{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T03:44:06Z","timestamp":1777520646033,"version":"3.51.4"},"reference-count":48,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[2003,3,1]],"date-time":"2003-03-01T00:00:00Z","timestamp":1046476800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Automatica"],"published-print":{"date-parts":[[2003,3]]},"DOI":"10.1016\/s0005-1098(02)00234-0","type":"journal-article","created":{"date-parts":[[2003,2,4]],"date-time":"2003-02-04T14:54:18Z","timestamp":1044370458000},"page":"403-415","source":"Crossref","is-referenced-by-count":66,"title":["Model validation for control and controller validation in a prediction error identification framework\u2014Part I: theory"],"prefix":"10.1016","volume":"39","author":[{"given":"Michel","family":"Gevers","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xavier","family":"Bombois","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Beno\u0131\u0302t","family":"Codrons","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G\u00e9rard","family":"Scorletti","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Brian D.O.","family":"Anderson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0005-1098(02)00234-0_BIB1","series-title":"Robust control\u2014the parametric approach","author":"Bhattacharyya","year":"1995"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB2","unstructured":"Bombois, X. (2000). Connecting prediction error identification and robust control analysis: A new framework. Technical report. Ph.D. thesis. CESAME, Universit\u00e9 Catholique de Louvain."},{"key":"10.1016\/S0005-1098(02)00234-0_BIB3","doi-asserted-by":"crossref","unstructured":"Bombois, X., Anderson, B. D. O., & Gevers, M. (2001a). Frequency domain image of a set of linearly parameterized transfer functions. In Proceedings of the sixth European control conference, Porto, Portugal.","DOI":"10.23919\/ECC.2001.7076116"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB4","doi-asserted-by":"crossref","unstructured":"Bombois, X., Gevers, M., & Scorletti, G. (1999). Controller validation based on an identified model. In CESAME Technical report 99.06, and 38th IEEE conference on decision and control, Phoenix, AZ (pp. 2816\u20132821).","DOI":"10.1109\/CDC.1999.831360"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB5","doi-asserted-by":"crossref","unstructured":"Bombois, X., Gevers, M., & Scorletti, G. (2000a). Controller validation for stability and performance based on a frequency domain uncertainty region obtained by stochastic embedding. In CD-ROM Proceedings of the 39th IEEE conference on decision and control, Sydney, Australia (pp. 689\u2013694).","DOI":"10.1109\/CDC.2000.912847"},{"issue":"11","key":"10.1016\/S0005-1098(02)00234-0_BIB6","doi-asserted-by":"crossref","first-page":"2141","DOI":"10.1109\/9.887643","article-title":"A measure of robust stability for an identified set of parameterized transfer functions","volume":"45","author":"Bombois","year":"2000","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"10","key":"10.1016\/S0005-1098(02)00234-0_BIB7","doi-asserted-by":"crossref","first-page":"1629","DOI":"10.1016\/S0005-1098(01)00104-2","article-title":"Robustness analysis tools for an uncertainty set obtained by prediction error identification","volume":"37","author":"Bombois","year":"2001","journal-title":"Automatica"},{"issue":"12","key":"10.1016\/S0005-1098(02)00234-0_BIB8","doi-asserted-by":"crossref","first-page":"1680","DOI":"10.1109\/9.736064","article-title":"Consistency of open-loop experimental frequency-response data with coprime factor plant models","volume":"43","author":"Boulet","year":"1998","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB9","doi-asserted-by":"crossref","unstructured":"Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory, SIAM studies in applied mathematics. Philadelphia: SIAM.","DOI":"10.1137\/1.9781611970777"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB10","doi-asserted-by":"crossref","unstructured":"Campi, M. C., Lecchini, A., & Savaresi, S. M. (2000). Virtual reference feedback tuning (VRFT): A new direct approach to the design of feedback controllers. In Proceedings of the 39th IEEE conference on decision and control, Sydney, Australia, pp. 623\u2013628.","DOI":"10.1109\/CDC.2000.912835"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB11","doi-asserted-by":"crossref","unstructured":"Campi, M. C., Lecchini, A., & Savaresi, S. M. (2002). Controller validation: A probabilistic approach based on prediction error identification, submitted for publication.","DOI":"10.1002\/acs.711"},{"issue":"6","key":"10.1016\/S0005-1098(02)00234-0_BIB12","doi-asserted-by":"crossref","first-page":"748","DOI":"10.1109\/9.587309","article-title":"Frequency-domain tests for validation of linear fractional uncertain models","volume":"42","author":"Chen","year":"1997","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB13","doi-asserted-by":"crossref","unstructured":"Date, P., & Vinnicombe, G. (1999). An algorithm for identification in the \u03bd-gap metric. In 38th IEEE conference on decision and control, Phoenix, AZ (pp. 3230\u20133235).","DOI":"10.1109\/CDC.1999.827767"},{"issue":"1","key":"10.1016\/S0005-1098(02)00234-0_BIB14","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1080\/13873959708837050","article-title":"Suboptimal feedback control by a scheme of iterative identification and control design","volume":"3","author":"de Callafon","year":"1997","journal-title":"Mathematical Modelling of Systems"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB15","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1016\/0005-1098(95)98483-M","article-title":"Quantification of uncertainty in transfer function estimation","volume":"31","author":"de Vries","year":"1995","journal-title":"Automatica"},{"issue":"6","key":"10.1016\/S0005-1098(02)00234-0_BIB16","doi-asserted-by":"crossref","first-page":"242","DOI":"10.1049\/ip-d.1982.0053","article-title":"Analysis of feedback systems with structured uncertainties","volume":"129-D","author":"Doyle","year":"1982","journal-title":"IEE Proceedings"},{"issue":"1","key":"10.1016\/S0005-1098(02)00234-0_BIB17","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1109\/9.62265","article-title":"Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics","volume":"36","author":"Fan","year":"1991","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB18","doi-asserted-by":"crossref","unstructured":"Gevers, M., Bombois, X., Codrons, B., De Bruyne, F., & Scorletti, G. (1999a). The role of experimental conditions in model validation for control. In A. Garulli, A. Tesi, & A. Vicino (Eds.), Robustness in identification and control\u2014proceedings of Siena workshop, July 1998, Vol. 245 of Lecture Notes in Control and Information Sciences (pp. 72\u201386). Berlin: Springer.","DOI":"10.1007\/BFb0109861"},{"issue":"3","key":"10.1016\/S0005-1098(02)00234-0_BIB19","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1016\/S0005-1098(02)00235-2","article-title":"Model validation for control and controller validation in a prediction error identification framework\u2014part II: Illustrations","volume":"39","author":"Gevers","year":"2003","journal-title":"Automatica"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB20","doi-asserted-by":"crossref","unstructured":"Gevers, M., Codrons, B., & De Bruyne, F. (1999b). Model validation in closed-loop. In Proceedings of the American control conference 99, San Diego, USA (pp. 326\u2013330).","DOI":"10.1109\/ACC.1999.782794"},{"issue":"5","key":"10.1016\/S0005-1098(02)00234-0_BIB21","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1109\/9.580876","article-title":"Model quality evaluation in H2 identification","volume":"42","author":"Giarr\u00e9","year":"1997","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"2","key":"10.1016\/S0005-1098(02)00234-0_BIB22","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1109\/9.554399","article-title":"H\u221e identification and model quality evaluation","volume":"42","author":"Giarr\u00e9","year":"1997","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB23","doi-asserted-by":"crossref","first-page":"913","DOI":"10.1109\/9.148344","article-title":"Quantifying the error in estimated transfer functions with application to model order selection","volume":"37","author":"Goodwin","year":"1992","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB24","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/0005-1098(92)90117-X","article-title":"A class of algorithms for identification in H\u221e","volume":"28","author":"Gu","year":"1992","journal-title":"Automatica"},{"issue":"11","key":"10.1016\/S0005-1098(02)00234-0_BIB25","doi-asserted-by":"crossref","first-page":"1516","DOI":"10.1109\/9.649691","article-title":"Identification of probabilistic system uncertainty regions by explicit evaluation of bias and variance errors","volume":"42","author":"Hakvoort","year":"1997","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB26","doi-asserted-by":"crossref","first-page":"1163","DOI":"10.1109\/9.90229","article-title":"Control oriented system identification","volume":"AC-36","author":"Helmicki","year":"1991","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB27","doi-asserted-by":"crossref","unstructured":"Hildebrand, R., & Gevers, M. (2002). Identification for control: Optimal input design with respect to a worst-case \u03bd-gap cost function. SIAM Journal on Control and Optimization, accepted for publication.","DOI":"10.1137\/S0363012901399866"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB28","doi-asserted-by":"crossref","unstructured":"Hinrichsen, D., & Pritchard, A. J. (1988). New robustness results for linear systems under real perturbations. In Proceedings of the 27th IEEE Conference on Decision and Control, Austin, Texas (pp. 1375\u20131378).","DOI":"10.1109\/CDC.1988.194551"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB29","unstructured":"Hjalmarsson, H. (1994). Aspects on incomplete modeling in system identification, Ph.D. dissertation. Technical report, Department of Electrical Engineering. Link\u00f6ping University, Sweden."},{"key":"10.1016\/S0005-1098(02)00234-0_BIB30","doi-asserted-by":"crossref","first-page":"1004","DOI":"10.1109\/9.148358","article-title":"Estimating model variance in the case of undermodeling","volume":"37","author":"Hjalmarsson","year":"1992","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB31","doi-asserted-by":"crossref","unstructured":"Kosut, R. L. (1995). Uncertainty model unfalsification: A system identification paradigm compatible with robust control design. In Proceedings of the 34th IEEE Conference on Decision and Control, New Orleans, LA.","DOI":"10.1109\/CDC.1995.479126"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB32","unstructured":"Ljung, L. (1997). Identification, model validation and control. In 36th IEEE conference on decision and control, plenary lecture."},{"key":"10.1016\/S0005-1098(02)00234-0_BIB33","unstructured":"Ljung, L. (1998). Identification for control\u2014what is there to learn? In Workshop on learning, control and hybrid systems, Bangalore, India."},{"key":"10.1016\/S0005-1098(02)00234-0_BIB34","series-title":"System identification: Theory for the user","author":"Ljung","year":"1999"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB35","doi-asserted-by":"crossref","unstructured":"Ljung, L. (2000). Model error modeling and control design. In CD-Rom Proceedings of IFAC symposium on system identification, paper WeAM1-3, Santa Barbara, CA.","DOI":"10.1016\/S1474-6670(17)39722-7"},{"issue":"5","key":"10.1016\/S0005-1098(02)00234-0_BIB36","doi-asserted-by":"crossref","first-page":"907","DOI":"10.1016\/S0005-1098(98)00223-4","article-title":"On robustness in system identification","volume":"35","author":"M\u00e4kil\u00e4","year":"1999","journal-title":"Automatica"},{"issue":"12","key":"10.1016\/S0005-1098(02)00234-0_BIB37","doi-asserted-by":"crossref","first-page":"1799","DOI":"10.1016\/0005-1098(95)00106-3","article-title":"Worst-case control-relevant identification","volume":"31","author":"M\u00e4kil\u00e4","year":"1995","journal-title":"Automatica"},{"issue":"1","key":"10.1016\/S0005-1098(02)00234-0_BIB38","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/0005-1098(93)90175-S","article-title":"The complex structured singular value","volume":"29","author":"Packard","year":"1993","journal-title":"Automatica"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB39","doi-asserted-by":"crossref","first-page":"951","DOI":"10.1109\/9.284871","article-title":"A time-domain approach to model validation","volume":"39","author":"Poolla","year":"1994","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB40","doi-asserted-by":"crossref","unstructured":"Rantzer, A. (1992). Convex robustness specifications for real parametric uncertainty in linear systems. In Proceedings of the American control conference (pp. 583\u2013585).","DOI":"10.23919\/ACC.1992.4792133"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB41","doi-asserted-by":"crossref","unstructured":"Reinelt, W., Garulli, A., Ljung, L., Braslavsky, J. H., & Vicino, A. (1999). Model error concepts in identification for control. In Proceedings of the 38th IEEE conference on decision and control, Phoenix, AZ (pp. 1488\u20131493).","DOI":"10.1109\/CDC.1999.830197"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB42","doi-asserted-by":"crossref","unstructured":"Smith, R. S., & Dahleh, M. (1994). The modeling of uncertainty in control systems. Lecture Notes in Control and Information Sciences, Vol. 192. Berlin: Springer.","DOI":"10.1007\/BFb0036239"},{"issue":"12","key":"10.1016\/S0005-1098(02)00234-0_BIB43","doi-asserted-by":"crossref","first-page":"1620","DOI":"10.1109\/9.650013","article-title":"Identification in the presence of classes of unmodeled dynamics and noise","volume":"42","author":"Venkatesh","year":"1997","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB44","doi-asserted-by":"crossref","first-page":"1371","DOI":"10.1109\/9.237648","article-title":"Frequency domain uncertainty and the graph topology","volume":"AC-38","author":"Vinnicombe","year":"1993","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB45","doi-asserted-by":"crossref","unstructured":"Vinnicombe, G. (2000). Uncertainty and feedback\u2014H\u221eloop-shaping and the\u03bd-gap metric. London: Imperial College Press.","DOI":"10.1142\/p140"},{"issue":"2","key":"10.1016\/S0005-1098(02)00234-0_BIB46","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1109\/TAC.1981.1102603","article-title":"Feedback and optimal sensitivity","volume":"AC-26","author":"Zames","year":"1981","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB47","series-title":"Essentials of robust control","author":"Zhou","year":"1998"},{"key":"10.1016\/S0005-1098(02)00234-0_BIB48","series-title":"Robust and optimal control","author":"Zhou","year":"1995"}],"container-title":["Automatica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109802002340?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0005109802002340?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,3,11]],"date-time":"2020-03-11T22:25:15Z","timestamp":1583965515000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0005109802002340"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,3]]},"references-count":48,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2003,3]]}},"alternative-id":["S0005109802002340"],"URL":"https:\/\/doi.org\/10.1016\/s0005-1098(02)00234-0","relation":{},"ISSN":["0005-1098"],"issn-type":[{"value":"0005-1098","type":"print"}],"subject":[],"published":{"date-parts":[[2003,3]]}}}