%0 Journal Article %1 ISI:000347592200003 %A Mesmoudi, Salma %A Alvarez, Isabelle %A Martin, Sophie %A Reuillon, Romain %A Sicard, Mariette %A Perrot, Nathalie %C THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND %D 2014 %I ELSEVIER SCI LTD %J JOURNAL OF PROCESS CONTROL %K Food Viability %N 12, SI %P 18-28 %R 10.1016/j.jprocont.2014.09.013 %T Coupling geometric analysis and viability theory for system exploration: Application to a living food system %V 24 %X This paper addresses the issue of studying a food complex system in a reverse engineering manner with the aim of identifying the set of all possible actions that makes it reach a quality target with respect to manufacturing constraints. Once the set of actions is identified, several criteria can be considered to identify interesting trajectories and control policies. A viability approach, coupling the viability theory and a geometric approach of robustness, is proposed to study complex dynamical systems. It can be implemented for several types of systems, from linear to non linear or hybrid systems. The proposed framework was adapted to a living food system: a ripening model of Camembert cheese to identify the set of states and actions (capture basin) from which it is possible to reach a predefined quality target. Within the set of viable trajectories, particular trajectories that improve the Camembert cheese ripening process are identified using the proposed approach. The results are applied at a pilot scale and are discussed in this paper. (C) 2014 Elsevier Ltd. All rights reserved.

@article{ISI:000347592200003, abstract = {{This paper addresses the issue of studying a food complex system in a reverse engineering manner with the aim of identifying the set of all possible actions that makes it reach a quality target with respect to manufacturing constraints. Once the set of actions is identified, several criteria can be considered to identify interesting trajectories and control policies. A viability approach, coupling the viability theory and a geometric approach of robustness, is proposed to study complex dynamical systems. It can be implemented for several types of systems, from linear to non linear or hybrid systems. The proposed framework was adapted to a living food system: a ripening model of Camembert cheese to identify the set of states and actions (capture basin) from which it is possible to reach a predefined quality target. Within the set of viable trajectories, particular trajectories that improve the Camembert cheese ripening process are identified using the proposed approach. The results are applied at a pilot scale and are discussed in this paper. (C) 2014 Elsevier Ltd. All rights reserved.}}, added-at = {2015-05-15T21:46:32.000+0200}, address = {{THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND}}, affiliation = {{Mesmoudi, S (Reprint Author), ISCPIF, LIP6, Paris, France. Mesmoudi, Salma, ISCPIF, LIP6, Paris, France. Alvarez, Isabelle, IRSTEA, LIP6, Clermont Ferrand, France. Martin, Sophie, IRSTEA, Clermont Ferrand, France. Reuillon, Romain, ISCPIF, Paris, France. Sicard, Mariette; Perrot, Nathalie, INRA, UMR GMPA 782, Paris, France.}}, author = {Mesmoudi, Salma and Alvarez, Isabelle and Martin, Sophie and Reuillon, Romain and Sicard, Mariette and Perrot, Nathalie}, author-email = {{salma.mesmoudi@iscpif.ir isabelle.alvarez@lip6.fr sophie.martin@irstea.fr romain.reuillon@iscpif.fr mariette.sicard@grignon.inra.fr nathalie.perrot@grignon.inra.fr}}, biburl = {https://www.bibsonomy.org/bibtex/2ec920896197ea7be3460fd1994bd8af0/iscpif}, cited-references = {{Alvarez I, 2011, UNDERST COMPLEX SYST, P193, DOI 10.1007/978-3-642-20423-4\_8. Alvarez I, 2010, FRONT ARTIF INTEL AP, V215, P835, DOI 10.3233/978-1-60750-606-5-835. Aubin JP, 2011, VIABILITY THEORY: NEW DIRECTIONS, SECOND EDITION, P1, DOI 10.1007/978-3-642-16684-6. Aubin J. - P., 1991, VIABILITY THEORY. Aubin JP, 2001, SIAM J CONTROL OPTIM, V40, P853, DOI 10.1137/S036301290036968X. Aubin JP, 2005, IEEE DECIS CONTR P, P3519. Aubin J.-P., 1990, SET VALUED ANAL. Aziza F, 2006, RISK ANAL, V26, P731, DOI 10.1111/j.1539-6924.2006.00758.x. BARRIERE O, 2008, PARALLEL PROBLEM SOL, V5199, P859, DOI 10.1007/978-3-540-87700-4\_85. Baudrit C, 2009, J FOOD ENG, V93, P284, DOI 10.1016/j.jfoodeng.2009.01.031. Baudrit C, 2008, LECT NOTES ARTIF INT, V5178, P265, DOI 10.1007/978-3-540-85565-1\_33. Bona E, 2007, J FOOD ENG, V79, P771, DOI 10.1016/j.jfoodeng.2006.02.041. Bonneuil N, 1997, J MATH BIOL, V35, P261, DOI 10.1007/s002850050052. Bonneuil N., 2004, HYBRID GUARANTEED CA. Bonneuil N, 2000, J MATH SOCIOL, V24, P175. Cabezas L, 2006, EUR FOOD RES TECHNOL, V222, P223, DOI 10.1007/s00217-005-0016-z. Chapel L, 2008, ECOL MODEL, V212, P10, DOI 10.1016/j.ecolmodel.2007.10.007. Helias A, 2007, J DAIRY SCI, V90, P5324, DOI 10.3168/jds.2007-0272. Hirata T, 1996, INFORM PROCESS LETT, V58, P129, DOI 10.1016/0020-0190(96)00049-X. Ioannou I, 2003, LECT NOTES ARTIF INT, V2715, P595. Jimenez-Marquez SA, 2003, COMPUT CHEM ENG, V27, P631, DOI 10.1016/S0098-1354(02)00263-6. Leclercq-Perlat MN, 2004, J DAIRY RES, V71, P346, DOI 10.1017/S0022029904000196. Martin S, 2004, ECOL SOC, V9. Meijster A, 2000, COMP IMAG VIS, V18, P331. Perrot N, 2006, FUZZY SET SYST, V157, P1145, DOI 10.1016/j.fss.2005.12.013. Perrot N, 2011, TRENDS FOOD SCI TECH, V22, P304, DOI 10.1016/j.tifs.2011.03.008. Pious S., 1993, PSYCHOL JUDGMENT DEC. Riahi MH, 2007, J DAIRY SCI, V90, P2525, DOI 10.3168/jds.2006-357. SAINTPIERRE P, 1994, APPL MATH OPT, V29, P187, DOI 10.1007/BF01204182. Sicard M., 2011, FOOD CONTROL, V23, P312. Sicard M, 2011, EXPERT SYST APPL, V38, P11804, DOI 10.1016/j.eswa.2011.03.068. Sicard M., 2010, THESIS. Sicard M, 2011, J DAIRY SCI, V94, P1, DOI 10.3168/jds.2009-2984.}}, doc-delivery-number = {{AY5DA}}, doi = {{10.1016/j.jprocont.2014.09.013}}, eissn = {{1873-2771}}, funding-acknowledgement = {{French ANR; European Community's Seventh Framework Programme (FP7) {[}FP7-222 654-DREAM]}}, funding-text = {{We thank Leclercq-Perlat M.N., Lecornue, F., Guillemin H., Savy, M., Picque D. for the experiments, Bourgine, P. for the ideas, Tonda, A. for the re-phrasing and English, the French ANR for the grant for the INCALIN project and the funding from the European Community's Seventh Framework Programme (FP7/2007-2013) under the grant agreement no FP7-222 654-DREAM.}}, interhash = {65680f140bbad85d0266a9a981cd977b}, intrahash = {ec920896197ea7be3460fd1994bd8af0}, issn = {{0959-1524}}, journal = {{JOURNAL OF PROCESS CONTROL}}, journal-iso = {{J. Process Control}}, keywords = {Food Viability}, keywords-plus = {{CHEESE MASS-LOSS; EXPERT KNOWLEDGE; RIPENING PROCESS; LINEAR-TIME; MODEL; INTEGRATION; RESILIENCE; ALGORITHM; NETWORKS; KERNELS}}, language = {{English}}, month = {{DEC}}, number = {{12, SI}}, number-of-cited-references = {{33}}, pages = {{18-28}}, publisher = {{ELSEVIER SCI LTD}}, research-areas = {{Automation \& Control Systems; Engineering}}, times-cited = {{0}}, timestamp = {2015-06-05T00:20:13.000+0200}, title = {Coupling geometric analysis and viability theory for system exploration: Application to a living food system}, type = {{Article}}, unique-id = {{ISI:000347592200003}}, volume = {{24}}, web-of-science-categories = {{Automation \& Control Systems; Engineering, Chemical}}, year = 2014 }