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Synthesis Of Input Signals In Parameter Estimation Problems
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Book Synopsis Synthesis of Input Signals in Parameter Estimation Problems by : Belle Raghavendra Upadhyaya
Download or read book Synthesis of Input Signals in Parameter Estimation Problems written by Belle Raghavendra Upadhyaya and published by . This book was released on 1975 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design of input signals to enhance the estimation on unknown parameters in discrete time dynamics is considered. The system identification problem can be considered as the initial phase of a stochastic control problem of a dynamic system. In such a situation it is desirable to estimate the parameters as rapidly as possible without disturbing the normal operation of the process. The problem is represented in a Baysian framework. The optimality criterion for the synthesis problem is defined in terms of the statistical distance measure between distributions characterized by distinct parameter values. In this dissertation we define this quantity in terms of the pairwise Bhattacharyya distance. The distance measure has the desirable property of ordering the Bayes' probability of error as a function of two experimental design programs. The statistical distance measures have been successfully used in studying taxonomy and characterization of racial distributions. It is shown that such an approach is also feasible in applications to more general dynamic situation.
Book Synopsis Synthesis of Input Signals in Parameter Estimation Problems by : Belle Raghavendra Upadhyaya
Download or read book Synthesis of Input Signals in Parameter Estimation Problems written by Belle Raghavendra Upadhyaya and published by . This book was released on 1975 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Input Signal Synthesis in Identification Problems by : Robert Michael Staley
Download or read book Input Signal Synthesis in Identification Problems written by Robert Michael Staley and published by . This book was released on 1968 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: The system considered is a scalar input scalar output discrete linear system with Gaussian additive noise on the observations. The identification problem is that of estimating the p-dimensional parameter vector phi from the noisy observations. The input signal synthesis problem is that of determining the input signal the set (u sub i) which will minimize some functional related to the estimation error, subject to an energy constraint on the signal. It is assumed that the system is being operated off-line during the identification procedure, so that the input signal is open to choice. The first part of the dissertation is devoted to the subject of identifiability, i.e. conditions on the system parameters, input, and initial conditions which will insure that information is obtained on all unknown parameters. Conditions are also given for the system to be completely identifiable. (Author).
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 232 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 Adaptive Optimal Input Synthesis for Linear System Identification by : B. R. Upadhyaya
Download or read book Adaptive Optimal Input Synthesis for Linear System Identification written by B. R. Upadhyaya and published by . This book was released on 1975 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal open-loop feedback formulation of the input synthesis problem for parameter estimation in linear dynamic systems is presented. The combination of recursive estimation and synthesis technique features a marked improvement in the behavior of estimates over the open-loop formulation. These methods are also applied in designing probing signals when the discrete a priori distribution of the parameters is known.
Book Synopsis Optimum Array Processing by : Harry L. Van Trees
Download or read book Optimum Array Processing written by Harry L. Van Trees and published by John Wiley & Sons. This book was released on 2002-04-04 with total page 1477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well-known authority, Dr. Van Trees updates array signal processing for today's technology This is the most up-to-date and thorough treatment of the subject available Written in the same accessible style as Van Tree's earlier classics, this completely new work covers all modern applications of array signal processing, from biomedicine to wireless communications
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 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 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
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 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.
Book Synopsis Identification and System Parameter Estimation by : Pieter Eykhoff
Download or read book Identification and System Parameter Estimation written by Pieter Eykhoff and published by . This book was released on 1973 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Announcement by : University of Michigan--Dearborn
Download or read book Announcement written by University of Michigan--Dearborn and published by . This book was released on 1977 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Intelligent Components and Instruments for Control Applications 1994 by : Cs. Banyasz
Download or read book Intelligent Components and Instruments for Control Applications 1994 written by Cs. Banyasz and published by Elsevier. This book was released on 2014-05-23 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in computer technology and sensor development have led to increasingly successful control operations. In order to maximize future potential it is vital for academics and practitioners in the field to have an international forum for discussion and evaluation of the latest developments. The IFAC Symposia on intelligent components and instruments provide this opportunity and the latest in the series gives rise to this invaluable publication which provides an authoritative assessment of the present state and future directions of these key technologies.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Signal Processing in Radar Systems by : Vyacheslav Tuzlukov
Download or read book Signal Processing in Radar Systems written by Vyacheslav Tuzlukov and published by CRC Press. This book was released on 2017-12-19 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential task in radar systems is to find an appropriate solution to the problems related to robust signal processing and the definition of signal parameters. Signal Processing in Radar Systems addresses robust signal processing problems in complex radar systems and digital signal processing subsystems. It also tackles the important issue of defining signal parameters. The book presents problems related to traditional methods of synthesis and analysis of the main digital signal processing operations. It also examines problems related to modern methods of robust signal processing in noise, with a focus on the generalized approach to signal processing in noise under coherent filtering. In addition, the book puts forth a new problem statement and new methods to solve problems of adaptation and control by functioning processes. Taking a systems approach to designing complex radar systems, it offers readers guidance in solving optimization problems. Organized into three parts, the book first discusses the main design principles of the modern robust digital signal processing algorithms used in complex radar systems. The second part covers the main principles of computer system design for these algorithms and provides real-world examples of systems. The third part deals with experimental measurements of the main statistical parameters of stochastic processes. It also defines their estimations for robust signal processing in complex radar systems. Written by an internationally recognized professor and expert in signal processing, this book summarizes investigations carried out over the past 30 years. It supplies practitioners, researchers, and students with general principles for designing the robust digital signal processing algorithms employed by complex radar systems.
Book Synopsis Analysis and Synthesis of Chemical Process Systems by : K. Hartmann
Download or read book Analysis and Synthesis of Chemical Process Systems written by K. Hartmann and published by Elsevier. This book was released on 2016-10-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods used by chemists and chemical engineers for the conception, design and operation of chemical process systems have undergone significant changes in the last 10 years. The most important of modern computer-aided techniques are process analysis and process system synthesis, both of which are closely related. The first part of the book presents the principles of model building, simulation and model application. On the basis of an appropriate set of hierarchical levels of chemical systems, the general strategy of analysis by deterministic and statistical methods is treated. The second part deals with process system synthesis beginning with reaction path analysis. One of the major features of this part are new methods for the synthesis of reactor networks, separation sequences, heat-exchanger systems and entire chemical process systems by a combined procedure of heuristic rules and fuzzy set algorithms. This procedure, which is known as knowledge engineering, is an efficient combination of human creativity and theoretically based knowledge. This book, which is illustrated by examples, should prove extremely useful as a text for a senior/graduate course for students of chemistry and chemical engineering and will also be invaluable for chemists and chemical engineers in research and industry, and specialists dealing with the analysis and synthesis of process systems.
