{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T08:58:40Z","timestamp":1776329920200,"version":"3.50.1"},"reference-count":38,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2012,7,1]],"date-time":"2012-07-01T00:00:00Z","timestamp":1341100800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"funder":[{"name":"European Research Council","award":["226462"],"award-info":[{"award-number":["226462"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computers & Chemical Engineering"],"published-print":{"date-parts":[[2012,7]]},"DOI":"10.1016\/j.compchemeng.2012.01.009","type":"journal-article","created":{"date-parts":[[2012,1,30]],"date-time":"2012-01-30T21:36:47Z","timestamp":1327959407000},"page":"277-287","source":"Crossref","is-referenced-by-count":38,"special_numbering":"C","title":["Combined model approximation techniques and multiparametric programming for explicit nonlinear model predictive control"],"prefix":"10.1016","volume":"42","author":[{"given":"Pedro","family":"Rivotti","sequence":"first","affiliation":[]},{"given":"Romain S.C.","family":"Lambert","sequence":"additional","affiliation":[]},{"given":"Efstratios N.","family":"Pistikopoulos","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.compchemeng.2012.01.009_bib0005","series-title":"Nonlinear model predictive control, Vol. 384 of lecture notes in control and information sciences","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1007\/978-3-642-01094-1_29","article-title":"A survey on explicit model predictive control","author":"Alessio","year":"2009"},{"issue":"4","key":"10.1016\/j.compchemeng.2012.01.009_bib0010","doi-asserted-by":"crossref","first-page":"731","DOI":"10.1016\/j.compchemeng.2004.09.005","article-title":"Equation-free gaptooth-based controller design for distributed complex\/multiscale processes","volume":"29","author":"Armaou","year":"2005","journal-title":"Computers and Chemical Engineering"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0015","unstructured":"Astrid, P. (2004). Reduction of process simulation models: A proper orthogonal decomposition approach. Ph. D. Report. Technical University of Eindhoven."},{"issue":"1","key":"10.1016\/j.compchemeng.2012.01.009_bib0020","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/S0005-1098(01)00174-1","article-title":"The explicit linear quadratic regulator for constrained systems","volume":"38","author":"Bemporad","year":"2002","journal-title":"Automatica"},{"issue":"7","key":"10.1016\/j.compchemeng.2012.01.009_bib0025","doi-asserted-by":"crossref","first-page":"1067","DOI":"10.1002\/aic.690320703","article-title":"Dynamic compartmental models for separation processes","volume":"32","author":"Benallou","year":"1986","journal-title":"AIChE Journal"},{"issue":"5","key":"10.1016\/j.compchemeng.2012.01.009_bib0030","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1016\/j.compchemeng.2009.10.012","article-title":"Recent advances in multiparametric nonlinear programming","volume":"34","author":"Dom\u00ed nguez","year":"2010","journal-title":"Computers and Chemical Engineering"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0035","series-title":"Proceedings of the nonlinear control systems","first-page":"539","article-title":"A novel mp-NLP algorithm for explicit\/multi-parametric NMPC","author":"Dom\u00ed nguez","year":"2010"},{"issue":"2","key":"10.1016\/j.compchemeng.2012.01.009_bib0040","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1021\/ie100245z","article-title":"Recent advances in explicit multiparametric nonlinear model predictive control","volume":"50","author":"Dominguez","year":"2011","journal-title":"Industrial and Engineering Chemistry Research"},{"issue":"4-5","key":"10.1016\/j.compchemeng.2012.01.009_bib0045","doi-asserted-by":"crossref","first-page":"754","DOI":"10.1016\/j.compchemeng.2007.03.008","article-title":"MPC on a chip\u2014Recent advances on the application of multi-parametric model-based control","volume":"32","author":"Dua","year":"2008","journal-title":"Computers and Chemical Engineering"},{"issue":"4-5","key":"10.1016\/j.compchemeng.2012.01.009_bib0050","doi-asserted-by":"crossref","first-page":"715","DOI":"10.1016\/S0098-1354(01)00797-9","article-title":"A multiparametric programming approach for mixed-integer quadratic engineering problems","volume":"26","author":"Dua","year":"2002","journal-title":"Computers and Chemical Engineering"},{"issue":"1","key":"10.1016\/j.compchemeng.2012.01.009_bib0055","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1023\/A:1019241000636","article-title":"An algorithm for the solution of multiparametric mixed integer linear programming problems","volume":"99","author":"Dua","year":"2000","journal-title":"Annals of Operations Research"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0060","series-title":"Proceedings of the advances in system simulation, SIMUL\u201909, September","first-page":"12","article-title":"Comparison of Monte Carlo and quasi Monte Carlo sampling methods in high dimensional model representation","author":"Feil","year":"2009"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0065","series-title":"Introduction to sensitivity and stability analysis in nonlinear programming","author":"Fiacco","year":"1983"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0070","series-title":"Assessment and future directions of nonlinear model predictive control, Vol. 358","author":"Findeisen","year":"2007"},{"issue":"10","key":"10.1016\/j.compchemeng.2012.01.009_bib0075","doi-asserted-by":"crossref","first-page":"1379","DOI":"10.1016\/S0098-1354(02)00120-5","article-title":"An improved method for nonlinear model reduction using balancing of empirical gramians","volume":"26","author":"Hahn","year":"2002","journal-title":"Computers and Chemical Engineering"},{"issue":"36","key":"10.1016\/j.compchemeng.2012.01.009_bib0080","doi-asserted-by":"crossref","first-page":"7192","DOI":"10.1021\/jp9843398","article-title":"An efficient chemical kinetics solver using high dimensional model representation","volume":"103","author":"Jeffrey","year":"1999","journal-title":"The Journal of Physical Chemistry A"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0085","series-title":"Proceedings of the 41st IEEE conference on decision and control, Vol. 3, IEEE","first-page":"2768","article-title":"On multi-parametric nonlinear programming and explicit nonlinear model predictive control","author":"Johansen","year":"2002"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0090","unstructured":"Kvasnica, M., Grieder, P., & Baoti\u0107, M. (2004). Multi-parametric toolbox (MPT). http:\/\/control.ee.ethz.ch\/mpt\/."},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0095","series-title":"Proceedings of the IFAC congress, vol. F","first-page":"473","article-title":"Empirical model reduction of controlled nonlinear systems","author":"Lall","year":"1999"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0100","series-title":"Proceedings of the 21st European symposium on computer aided process engineering, Elsevier Science, Ltd.","first-page":"738","article-title":"A novel approximation technique for online and multi-parametric model predictive control","author":"Lambert","year":"2011"},{"issue":"37","key":"10.1016\/j.compchemeng.2012.01.009_bib0105","doi-asserted-by":"crossref","first-page":"8721","DOI":"10.1021\/jp014567t","article-title":"Practical approaches to construct rs-HDMR component functions","volume":"106","author":"Li","year":"2002","journal-title":"Journal of Physical Chemistry A"},{"issue":"6","key":"10.1016\/j.compchemeng.2012.01.009_bib0110","doi-asserted-by":"crossref","first-page":"789","DOI":"10.1016\/S0005-1098(99)00214-9","article-title":"Constrained model predictive control: Stability and optimality","volume":"36","author":"Mayne","year":"2000","journal-title":"Automatica"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0115","series-title":"SIAM-AMS Proceedings, Vol. 9","first-page":"27","article-title":"Optimality criteria in nonlinear programming","author":"McCormick","year":"1976"},{"issue":"1","key":"10.1016\/j.compchemeng.2012.01.009_bib0120","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1109\/TAC.1981.1102568","article-title":"Principal component analysis in linear systems: Controllability, observability, and model reduction","volume":"26","author":"Moore","year":"1981","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0125","series-title":"Proceedings of the 18th European symposium on computer aided process engineering, Elsevier Science, Ltd.","first-page":"405","article-title":"A combined balanced truncation and multi-parametric programming approach for linear model predictive control","author":"Narciso","year":"2008"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0130","unstructured":"ParOS (2004). Parametric optimization programming (POP). http:\/\/www.parostech.co.uk."},{"issue":"2","key":"10.1016\/j.compchemeng.2012.01.009_bib0135","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/S0098-1354(01)00739-6","article-title":"On-line optimization via off-line parametric optimization tools","volume":"26","author":"Pistikopoulos","year":"2002","journal-title":"Computers and Chemical Engineering"},{"issue":"8","key":"10.1016\/j.compchemeng.2012.01.009_bib0140","doi-asserted-by":"crossref","first-page":"1918","DOI":"10.1002\/aic.11965","article-title":"Perspectives in multiparametric programming and explicit model predictive control","volume":"55","author":"Pistikopoulos","year":"2009","journal-title":"AIChE Journal"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0145","unstructured":"Rewienski, M. (2003). A trajectory piecewise-linear approach to model order reduction of nonlinear dynamical systems. Ph. D. Thesis. Citeseer."},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0150","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/978-3-540-72699-9_15","article-title":"Towards the design of parametric model predictive controllers for non-linear constrained systems","author":"Sakizlis","year":"2007","journal-title":"Assessment and Future Directions of Nonlinear Model Predictive Control"},{"issue":"1","key":"10.1016\/j.compchemeng.2012.01.009_bib0155","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1080\/00207179508921533","article-title":"Model reduction with balanced realizations","volume":"62","author":"Samar","year":"1995","journal-title":"International Journal of Control"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0160","series-title":"Multivariable feedback control: Analysis and design","author":"Skogestad","year":"2005"},{"issue":"4","key":"10.1016\/j.compchemeng.2012.01.009_bib0165","first-page":"784","article-title":"On the distribution of points in a cube and the approximate evaluation of integrals","volume":"7","author":"Sobol\u2019","year":"1967","journal-title":"Zhurnal Vychislitel\u2019noi Matematiki i Matematicheskoi Fiziki"},{"issue":"1-3","key":"10.1016\/j.compchemeng.2012.01.009_bib0170","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/S0378-4754(00)00270-6","article-title":"Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates","volume":"55","author":"Sobol","year":"2001","journal-title":"Mathematics and Computers in Simulation"},{"issue":"3","key":"10.1016\/j.compchemeng.2012.01.009_bib0175","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1016\/S0005-1098(02)00250-9","article-title":"An algorithm for multi-parametric quadratic programming and explicit MPC solutions","volume":"39","author":"T\u00f8ndel","year":"2003","journal-title":"Automatica"},{"issue":"1","key":"10.1016\/j.compchemeng.2012.01.009_bib0180","first-page":"127","article-title":"Mathematical models of flexible spacecraft dynamics\u2014A survey of order reduction approaches","volume":"1985","author":"Van Woerkom","year":"1986","journal-title":"Automatic Control in Space"},{"key":"10.1016\/j.compchemeng.2012.01.009_bib0185","doi-asserted-by":"crossref","DOI":"10.1016\/j.compchemeng.2011.01.023","article-title":"Off-line model reduction for on-line linear MPC of nonlinear large-scale distributed systems","author":"Xie","year":"2011","journal-title":"Computers and Chemical Engineering"},{"issue":"8","key":"10.1016\/j.compchemeng.2012.01.009_bib0190","doi-asserted-by":"crossref","first-page":"800","DOI":"10.1002\/rnc.1250","article-title":"Fast implementations and rigorous models: Can both be accommodated in NMPC?","volume":"18","author":"Zavala","year":"2008","journal-title":"International Journal of Robust and Nonlinear Control"}],"container-title":["Computers & Chemical Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0098135412000191?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0098135412000191?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,5,7]],"date-time":"2020-05-07T01:57:58Z","timestamp":1588816678000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0098135412000191"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,7]]},"references-count":38,"alternative-id":["S0098135412000191"],"URL":"https:\/\/doi.org\/10.1016\/j.compchemeng.2012.01.009","relation":{},"ISSN":["0098-1354"],"issn-type":[{"value":"0098-1354","type":"print"}],"subject":[],"published":{"date-parts":[[2012,7]]}}}