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Frequency Domain Synthesis Of Optimal Inputs For Linear System Parameter Estimation
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Book Synopsis Frequency-Domain Synthesis of Optimal Inputs for Linear System Parameter Estimation by : R. K. Mehra
Download or read book Frequency-Domain Synthesis of Optimal Inputs for Linear System Parameter Estimation written by R. K. Mehra and published by . This book was released on 1973 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper formulates the problem of estimating parameters in linear multi-input multi-output dynamic systems as a regression problem in frequency domain. An expression for the information matrix is derived and its properties are studied. A frequency domain condition on the input for the nonsingularity of the information matrix is obtained. It is shown that a deterministic input with a point spectrum can always be found for single input multi-output systems such that it has the same information matrix as a mixed input (stochastic and deterministic) whose spectrum contains both continuous and discrete parts. A number of different criteria used in the design of regression experiments are stated and their relevance to input design is examined. (Modified author abstract).
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.
Download or read book NASA Reference Publication written by and published by . This book was released on 1977 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Control, Identification, and Input Optimization by : Robert Kalaba
Download or read book Control, Identification, and Input Optimization written by Robert Kalaba and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained text devoted to the numerical determination of optimal inputs for system identification. It presents the current state of optimal inputs with extensive background material on optimization and system identification. The field of optimal inputs has been an area of considerable research recently with important advances by R. Mehra, G. c. Goodwin, M. Aoki, and N. E. Nahi, to name just a few eminent in vestigators. The authors' interest in optimal inputs first developed when F. E. Yates, an eminent physiologist, expressed the need for optimal or preferred inputs to estimate physiological parameters. The text assumes no previous knowledge of optimal control theory, numerical methods for solving two-point boundary-value problems, or system identification. As such it should be of interest to students as well as researchers in control engineering, computer science, biomedical en gineering, operations research, and economics. In addition the sections on beam theory should be of special interest to mechanical and civil en gineers and the sections on eigenvalues should be of interest to numerical analysts. The authors have tried to present a balanced viewpoint; however, primary emphasis is on those methods in which they have had first-hand experience. Their work has been influenced by many authors. Special acknowledgment should go to those listed above as well as R. Bellman, A. Miele, G. A. Bekey, and A. P. Sage. The book can be used for a two-semester course in control theory, system identification, and optimal inputs.
Download or read book NASA Technical Paper written by and published by . This book was released on 1980 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Technical Memorandum written by and published by . This book was released on 1986 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frequency Domain Analysis and Synthesis Techniques for Adaptive Systems by : Li-Chen Fu
Download or read book Frequency Domain Analysis and Synthesis Techniques for Adaptive Systems written by Li-Chen Fu and published by . This book was released on 1987 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computer Aided Design of Control Systems by : M. A. Cuenod
Download or read book Computer Aided Design of Control Systems written by M. A. Cuenod and published by Elsevier. This book was released on 2014-05-19 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Aided Design of Control Systems focuses on the use of computers to analyze and design the control of various processes, as well as the development of program packages with different algorithms for digital computers. The selection first takes a look at the computer aided design of minimal order controllers, including design of interacting and noninteracting dynamic controllers of minimal order and basic algorithm. The book then discusses an accelerated Newton process to solve Riccati equation through matrix sign function; suboptimal direct digital control of a trickle-bed absorption column; and structural design of large systems employing a geometric approach. The text underscores the computer as an aid for the implementation of advanced control algorithms on physical processes and analysis of direct control algorithms and their parallel realization. Topics include hardware influences on the control, process influence, and interactive structure design of direct control systems. The book also takes a look at the optimal control of randomly sampled linear stochastic systems; computer aided design of suboptimal test signals for system identification; and computer aided design of multi-level systems with prescribed structure and control constraints. The selection is a dependable source of data for readers interested in the uses of computers.
Book Synopsis Trends and Progress in System Identification by : Pieter Eykhoff
Download or read book Trends and Progress in System Identification written by Pieter Eykhoff and published by Elsevier. This book was released on 2014-05-20 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trends and Progress in System Identification is a three-part book that focuses on model considerations, identification methods, and experimental conditions involved in system identification. Organized into 10 chapters, this book begins with a discussion of model method in system identification, citing four examples differing on the nature of the models involved, the nature of the fields, and their goals. Subsequent chapters describe the most important aspects of model theory; the ""classical"" methods and time series estimation; application of least squares and related techniques for the estimation of dynamic system parameters; the maximum likelihood and error prediction methods; and the modern development of statistical methods. Non-parametric approaches, identification of nonlinear systems by piecewise approximation, and the minimax identification are then explained. Other chapters explore the Bayesian approach to system identification; choice of input signals; and choice and effect of different feedback configurations in system identification. This book will be useful for control engineers, system scientists, biologists, and members of other disciplines dealing withdynamical relations.
Book Synopsis System Identification Advances and Case Studies by :
Download or read book System Identification Advances and Case Studies written by and published by Academic Press. This book was released on 1977-02-21 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Book Synopsis Identification and System Parameter Estimation by : Rolf Isermann
Download or read book Identification and System Parameter Estimation written by Rolf Isermann and published by . This book was released on 1980 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applied Optimal Estimation by : The Analytic Sciences Corporation
Download or read book Applied Optimal Estimation written by The Analytic Sciences Corporation and published by MIT Press. This book was released on 1974-05-15 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on the optimal estimation that places its major emphasis on practical applications, treating the subject more from an engineering than a mathematical orientation. Even so, theoretical and mathematical concepts are introduced and developed sufficiently to make the book a self-contained source of instruction for readers without prior knowledge of the basic principles of the field. The work is the product of the technical staff of The Analytic Sciences Corporation (TASC), an organization whose success has resulted largely from its applications of optimal estimation techniques to a wide variety of real situations involving large-scale systems. Arthur Gelb writes in the Foreword that "It is our intent throughout to provide a simple and interesting picture of the central issues underlying modern estimation theory and practice. Heuristic, rather than theoretically elegant, arguments are used extensively, with emphasis on physical insights and key questions of practical importance." Numerous illustrative examples, many based on actual applications, have been interspersed throughout the text to lead the student to a concrete understanding of the theoretical material. The inclusion of problems with "built-in" answers at the end of each of the nine chapters further enhances the self-study potential of the text. After a brief historical prelude, the book introduces the mathematics underlying random process theory and state-space characterization of linear dynamic systems. The theory and practice of optimal estimation is them presented, including filtering, smoothing, and prediction. Both linear and non-linear systems, and continuous- and discrete-time cases, are covered in considerable detail. New results are described concerning the application of covariance analysis to non-linear systems and the connection between observers and optimal estimators. The final chapters treat such practical and often pivotal issues as suboptimal structure, and computer loading considerations. This book is an outgrowth of a course given by TASC at a number of US Government facilities. Virtually all of the members of the TASC technical staff have, at one time and in one way or another, contributed to the material contained in the work.
Book Synopsis Identification and System Parameter Estimation by : Naum Samoĭlovich Raĭbman
Download or read book Identification and System Parameter Estimation written by Naum Samoĭlovich Raĭbman and published by . This book was released on 1978 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic System Identification: Experiment Design and Data Analysis by : Goodwin
Download or read book Dynamic System Identification: Experiment Design and Data Analysis written by Goodwin and published by Academic Press. This book was released on 1977-11-10 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic System Identification: Experiment Design and Data Analysis
Download or read book The Shock and Vibration Digest written by and published by . This book was released on 1976 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An International Survey of Shock and Vibration Technology by : Henry C. Pusey
Download or read book An International Survey of Shock and Vibration Technology written by Henry C. Pusey and published by . This book was released on 1979 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Identification and System Parameter Estimation by :
Download or read book Identification and System Parameter Estimation written by and published by . This book was released on 1978 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt:
