
dc.identifier.citationKariwala, 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.en_US
dc.description.abstractThe 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.en_US
dc.format.extent30 p.en_US
dc.relation.ispartofseriesComputers and chemical engineeringen_US
dc.rightsComputers and Chemical Engineering. Copyright © 2009 Elsevier Ltd All rights reserved.en_US
dc.subjectDRNTU::Engineering::Chemical engineering
dc.subjectDRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering
dc.subjectDRNTU::Science::Mathematics::Applied mathematics::Optimization
dc.titleBidirectional branch and bound for controlled variable selection Part II : exact local method for self-optimizing controlen_US
dc.typeJournal Article
dc.contributor.schoolSchool of Chemical and Biomedical Engineeringen_US
dc.description.versionAccepted versionen_US

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