dc.contributor.authorSendjaja, Antonius Yudi
dc.contributor.authorKariwala, Vinay
dc.date.accessioned2009-06-09T04:06:08Z
dc.date.available2009-06-09T04:06:08Z
dc.date.copyright2008en_US
dc.date.issued2008
dc.identifier.citationSendjaja, A. Y., & Kariwala, V. (2008). Achievable PID performance using sums of squares programming. Journal of Process Control, 19(6), 1061-1065.en_US
dc.identifier.issn0959-1524en_US
dc.identifier.urihttp://hdl.handle.net/10220/4618
dc.description.abstractIn addition to process elements like time delay, the PID structure of the controller can pose fundamental limitations on the achievable control performance. A key difficulty in characterizing the limitations due to controller structure is the non-convexity of the resulting optimization problem. In this paper, we present a global lower bound on the achievable PID performance, defined in terms of output variance, by solving a series of convex programs using sums of squares programming. This result is also extended to minimize the weighted sum of the variances of input rate and output. The tightness of the proposed bounds is demonstrated using several benchmark examples drawn from literature.en_US
dc.format.extent12 p.en_US
dc.language.isoenen_US
dc.relation.ispartofseriesJournal of process controlen_US
dc.rightsJournal of Process Control Copyright © 2008 Elsevier Ltd All rights reserved. The journal's website is located at http://www.sciencedirect.com/science/journal/09591524.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.titleAchievable PID performance using sums of squares programmingen_US
dc.typeJournal Article
dc.contributor.schoolSchool of Chemical and Biomedical Engineeringen_US
dc.identifier.doihttp://dx.doi.org/10.1016/j.jprocont.2008.12.005
dc.description.versionAccepted versionen_US


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