Download or read book Nonlinear Estimation Theory Applied to Orbit Determination written by Chul Young Choe and published by . This book was released on 1972 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonlinear estimation theory applied to orbit determination written by Chul Young Choe and published by . This book was released on 1972 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Statistical Orbit Determination written by Bob Schutz and published by Elsevier. This book was released on 2004-06-26 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Orbit Determination presents fundmentals of orbit determination--from weighted least squares approaches (Gauss) to today's high-speed computer algorithms that provide accuracy within a few centimeters. Numerous examples and problems are provided to enhance readers' understanding of the material. Covers such topics as coordinate and time systems, square root filters, process noise techniques, and the use of fictitious parameters for absorbing un-modeled and incorrectly modeled forces acting on a satellite. Examples and exercises serve to illustrate the principles throughout each chapter.

Download or read book Review and Critique of Some Procedures and Results in Nonlinear Estimation written by F. C. Johnson and published by . This book was released on 1970 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Procedures and results in nonlinear estimation are reviewed and critiqued. Both theory and applications are discussed. The theoretical work is concerned with least-squares parameter estimation and marginal maximum likelihood filtering and smoothing for discrete-time nonlinear dynamic systems. Application studies which are examined include 747 stability and control derivatives estimation from flight test data, estimation of human respiratory system parameters from test data, and Apollo orbit determination from tracking ship data. (Author).

Download or read book A Short Course in State Estimation and Kalman Filtering written by David Cicci and published by . This book was released on 2021-06-24 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a short course covering advanced topics in state estimation and Kalman filtering. It focuses on the Orbit Determination problem. This course is structured to present the basic concepts without the in-depth theoretical background and mathematical derivations that commonly accompany an academic presentation of the subject. My intention is to introduce state estimation in a simplified manner to those with no previous background in the field, or to provide a review to those who have studied the subject previously. Readers should have a familiarity with differential and integral calculus and differential equations to help understand some equations presented. The form of this short course is like the many short courses I've taught at government agencies and private corporations during my thirty-five-year career as an aerospace engineering professor at Auburn University. It presents the material in a simplified outline / bullet format using many understandable figures, rather than using lengthy, detailed explanations with complex mathematical derivations and proofs. It provides the practical equations that are useful to the practicing engineer. The objectives of this short course are to: - Introduce the concepts and fundamentals of state estimation, with applications to the orbit determination problem. - Present the concepts of batch estimation using least squares, weighted least squares, minimum variance, and ridge-type estimation methods. - Introduce the fundamentals of sequential estimation using the Kalman filter, the Extended Kalman filter, and the Unscented Kalman filter. - Discuss the sources of error in orbit determination and present methods of improving accuracy in the solution process- - Present practical considerations of orbit determination involving observational data, update intervals and fit spans, the results of differential correction, and the use of smoothers and GPS. The material presented is usually covered in graduate level course in estimation theory except that there's no required homework, quizzes, projects, computer programs to write, or examinations. I believe that even a novice reading through this material will gain an in-depth understanding of state estimation. My former students should recognize everything in this presentation, and if they didn't learn it the first time, they can learn it now through this simplified short course with much less work. State estimation and Kalman filtering is not easy, but it's my goal to make it enjoyably simple once the fundamentals are understood. To do so, I've attempted to present the difficult concepts as clearly as possible to facilitate that understanding. Completion of this short course should enhance the knowledge base of all those who read through its content. This short course is part of a series I've developed as a Professor at Auburn University. Others in this series include: Orbital Mechanics, Part I: The Two-Body Problem Orbital Mechanics, Part II: Satellite Perturbations Fundamentals of Inertial Navigation and Missile Guidance David A. Cicci, Auburn, Alabama, [email protected]

Download or read book Theory of Orbit Determination written by Andrea Milani and published by Cambridge University Press. This book was released on 2010 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents new algorithms for determining orbits; ideal for graduate students and researchers in applied mathematics, physics, astronomy and aerospace engineering.

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 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.

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 138 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.

Download or read book Problems in Estimation Theory with Applications to Orbit Determination written by David Walter Curkendall and published by . This book was released on 1971 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several problems in estimation theory with current application interest to orbit determination are treated in the report. Although much of the material covered has general application, the important specific of interplanetary orbit determination is given special emphasis and is used throughout to provide context and to obtain numerical results. Topics covered include: modeling the errors in the navigation measurements, describing the navigation measurements compactly in terms of the unknown parameters, and describing the estimation accuracy in a variety of poorly modeled situations. (Author).

Download or read book Application of the Kalman Filter to Orbit Determination written by Thomas R. Filiatreau and published by . This book was released on 1970 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper presents such a method by applying Kalman Filter theory to determine the position and velocity of near-earth satellites using data from a fixed observer on the Earth. The vehicle equations of motion are linearized in a Taylor Series expansion. The nominal states, position and velocity, are determined by integrating the nonlinear equations of motion, and the linear filter theory is used to estimate the errors in these states. The linear estimated errors are added to the nominal states to obtain an updated trajectory which is used as the starting point on a new nominal for the next integration. Actual tracking data from four different satellites are used in the study. Convergence of the error estimates to values less than 0.1 per cent of the best estimates of position and velocity is obtained within 50-250 seconds from the time of the initial radar contact. The program is capable of integrating for over 80 seconds with no tendency to diverge. The rate of convergence is related to the initial guess of the error covariance matrix, along with the measurement accuracy of the tracking stations. Results are presented in both tabular and graphical form. (Author).

Download or read book Non linear Orbit Determination Methods written by Ali Hasan Nayfeh and published by . This book was released on 1968 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Optimal State Estimation written by Dan Simon and published by John Wiley & Sons. This book was released on 2006-06-19 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bottom-up approach that enables readers to master and apply the latest techniques in state estimation This book offers the best mathematical approaches to estimating the state of a general system. The author presents state estimation theory clearly and rigorously, providing the right amount of advanced material, recent research results, and references to enable the reader to apply state estimation techniques confidently across a variety of fields in science and engineering. While there are other textbooks that treat state estimation, this one offers special features and a unique perspective and pedagogical approach that speed learning: * Straightforward, bottom-up approach begins with basic concepts and then builds step by step to more advanced topics for a clear understanding of state estimation * Simple examples and problems that require only paper and pen to solve lead to an intuitive understanding of how theory works in practice * MATLAB(r)-based source code that corresponds to examples in the book, available on the author's Web site, enables readers to recreate results and experiment with other simulation setups and parameters Armed with a solid foundation in the basics, readers are presented with a careful treatment of advanced topics, including unscented filtering, high order nonlinear filtering, particle filtering, constrained state estimation, reduced order filtering, robust Kalman filtering, and mixed Kalman/H? filtering. Problems at the end of each chapter include both written exercises and computer exercises. Written exercises focus on improving the reader's understanding of theory and key concepts, whereas computer exercises help readers apply theory to problems similar to ones they are likely to encounter in industry. With its expert blend of theory and practice, coupled with its presentation of recent research results, Optimal State Estimation is strongly recommended for undergraduate and graduate-level courses in optimal control and state estimation theory. It also serves as a reference for engineers and science professionals across a wide array of industries.

Download or read book An Introduction to Optimal Estimation of Dynamical Systems written by J.L. Junkins and published by Springer. This book was released on 1978-07-31 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text 1s designed to introduce the fundamentals of esti mation to engineers, scientists, and applied mathematicians. The level of the presentation should be accessible to senior under graduates and should prove especially well-suited as a self study guide for practicing professionals. My primary motivation for writing this book 1s to make a significant contribution toward minimizing the painful process most newcomers must go through in digesting and applying the theory. Thus the treatment 1s intro ductory and essence-oriented rather than comprehensive. While some original material 1s included, the justification for this text lies not in the contribution of dramatic new theoretical re sults, but rather in the degree of success I believe that I have achieved in providing a source from which this material may be learned more efficiently than through study of an existing text or the rather diffuse literature. This work is the outgrowth of the author's mid-1960's en counter with the subject while motivated by practical problems aSSociated with space vehicle orbit determination and estimation of powered rocket trajectories. The text has evolved as lecture notes for short courses and seminars given to professionals at Pr>efaae various private laboratories and government agencies, and during the past six years, in conjunction with engineering courses taught at the University of Virginia. To motivate the reader's thinking, the structure of a typical estimation problem often assumes the following form: • Given a dynamical system, a mathematical model is hypothesized based upon the experience of the investigator.

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.

Download or read book Modern Astrodynamics written by and published by Elsevier. This book was released on 2006-10-19 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, an unprecedented interest in novel and revolutionary space missions has risen out of the advanced NASA and ESA programs. Astrophysicists, astronomers, space systems engineers, mathematicians and scientists have been cooperating to implement novel and ground-breaking space missions. Recent progress in mathematical dynamics has enabled development of specialised spacecraft orbits and propulsion systems. Recently, the concept of flying spacecraft in formation has gained a lot of interest within the community. These progresses constitute the background to a significant renaissance of research dealing with astrodynamics and its applications. Modern Astrodynamics is designed as a stepping stone for the exposition of modern astrodynamics to students, researchers, engineers and scientists. This volume will present the main constituents of the astrodynamical science in an elaborate, comprehensive and rigorous manner. Although the volume will contain a few distinct chapters, it will render a coherent portrayal of astrodynamics. Encompasses the main constituents of the astrodynamical sciences in an elaborate, comprehensive and rigorous manner Presents recent astrodynamical advances and describes the challenges ahead The first volume of a series designed to give scientists and engineers worldwide an opportunity to publish their works in this multi-disciplinary field

Download or read book Modern Orbit Determination written by William E. Wiesel and published by CreateSpace. This book was released on 2010-06-14 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Orbit Determination is an introduction to the applications of estimation theory to orbit determination. Beginning with the deterministic point of view, the author moves towards the more modern stochastic viewpoint. The fact that the degree of determinism present is an engineering decision is emphasized.