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Estimators for Uncertain Dynamic Systems

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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 221/5 ( reviews)

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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. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: When solving the control and design problems in aerospace and naval engi neering, energetics, economics, biology, etc., we need to know the state of investigated dynamic processes. The presence of inherent uncertainties in the description of these processes and of noises in measurement devices leads to the necessity to construct the estimators for corresponding dynamic systems. The estimators recover the required information about system state from mea surement data. An attempt to solve the estimation problems in an optimal way results in the formulation of different variational problems. The type and complexity of these variational problems depend on the process model, the model of uncertainties, and the estimation performance criterion. A solution of variational problem determines an optimal estimator. Howerever, there exist at least two reasons why we use nonoptimal esti mators. The first reason is that the numerical algorithms for solving the corresponding variational problems can be very difficult for numerical imple mentation. For example, the dimension of these algorithms can be very high.

Optimal Estimation of Dynamic Systems

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Release : 2004-04-27
Genre : Mathematics
Kind : eBook
Book Rating : 273/5 ( reviews)

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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. This book was released on 2004-04-27. 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 received are used to determine highly sensitive processes such as the flight path of a plane, the orbit of a space vehicle, or the control of a machine. The authors use dynamic models from mechanical and aerospace engineering to provide immediate results of estimation concepts with a minimal reliance on mathematical skills. The book documents the development of the central concepts and methods of optimal estimation theory in a manner accessible to engineering students, applied mathematicians, and practicing engineers. It includes rigorous theoretial derivations and a significant amount of qualitiative discussion and judgements. It also presents prototype algorithms, giving detail and discussion to stimulate development of efficient computer programs and intelligent use of them. This book illustrates the application of optimal estimation methods to problems with varying degrees of analytical and numercial difficulty. It compares various approaches to help develop a feel for the absolute and relative utility of different methods, and provides many applications in the fields of aerospace, mechanical, and electrical engineering.

Uncertain Dynamic Systems

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Author :
Release : 1973
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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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. This book was released on 1973. Available in PDF, EPUB and Kindle. Book excerpt:

Parameter Estimates in Uncertain Models of Dynamic Systems

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Release : 1976
Genre :
Kind : eBook
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Book Synopsis Parameter Estimates in Uncertain Models of Dynamic Systems by : D. J. Leal

Download or read book Parameter Estimates in Uncertain Models of Dynamic Systems written by D. J. Leal. This book was released on 1976. Available in PDF, EPUB and Kindle. Book excerpt:

Reliability Evaluation of Dynamic Systems Excited in Time Domain

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Release : 2023-04-18
Genre : Technology & Engineering
Kind : eBook
Book Rating : 642/5 ( reviews)

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Book Synopsis Reliability Evaluation of Dynamic Systems Excited in Time Domain by : Achintya Haldar

Download or read book Reliability Evaluation of Dynamic Systems Excited in Time Domain written by Achintya Haldar. This book was released on 2023-04-18. Available in PDF, EPUB and Kindle. Book excerpt: RELIABILITY EVALUATION OF DYNAMIC SYSTEMS EXCITED IN TIME DOMAIN – REDSET Multi-disciplinary approach to structural reliability analysis for dynamic loadings offering a practical alternative to the random vibration theory and simulation Reliability Evaluation of Dynamic Systems Excited in Time Domain – REDSET is a multidisciplinary concept that enables readers to estimate the underlying risk that could not be solved in the past. The major hurdle was that the required limit state functions (LSFs) are implicit in nature and the lack of progress in the reliability evaluation methods for this class of problems. The most sophisticated deterministic analysis requires that the dynamic loadings must be applied in the time domain. To satisfy these requirements, REDSET is developed. Different types and forms of dynamic loadings including seismic, wind-induced wave, and thermomechanical loading in the form of heating and cooling of solder balls used in computer chips are considered to validate REDSET. Time domain representations and the uncertainty quantification procedures including the use of multiple time histories are proposed and demonstrated for all these dynamic loadings. Both onshore and offshore structures are used for validation. The potential of REDSET is demonstrated for implementing the Performance Based Seismic Design (PBSD) concept now under development in the United States. For wider multidisciplinary applications, structures are represented by finite elements to capture different types of nonlinearity more appropriately. Any computer program capable of conducting nonlinear time domain dynamic analysis can be used, and the underlying risk can be estimated with the help of several dozens or hundreds of deterministic finite element analyses, providing an alternative to the simulation approach. To aid comprehension of REDSET, numerous illustrative examples and solution strategies are presented in each chapter. Written by award-winning thought leaders from academia and professional practice, the following sample topics are included: Fundamentals of reliability assessment including set theory, modeling of uncertainty, the risk-based engineering design concept, and the evolution of reliability assessment methods Implicit performance or limit state functions are expressed explicitly by the extensively modified response surface method with several new experimental designs Uncertainty quantification procedures with multiple time histories for different dynamic loadings, illustrated with examples The underlying risk can be estimated using any computer program representing structures by finite elements with only few deterministic analyses REDSET is demonstrated to be an alternative to the classical random vibration concept and the basic simulation procedure for risk estimation purposes REDSET changes the current engineering design paradigm. Instead of conducting one deterministic analysis, a design can be made more dynamic load tolerant, resilient, and sustainable with the help of a few additional deterministic analyses This book describing REDSET is expected to complement two other books published by Wiley and authored by Haldar and Mahadevan: Probability, Reliability and Statistical Methods in Engineering Design and Reliability Assessment Using Stochastic Finite Element Analysis. The book is perfect to use as a supplementary resource for upper-level undergraduate and graduate level courses on reliability and risk-based design.

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