Parameter Estimation for Nonlinear Dynamic Systems with Significant Uncertainties

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ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.:/5 (115 download)

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Book Synopsis Parameter Estimation for Nonlinear Dynamic Systems with Significant Uncertainties by : Wei Dai

Download or read book Parameter Estimation for Nonlinear Dynamic Systems with Significant Uncertainties written by Wei Dai and published by . This book was released on 2014 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parameter Estimation in Nonlinear Dynamic Systems

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Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Parameter Estimation in Nonlinear Dynamic Systems by : W. J. H. Stortelder

Download or read book Parameter Estimation in Nonlinear Dynamic Systems written by W. J. H. Stortelder and published by . This book was released on 1998 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Uncertainty in Parameter Estimation for Nonlinear Dynamical Models

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Publisher :
ISBN 13 : 9783769695335
Total Pages : 113 pages
Book Rating : 4.6/5 (953 download)

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Book Synopsis Uncertainty in Parameter Estimation for Nonlinear Dynamical Models by : Christoph Droste

Download or read book Uncertainty in Parameter Estimation for Nonlinear Dynamical Models written by Christoph Droste and published by . This book was released on 1998 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamic Systems Models

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Publisher : Springer
ISBN 13 : 3319040367
Total Pages : 219 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Dynamic Systems Models by : Josif A. Boguslavskiy

Download or read book Dynamic Systems Models written by Josif A. Boguslavskiy and published by Springer. This book was released on 2016-03-22 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is an exposition of a novel method for solving inverse problems, a method of parameter estimation for time series data collected from simulations of real experiments. These time series might be generated by measuring the dynamics of aircraft in flight, by the function of a hidden Markov model used in bioinformatics or speech recognition or when analyzing the dynamics of asset pricing provided by the nonlinear models of financial mathematics. Dynamic Systems Models demonstrates the use of algorithms based on polynomial approximation which have weaker requirements than already-popular iterative methods. Specifically, they do not require a first approximation of a root vector and they allow non-differentiable elements in the vector functions being approximated. The text covers all the points necessary for the understanding and use of polynomial approximation from the mathematical fundamentals, through algorithm development to the application of the method in, for instance, aeroplane flight dynamics or biological sequence analysis. The technical material is illustrated by the use of worked examples and methods for training the algorithms are included. Dynamic Systems Models provides researchers in aerospatial engineering, bioinformatics and financial mathematics (as well as computer scientists interested in any of these fields) with a reliable and effective numerical method for nonlinear estimation and solving boundary problems when carrying out control design. It will also be of interest to academic researchers studying inverse problems and their solution.

Optimal Estimation of Dynamic Systems

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Publisher : CRC Press
ISBN 13 : 0203509129
Total Pages : 606 pages
Book Rating : 4.2/5 (35 download)

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Book Synopsis Optimal Estimation of Dynamic Systems by : John L. Crassidis

Download or read book Optimal Estimation of Dynamic Systems written by John L. Crassidis and published by CRC Press. This book was released on 2004-04-27 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most newcomers to the field of linear stochastic estimation go through a difficult process in understanding and applying the theory.This book minimizes the process while introducing the fundamentals of optimal estimation. Optimal Estimation of Dynamic Systems explores topics that are important in the field of control where the signals receiv

State Estimation for Dynamic Systems

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Publisher : CRC Press
ISBN 13 : 9780849344589
Total Pages : 322 pages
Book Rating : 4.3/5 (445 download)

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Book Synopsis State Estimation for Dynamic Systems by : Felix L. Chernousko

Download or read book State Estimation for Dynamic Systems written by Felix L. Chernousko and published by CRC Press. This book was released on 1993-11-09 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: State Estimation for Dynamic Systems presents the state of the art in this field and discusses a new method of state estimation. The method makes it possible to obtain optimal two-sided ellipsoidal bounds for reachable sets of linear and nonlinear control systems with discrete and continuous time. The practical stability of dynamic systems subjected to disturbances can be analyzed, and two-sided estimates in optimal control and differential games can be obtained. The method described in the book also permits guaranteed state estimation (filtering) for dynamic systems in the presence of external disturbances and observation errors. Numerical algorithms for state estimation and optimal control, as well as a number of applications and examples, are presented. The book will be an excellent reference for researchers and engineers working in applied mathematics, control theory, and system analysis. It will also appeal to pure and applied mathematicians, control engineers, and computer programmers.

Parameter estimation in nonlinear dynamical systems

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Publisher :
ISBN 13 : 9789074795913
Total Pages : 175 pages
Book Rating : 4.7/5 (959 download)

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Book Synopsis Parameter estimation in nonlinear dynamical systems by : Walter Johannes Henricus Stortelder

Download or read book Parameter estimation in nonlinear dynamical systems written by Walter Johannes Henricus Stortelder and published by . This book was released on 1998 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear system identification. 2. Nonlinear system structure identification

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792358572
Total Pages : 428 pages
Book Rating : 4.3/5 (585 download)

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Book Synopsis Nonlinear system identification. 2. Nonlinear system structure identification by : Robert Haber

Download or read book Nonlinear system identification. 2. Nonlinear system structure identification written by Robert Haber and published by Springer Science & Business Media. This book was released on 1999 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second part of a two-volume handbook presenting a comprehensive overview of nonlinear dynamic system identification. The books include many aspects of nonlinear processes such as modelling, parameter estimation, structure search, nonlinearity and model validity tests.

Parameter Estimation of Nonlinear Dynamic Systems

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ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.:/5 (78 download)

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Book Synopsis Parameter Estimation of Nonlinear Dynamic Systems by : Matej Gašperin

Download or read book Parameter Estimation of Nonlinear Dynamic Systems written by Matej Gašperin and published by . This book was released on 2011 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Grid-based Nonlinear Estimation and Its Applications

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Publisher : CRC Press
ISBN 13 : 1351757415
Total Pages : 252 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis Grid-based Nonlinear Estimation and Its Applications by : Bin Jia

Download or read book Grid-based Nonlinear Estimation and Its Applications written by Bin Jia and published by CRC Press. This book was released on 2019-04-25 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grid-based Nonlinear Estimation and its Applications presents new Bayesian nonlinear estimation techniques developed in the last two decades. Grid-based estimation techniques are based on efficient and precise numerical integration rules to improve performance of the traditional Kalman filtering based estimation for nonlinear and uncertainty dynamic systems. The unscented Kalman filter, Gauss-Hermite quadrature filter, cubature Kalman filter, sparse-grid quadrature filter, and many other numerical grid-based filtering techniques have been introduced and compared in this book. Theoretical analysis and numerical simulations are provided to show the relationships and distinct features of different estimation techniques. To assist the exposition of the filtering concept, preliminary mathematical review is provided. In addition, rather than merely considering the single sensor estimation, multiple sensor estimation, including the centralized and decentralized estimation, is included. Different decentralized estimation strategies, including consensus, diffusion, and covariance intersection, are investigated. Diverse engineering applications, such as uncertainty propagation, target tracking, guidance, navigation, and control, are presented to illustrate the performance of different grid-based estimation techniques.

Modelling and Parameter Estimation of Dynamic Systems

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Publisher : IET
ISBN 13 : 0863413633
Total Pages : 405 pages
Book Rating : 4.8/5 (634 download)

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Book Synopsis Modelling and Parameter Estimation of Dynamic Systems by : J.R. Raol

Download or read book Modelling and Parameter Estimation of Dynamic Systems written by J.R. Raol and published by IET. This book was released on 2004-08-13 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed examination of the estimation techniques and modeling problems. The theory is furnished with several illustrations and computer programs to promote better understanding of system modeling and parameter estimation.

Deterministic Sampling for Nonlinear Dynamic State Estimation

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Publisher : KIT Scientific Publishing
ISBN 13 : 3731504731
Total Pages : 198 pages
Book Rating : 4.7/5 (315 download)

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Book Synopsis Deterministic Sampling for Nonlinear Dynamic State Estimation by : Gilitschenski, Igor

Download or read book Deterministic Sampling for Nonlinear Dynamic State Estimation written by Gilitschenski, Igor and published by KIT Scientific Publishing. This book was released on 2016-04-19 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this work is improving existing and suggesting novel filtering algorithms for nonlinear dynamic state estimation. Nonlinearity is considered in two ways: First, propagation is improved by proposing novel methods for approximating continuous probability distributions by discrete distributions defined on the same continuous domain. Second, nonlinear underlying domains are considered by proposing novel filters that inherently take the underlying geometry of these domains into account.

Uncertain Dynamic Systems

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Publisher : Prentice Hall
ISBN 13 :
Total Pages : 588 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Uncertain Dynamic Systems by : Fred C. Schweppe

Download or read book Uncertain Dynamic Systems written by Fred C. Schweppe and published by Prentice Hall. This book was released on 1973 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Estimators for Uncertain Dynamic Systems

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Publisher :
ISBN 13 : 9789401153232
Total Pages : 436 pages
Book Rating : 4.1/5 (532 download)

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Book Synopsis Estimators for Uncertain Dynamic Systems by : A. I. Matasov

Download or read book Estimators for Uncertain Dynamic Systems written by A. I. Matasov and published by . This book was released on 1999-01-31 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Measurement Data Modeling and Parameter Estimation

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Publisher : CRC Press
ISBN 13 : 1439853797
Total Pages : 540 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Measurement Data Modeling and Parameter Estimation by : Zhengming Wang

Download or read book Measurement Data Modeling and Parameter Estimation written by Zhengming Wang and published by CRC Press. This book was released on 2016-04-19 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the theories, methods, and application techniques of the measurement data mathematical modeling and parameter estimation. It seeks to build a bridge between mathematical theory and engineering practice in the measurement data processing field so theoretical researchers and technical engineers can communicate. It is organized with abundant materials, such as illustrations, tables, examples, and exercises. The authors create examples to apply mathematical theory innovatively to measurement and control engineering. Not only does this reference provide theoretical knowledge, it provides information on first hand experiences.

Parameter Estimation in Nonlinear Continuous-time Dynamic Models with Modelling Errors and Process Disturbances

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Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.:/5 (263 download)

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Book Synopsis Parameter Estimation in Nonlinear Continuous-time Dynamic Models with Modelling Errors and Process Disturbances by : M. Saeed Varziri

Download or read book Parameter Estimation in Nonlinear Continuous-time Dynamic Models with Modelling Errors and Process Disturbances written by M. Saeed Varziri and published by . This book was released on 2008 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model-based control and process optimization technologies are becoming more commonly used by chemical engineers. These algorithms rely on fundamental or empirical models that are frequently described by systems of differential equations with unknown parameters. It is, therefore, very important for modellers of chemical engineering processes to have access to reliable and efficient tools for parameter estimation in dynamic models. The purpose of this thesis is to develop an efficient and easy-to-use parameter estimation algorithm that can address difficulties that frequently arise when estimating parameters in nonlinear continuous-time dynamic models of industrial processes. The proposed algorithm has desirable numerical stability properties that stem from using piece-wise polynomial discretization schemes to transform the model differential equations into a set of algebraic equations. Consequently, parameters can be estimated by solving a nonlinear programming problem without requiring repeated numerical integration of the differential equations. Possible modelling discrepancies and process disturbances are accounted for in the proposed algorithm, and estimates of the process disturbance intensities can be obtained along with estimates of model parameters and states. Theoretical approximate confidence interval expressions for the parameters are developed. Through a practical two-phase nylon reactor example, as well as several simulation studies using stirred tank reactors, it is shown that the proposed parameter estimation algorithm can address difficulties such as: different types of measured responses with different levels of measurement noise, measurements taken at irregularly-spaced sampling times, unknown initial conditions for some state variables, unmeasured state variables, and unknown disturbances that enter the process and influence its future behaviour.

Parameter Estimation Techniques for Nonlinear Dynamic Models with Limited Data, Process Disturbances and Modeling Errors

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Publisher :
ISBN 13 :
Total Pages : 458 pages
Book Rating : 4.:/5 (871 download)

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Book Synopsis Parameter Estimation Techniques for Nonlinear Dynamic Models with Limited Data, Process Disturbances and Modeling Errors by : Hadiseh Karimi

Download or read book Parameter Estimation Techniques for Nonlinear Dynamic Models with Limited Data, Process Disturbances and Modeling Errors written by Hadiseh Karimi and published by . This book was released on 2013 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 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.