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Optimal Input Design For Parameter Estimation Using Parametric Sensitivity Dynamics
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Book Synopsis Optimal Input Design for Parameter Estimation Using Parametric Sensitivity Dynamics by : Hassan Akbari Chianeh.
Download or read book Optimal Input Design for Parameter Estimation Using Parametric Sensitivity Dynamics written by Hassan Akbari Chianeh. and published by . This book was released on 2009 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Input Signals for Parameter Estimation by : Ewaryst Rafajłowicz
Download or read book Optimal Input Signals for Parameter Estimation written by Ewaryst Rafajłowicz and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-03-07 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide methods and algorithms for the optimization of input signals so as to estimate parameters in systems described by PDE’s as accurate as possible under given constraints. The optimality conditions have their background in the optimal experiment design theory for regression functions and in simple but useful results on the dependence of eigenvalues of partial differential operators on their parameters. Examples are provided that reveal sometimes intriguing geometry of spatiotemporal input signals and responses to them. An introduction to optimal experimental design for parameter estimation of regression functions is provided. The emphasis is on functions having a tensor product (Kronecker) structure that is compatible with eigenfunctions of many partial differential operators. New optimality conditions in the time domain and computational algorithms are derived for D-optimal input signals when parameters of ordinary differential equations are estimated. They are used as building blocks for constructing D-optimal spatio-temporal inputs for systems described by linear partial differential equations of the parabolic and hyperbolic types with constant parameters. Optimality conditions for spatially distributed signals are also obtained for equations of elliptic type in those cases where their eigenfunctions do not depend on unknown constant parameters. These conditions and the resulting algorithms are interesting in their own right and, moreover, they are second building blocks for optimality of spatio-temporal signals. A discussion of the generalizability and possible applications of the results obtained is presented.
Book Synopsis Optimal Input Experiment Design for Parameter Estimation by :
Download or read book Optimal Input Experiment Design for Parameter Estimation written by and published by . This book was released on 1974 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis D-optimal Input Design for Parameter Estimation of Linear and Distributed Parameter Systems by : Zahid H. Qureshi
Download or read book D-optimal Input Design for Parameter Estimation of Linear and Distributed Parameter Systems written by Zahid H. Qureshi and published by . This book was released on 1982 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Uncertainty in Mechanical Engineering by : Peter F. Pelz
Download or read book Uncertainty in Mechanical Engineering written by Peter F. Pelz and published by Springer Nature. This book was released on 2021-05-26 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book reports on methods and technologies to describe, evaluate and control uncertainty in mechanical engineering applications. It brings together contributions by engineers, mathematicians and legal experts, offering a multidisciplinary perspective on the main issues affecting uncertainty throughout the complete system lifetime, which includes process and product planning, development, production and usage. The book is based on the proceedings of the 4th International Conference on Uncertainty in Mechanical Engineering (ICUME 2021), organized by the Collaborative Research Center (CRC) 805 of the TU Darmstadt, and held online on June 7–8, 2021. All in all, it offers a timely resource for researchers, graduate students and practitioners in the field of mechanical engineering, production engineering and engineering optimization.
Book Synopsis Optimal Input Signals for Parameter Estimation in Dynamic Systems-Survey and New Results by : R. K. Mehra
Download or read book Optimal Input Signals for Parameter Estimation in Dynamic Systems-Survey and New Results written by R. K. Mehra and published by . This book was released on 1974 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper surveys the field of optimal input design for parameter estimation as it has developed over the last two decades. Many of the developments covered are only recent and have not appeared in the open literature elsewhere. After a brief introduction, the paper discusses the historical background of the subject both in the engineering and in the statistical literature. The concepts of optimality and input design are then discussed followed by a derivation of the Fisher Information Matrix for multiinput multioutput systems with process noise. The design procedures are divided into the categories of Time-Domain methods and Frequency-Domain methods with the former being more general but also more time-consuming (computationally). (Modified author abstract).
Book Synopsis Model Parametric Sensitivity Analysis and Nonlinear Parameter Estimation by : Malamas Caracotsios
Download or read book Model Parametric Sensitivity Analysis and Nonlinear Parameter Estimation written by Malamas Caracotsios and published by . This book was released on 1986 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic Model Development: Methods, Theory and Applications by : S. Macchietto
Download or read book Dynamic Model Development: Methods, Theory and Applications written by S. Macchietto and published by Elsevier. This book was released on 2003-08-04 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed mathematical models are increasingly being used by companies to gain competitive advantage through such applications as model-based process design, control and optimization. Thus, building various types of high quality models for processing systems has become a key activity in Process Engineering. This activity involves the use of several methods and techniques including model solution techniques, nonlinear systems identification, model verification and validation, and optimal design of experiments just to name a few. In turn, several issues and open-ended problems arise within these methods, including, for instance, use of higher-order information in establishing parameter estimates, establishing metrics for model credibility, and extending experiment design to the dynamic situation. The material covered in this book is aimed at allowing easier development and full use of detailed and high fidelity models. Potential applications of these techniques in all engineering disciplines are abundant, including applications in chemical kinetics and reaction mechanism elucidation, polymer reaction engineering, and physical properties estimation. On the academic side, the book will serve to generate research ideas. - Contains wide coverage of statistical methods applied to process modelling - Serves as a recent compilation of dynamic model building tools - Presents several examples of applying advanced statistical and modelling methods to real process systems problems
Book Synopsis Optimal Input Design for Estimation of Parameters in a Substrate Model by : S. L. Speetjens
Download or read book Optimal Input Design for Estimation of Parameters in a Substrate Model written by S. L. Speetjens and published by . This book was released on 2003 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Input Design for Parameter Identification of Dynamic Systems by : Subrahmanyam Ramachandran
Download or read book Optimal Input Design for Parameter Identification of Dynamic Systems written by Subrahmanyam Ramachandran and published by . This book was released on 1976 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Design of Dynamic Experiments for Improved Parameter Identification by : Larry Edwin Murray
Download or read book Optimal Design of Dynamic Experiments for Improved Parameter Identification written by Larry Edwin Murray and published by . This book was released on 1982 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Engineering Fluid Dynamics by : C. Kleinstreuer
Download or read book Engineering Fluid Dynamics written by C. Kleinstreuer and published by Cambridge University Press. This book was released on 1997-02-28 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical approach to the study of fluid mechanics at the graduate level.
Book Synopsis Optimal State Estimation for Process Monitoring, Fault Diagnosis and Control by : Ch. Venkateswarlu
Download or read book Optimal State Estimation for Process Monitoring, Fault Diagnosis and Control written by Ch. Venkateswarlu and published by Elsevier. This book was released on 2022-01-31 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal State Estimation for Process Monitoring, Fault Diagnosis and Control presents various mechanistic model based state estimators and data-driven model based state estimators with a special emphasis on their development and applications to process monitoring, fault diagnosis and control. The design and analysis of different state estimators are highlighted with a number of applications and case studies concerning to various real chemical and biochemical processes. The book starts with the introduction of basic concepts, extending to classical methods and successively leading to advances in this field. Design and implementation of various classical and advanced state estimation methods to solve a wide variety of problems makes this book immensely useful for the audience working in different disciplines in academics, research and industry in areas concerning to process monitoring, fault diagnosis, control and related disciplines. - Describes various classical and advanced versions of mechanistic model based state estimation algorithms - Describes various data-driven model based state estimation techniques - Highlights a number of real applications of mechanistic model based and data-driven model based state estimators/soft sensors - Beneficial to those associated with process monitoring, fault diagnosis, online optimization, control and related areas
Book Synopsis Parametric Sensitivity Analysis of Stochastic Reaction Networks by : Ting Wang
Download or read book Parametric Sensitivity Analysis of Stochastic Reaction Networks written by Ting Wang and published by . This book was released on 2015 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reaction networks are systems consisting of several species interacting with each other through a set of predefined reaction channels.Models of real world reaction systems often contain several parameters which play a significant role in determining the system's dynamics. Therefore, parametric sensitivity analysis is an essential tool for the modeling and parameter estimation process. Due to the complex and random nature of the reaction systems, among all approaches for sensitivity analysis, Monte Carlo simulation is the most suitable for the parametric sensitivity analysis because its complexity does not grow dramatically as the problem dimension grows. Most Monte Carlo methods for sensitivity analysis can be classified into three categories, the pathwise derivative (PD), the finite difference (FD) and the Girsanov transformation (GT). Comparisons of these methods for specific examples have been done by many researchers, which showed that when applicable, the PD method and FD method tend to outperform the GT method. However, to the best of our knowledge, no existing literature studies these observations from a theoretical point of view. In this thesis, we provide a theoretical justification for these observations in terms of system size asymptotic analysis. We also examine our result by testing several numerical examples. Other than the analysis for the efficiency of these Monte Carlo estimators, we also provide some sufficient conditions which guarantee the validity of the GT method. Finally, for an ergodic system, there exists a steady state distribution and hence it is reasonable for us to consider the steady state sensitivity estimation problem. We establish an asymptotic correlation result and use this result to justify the ensemble-averaged correlation function method introduced in the literature.
Book Synopsis 10th International Symposium on Process Systems Engineering by : Rita Maria de Brito Alves
Download or read book 10th International Symposium on Process Systems Engineering written by Rita Maria de Brito Alves and published by Elsevier. This book was released on 2009 with total page 1229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 10th International Symposium on Process Systems Engineering, PSE'09, will be held in Salvador-Bahia, Brazil on August 16-20, 2009. The special focus of PSE 2009 is Sustainability, Energy and Engineering. PSE 2009 is the tenth in the triennial series of international symposia on process systems engineering initiated in 1982. The meeting is brings together the worldwide PSE community of researchers and practitioners who are involved in the creation and application of computing-based methodologies for planning, design, operation, control and maintenance of chemical and petrochemical process industries. PSE'09 will look at how the PSE methods and tools can support sustainable resource systems and emerging technologies in the areas of green engineering: environmentally conscious design of industrial processes. PSE methods and tools support: - sustainable resource systems - emerging technologies in the areas of green engineering - environmentally conscious design of industrial processes
Download or read book Optimal Design written by S. Silvey and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prior to the 1970's a substantial literature had accumulated on the theory of optimal design, particularly of optimal linear regression design. To a certain extent the study of the subject had been piecemeal, different criteria of optimality having been studied separately. Also to a certain extent the topic was regarded as being largely of theoretical interest and as having little value for the practising statistician. However during this decade two significant developments occurred. It was observed that the various different optimality criteria had several mathematical properties in common; and general algorithms for constructing optimal design measures were developed. From the first of these there emerged a general theory of remarkable simplicity and the second at least raised the possibility that the theory would have more practical value. With respect to the second point there does remain a limiting factor as far as designs that are optimal for parameter estimation are concerned, and this is that the theory assumes that the model be collected is known a priori. This of course underlying data to is seldom the case in practice and it often happens that designs which are optimal for parameter estimation allow no possibility of model validation. For this reason the theory of design for parameter estimation may well have to be combined with a theory of model validation before its practical potential is fully realized. Nevertheless discussion in this monograph is limited to the theory of design optimal for parameter estimation.
Book Synopsis An Interactive Optimization Component for Solving Parameter Estimation and Policy Decision Problems in Large Dynamic Models by : Marcus Robert Buchner
Download or read book An Interactive Optimization Component for Solving Parameter Estimation and Policy Decision Problems in Large Dynamic Models written by Marcus Robert Buchner and published by . This book was released on 1975 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
