Achievable PID performance using sums of squares programming

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Achievable PID performance using sums of squares programming

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dc.contributor.author Sendjaja, Antonius Yudi
dc.contributor.author Kariwala, Vinay
dc.date.accessioned 2009-06-09T04:06:08Z
dc.date.available 2009-06-09T04:06:08Z
dc.date.copyright 2008
dc.date.issued 2009-06-09T04:06:08Z
dc.identifier.citation Sendjaja, A. Y., & Kariwala, V. (2008). Achievable PID performance using sums of squares programming. Journal of Process Control, 19(6), 1061-1065.
dc.identifier.issn 0959-1524
dc.identifier.uri http://hdl.handle.net/10220/4618
dc.description.abstract In 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.
dc.format.extent 12 p.
dc.language.iso en
dc.relation.ispartofseries Journal of process control
dc.rights Journal of Process Control Copyright © 2008 Elsevier Ltd All rights reserved. The journal's website is located at http://www.sciencedirect.com/science/journal/09591524.
dc.subject DRNTU::Engineering::Chemical engineering
dc.subject DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering
dc.subject DRNTU::Science::Mathematics::Applied mathematics::Optimization
dc.title Achievable PID performance using sums of squares programming
dc.type Journal Article
dc.contributor.school School of Chemical and Biomedical Engineering
dc.identifier.doi http://dx.doi.org/10.1016/j.jprocont.2008.12.005
dc.description.version Accepted version

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