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Kalman Filtering

Kalman Filtering
Author: Mohinder S. Grewal
Publisher: John Wiley & Sons
Total Pages: 639
Release: 2015-02-02
Genre: Technology & Engineering
ISBN: 111898496X

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The definitive textbook and professional reference on Kalman Filtering – fully updated, revised, and expanded This book contains the latest developments in the implementation and application of Kalman filtering. Authors Grewal and Andrews draw upon their decades of experience to offer an in-depth examination of the subtleties, common pitfalls, and limitations of estimation theory as it applies to real-world situations. They present many illustrative examples including adaptations for nonlinear filtering, global navigation satellite systems, the error modeling of gyros and accelerometers, inertial navigation systems, and freeway traffic control. Kalman Filtering: Theory and Practice Using MATLAB, Fourth Edition is an ideal textbook in advanced undergraduate and beginning graduate courses in stochastic processes and Kalman filtering. It is also appropriate for self-instruction or review by practicing engineers and scientists who want to learn more about this important topic.


Advanced Kalman Filtering, Least-Squares and Modeling

Advanced Kalman Filtering, Least-Squares and Modeling
Author: Bruce P. Gibbs
Publisher: John Wiley & Sons
Total Pages: 559
Release: 2011-03-29
Genre: Technology & Engineering
ISBN: 1118003160

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This book is intended primarily as a handbook for engineers who must design practical systems. Its primary goal is to discuss model development in sufficient detail so that the reader may design an estimator that meets all application requirements and is robust to modeling assumptions. Since it is sometimes difficult to a priori determine the best model structure, use of exploratory data analysis to define model structure is discussed. Methods for deciding on the “best” model are also presented. A second goal is to present little known extensions of least squares estimation or Kalman filtering that provide guidance on model structure and parameters, or make the estimator more robust to changes in real-world behavior. A third goal is discussion of implementation issues that make the estimator more accurate or efficient, or that make it flexible so that model alternatives can be easily compared. The fourth goal is to provide the designer/analyst with guidance in evaluating estimator performance and in determining/correcting problems. The final goal is to provide a subroutine library that simplifies implementation, and flexible general purpose high-level drivers that allow both easy analysis of alternative models and access to extensions of the basic filtering. Supplemental materials and up-to-date errata are downloadable at http://booksupport.wiley.com.


Applied Optimal Estimation

Applied Optimal Estimation
Author: The Analytic Sciences Corporation
Publisher: MIT Press
Total Pages: 388
Release: 1974-05-15
Genre: Computers
ISBN: 9780262570480

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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.


Control and Dynamic Systems V20

Control and Dynamic Systems V20
Author: C.T. Leonides
Publisher: Elsevier
Total Pages: 431
Release: 2012-12-02
Genre: Technology & Engineering
ISBN: 0323150721

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Control and Dynamic Systems, Volume 20 is a collection of papers that discusses the techniques and technology of the application of nonlinear filters and Kalman filters. This collection deals with issues on computation techniques along with many examples of applications of these filters. One paper reviews the bias-separated estimation theory with some alternate derivations by investigators which can provide further extensions. Another paper shows that methods and techniques used in estimating stochastic parameters that have been derived from conventional stochastic operations are effective in various applications. Other papers describe the many advanced applications of Kalman filters and nonlinear estimators in aerospace systems such as the application of adaptive Kalman filtering for aided strapdown navigation systems. As an example, a software package can test the technique of model switching; as well as other applications of the methods of adaptive Kalman filtering for aided strapdown navigation systems. Total system development of ballistic missiles concerns system-level understanding that uses modern analytic methods including applications of filtering and smoothing theory. This book can prove useful for people working in industrial process control or in econometrics, as well as nuclear physicists.


Optimal and Robust Estimation

Optimal and Robust Estimation
Author: Frank L. Lewis
Publisher: CRC Press
Total Pages: 546
Release: 2017-12-19
Genre: Technology & Engineering
ISBN: 1420008293

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More than a decade ago, world-renowned control systems authority Frank L. Lewis introduced what would become a standard textbook on estimation, under the title Optimal Estimation, used in top universities throughout the world. The time has come for a new edition of this classic text, and Lewis enlisted the aid of two accomplished experts to bring the book completely up to date with the estimation methods driving today's high-performance systems. A Classic Revisited Optimal and Robust Estimation: With an Introduction to Stochastic Control Theory, Second Edition reflects new developments in estimation theory and design techniques. As the title suggests, the major feature of this edition is the inclusion of robust methods. Three new chapters cover the robust Kalman filter, H-infinity filtering, and H-infinity filtering of discrete-time systems. Modern Tools for Tomorrow's Engineers This text overflows with examples that highlight practical applications of the theory and concepts. Design algorithms appear conveniently in tables, allowing students quick reference, easy implementation into software, and intuitive comparisons for selecting the best algorithm for a given application. In addition, downloadable MATLAB® code allows students to gain hands-on experience with industry-standard software tools for a wide variety of applications. This cutting-edge and highly interactive text makes teaching, and learning, estimation methods easier and more modern than ever.