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dc.contributor.authorKarimi, Hadisehen
dc.date2013-12-23 00:19:16.877
dc.date2013-12-23 15:12:35.738
dc.date.accessioned2013-12-23T21:10:43Z
dc.date.available2013-12-23T21:10:43Z
dc.date.issued2013-12-23
dc.identifier.urihttp://hdl.handle.net/1974/8534
dc.descriptionThesis (Ph.D, Chemical Engineering) -- Queen's University, 2013-12-23 15:12:35.738en
dc.description.abstractIn this thesis appropriate statistical methods to overcome two types of problems that occur during parameter estimation in chemical engineering systems are studied. The first problem is having too many parameters to estimate from limited available data, assuming that the model structure is correct, while the second problem involves estimating unmeasured disturbances, assuming that enough data are available for parameter estimation. In the first part of this thesis, a model is developed to predict rates of undesirable reactions during the finishing stage of nylon 66 production. This model has too many parameters to estimate (56 unknown parameters) and not having enough data to reliably estimating all of the parameters. Statistical techniques are used to determine that 43 of 56 parameters should be estimated. The proposed model matches the data well. In the second part of this thesis, techniques are proposed for estimating parameters in Stochastic Differential Equations (SDEs). SDEs are fundamental dynamic models that take into account process disturbances and model mismatch. Three new approximate maximum likelihood methods are developed for estimating parameters in SDE models. First, an Approximate Expectation Maximization (AEM) algorithm is developed for estimating model parameters and process disturbance intensities when measurement noise variance is known. Then, a Fully-Laplace Approximation Expectation Maximization (FLAEM) algorithm is proposed for simultaneous estimation of model parameters, process disturbance intensities and measurement noise variances in nonlinear SDEs. Finally, a Laplace Approximation Maximum Likelihood Estimation (LAMLE) algorithm is developed for estimating measurement noise variances along with model parameters and disturbance intensities in nonlinear SDEs. The effectiveness of the proposed algorithms is compared with a maximum-likelihood based method. For the CSTR examples studied, the proposed algorithms provide more accurate estimates for the parameters. Additionally, it is shown that the performance of LAMLE is superior to the performance of FLAEM. SDE models and associated parameter estimates obtained using the proposed techniques will help engineers who implement on-line state estimation and process monitoring schemes.en
dc.language.isoengen
dc.relation.ispartofseriesCanadian thesesen
dc.rightsThis publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.en
dc.subjectMaximum Likelihooden
dc.subjectParameter Estimationen
dc.subjectExpectation Maximizationen
dc.subjectChemical Engineeringen
dc.subjectModeling Erroren
dc.subjectStochastic Disturbancesen
dc.titleParameter Estimation Techniques for Nonlinear Dynamic Models with Limited Data, Process Disturbances and Modeling Errorsen
dc.typethesisen
dc.description.degreePhDen
dc.contributor.supervisorMcAuley, Kimberly B.en
dc.contributor.departmentChemical Engineeringen
dc.degree.grantorQueen's University at Kingstonen


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