Applied Mathematics in Integrated Navigation Systems

Applied Mathematics in Integrated Navigation Systems
Author: Robert M. Rogers
Publisher: AIAA
Total Pages: 356
Release: 2003
Genre: Technology & Engineering
ISBN: 9781563476563

Descripción dele ditor: "The subject of integrated navigation systems covered in this book is designed for those directly involved with the design, integration, and test and evaluation of navigation systems. It is assumed that the reader has a background in mathematics, including calculus. Integrated navigation systems are the combination of an onboard navigation solution (position, velocity, and attitude) and independent navigation data (aids to navigation) to update or correct navigation solutions. In this book, this combination is accomplished with Kalman filter algorithms. Elements of basic mathematics, kinematics, equations describing navigation systems/sensors and their error models, aids to navigation, and Kalman filtering are developed. Detailed derivations are presented and examples are given to aid in the understanding of these elements of integrated navigation systems. Problems are included to expand the application of the materials presented. The third edition includes additional background material, exercises and software. The added material includes: development of general form for Earth's gravitational potential with simplification to an ellipsoid model; development of satellite orbital equations for position and velocity and the impact of non-spherical earth gravitation on satellite orbital parameters; and illustrations in the development of derivative-free Kalman filters including the Unscented and Divided Difference filter forms. Additional exercises are included that expand and supplement the material in the text and demonstrate properties of the Kalman filter. Additional software is included in this edition for simulating random processes and derivative-free filter implementations. This edition provides a more complete foundation for addressing the different aspects of integrated navigation systems.This BookApplied Mathematics in Integrated Navigation Systems, Third Edition coverCopyright © 2007 by the American Institute of Aeronautics and Astronautics, Inc.https://doi.org/10.2514/4.861598Supplemental MaterialsPricesHardbackMember: $74.95List: $94.95Not an AIAA Member? Join today and start saving!Site Tools Sign up for e-alerts RSS" (ARC).

Applied Mathematics in Integrated Navigation Systems

Applied Mathematics in Integrated Navigation Systems
Author: Robert M. Rogers
Publisher: AIAA (American Institute of Aeronautics & Astronautics)
Total Pages: 442
Release: 2007
Genre: Mathematics
ISBN:

The subject of integrated navigation systems covered in this book is designed for those directly involved with the design, integration, and test and evaluation of navigation systems. It is assumed that the reader has a background in mathematics, including calculus. Integrated navigation systems are the combination of an onboard navigation solution (position, velocity, and attitude) and independent navigation data (aids to navigation) to update or correct navigation solutions. In this book, this combination is accomplished with Kalman filter algorithms.

Strapdown Inertial Navigation Technology

Strapdown Inertial Navigation Technology
Author: David Titterton
Publisher: IET
Total Pages: 578
Release: 2004
Genre: Technology & Engineering
ISBN: 0863413587

Inertial navigation is widely used for the guidance of aircraft, missiles ships and land vehicles, as well as in a number of novel applications such as surveying underground pipelines in drilling operations. This book discusses the physical principles of inertial navigation, the associated growth of errors and their compensation. It draws current technological developments, provides an indication of potential future trends and covers a broad range of applications. New chapters on MEMS (microelectromechanical systems) technology and inertial system applications are included.

Inertial Navigation Systems with Geodetic Applications

Inertial Navigation Systems with Geodetic Applications
Author: Christopher Jekeli
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 424
Release: 2023-07-24
Genre: Science
ISBN: 3110784327

This book covers all aspects of inertial navigation systems (INS), including the sensor technology and the estimation of instrument errors, as well as their integration with Global Navigation Satellite Systems, specifically the Global Positioning System (GPS) for geodetic applications. The text is of interest to geodesists, including surveyors, mappers, and photogrammetrists; to engineers in aviation, navigation, guidance, transportation, and robotics; and to scientists involved in aerogeophysics and remote sensing. The most recent developments are covered with this second edition that also features an updated treatment of the classical material. Detailed mathematical derivations of the principles of measurement and data processing of inertial measurement units for both stabilized and strapdown systems. Complete treatment of the error dynamics from a statistical viewpoint, including the Kalman filter. A self-contained description of GPS with emphasis on kinematic applications. Key concepts supported by illustrations and numerical examples.

Integrated Aircraft Navigation

Integrated Aircraft Navigation
Author: James Farrell
Publisher: Elsevier
Total Pages: 368
Release: 2012-12-02
Genre: Transportation
ISBN: 0323153798

Integrated Aircraft Navigation discusses the fundamentals of navigation systems analysis. Modern aircraft navigation systems are characterized by a multifaceted, computer-oriented approach, covering various branches of theoretical dynamics, inertial measurements, radar, radio navaids, celestial observations, and widely used statistical estimation techniques. Each pertinent field entails much technological development that is not essential for applied systems analysis. The book presents pertinent information extracted from a broad range of topics, expressed in terms of Newtonian physics and matrix-vector mathematics. The book begins by defining basic navigation quantities and functions, and introducing various subjects as an aid to subsequent developments. These include basic motion patterns, navigation coordinate frames, and navigation techniques and requirements. This is followed by separate chapters on coordinate transformations and kinematics; inertial navigation theory; the physics of inertial measurements; and navigation with multiple sensors. Subsequent chapters deal with dynamic equations for all navigation modes considered; functional relationships and practical considerations for the various navigation aid sensors in common usage; and system applications. This book will be useful to the student or practicing engineer who wants a valid analytical characterization, using the simplest theoretical concepts permissible, while omitting specialized mechanization details.

Global Positioning Systems, Inertial Navigation, and Integration

Global Positioning Systems, Inertial Navigation, and Integration
Author: Mohinder S. Grewal
Publisher: John Wiley & Sons
Total Pages: 416
Release: 2007-03-05
Genre: Science
ISBN: 0470099712

An updated guide to GNSS and INS, and solutions to real-world GPS/INS problems with Kalman filtering Written by recognized authorities in the field, this second edition of a landmark work provides engineers, computer scientists, and others with a working familiarity with the theory and contemporary applications of Global Navigation Satellite Systems (GNSS), Inertial Navigational Systems (INS), and Kalman filters. Throughout, the focus is on solving real-world problems, with an emphasis on the effective use of state-of-the-art integration techniques for those systems, especially the application of Kalman filtering. To that end, the authors explore the various subtleties, common failures, and inherent limitations of the theory as it applies to real-world situations, and provide numerous detailed application examples and practice problems, including GNSS-aided INS, modeling of gyros and accelerometers, and SBAS and GBAS. Drawing upon their many years of experience with GNSS, INS, and the Kalman filter, the authors present numerous design and implementation techniques not found in other professional references. This Second Edition has been updated to include: GNSS signal integrity with SBAS Mitigation of multipath, including results Ionospheric delay estimation with Kalman filters New MATLAB programs for satellite position determination using almanac and ephemeris data and ionospheric delay calculations from single and dual frequency data New algorithms for GEO with L1 /L5 frequencies and clock steering Implementation of mechanization equations in numerically stable algorithms To enhance comprehension of the subjects covered, the authors have included software in MATLAB, demonstrating the working of the GNSS, INS, and filter algorithms. In addition to showing the Kalman filter in action, the software also demonstrates various practical aspects of finite word length arithmetic and the need for alternative algorithms to preserve result accuracy.

MEMS-based Integrated Navigation

MEMS-based Integrated Navigation
Author: Priyanka Aggarwal
Publisher: Artech House
Total Pages: 213
Release: 2010
Genre: Technology & Engineering
ISBN: 1608070441

Due to their micro-scale size and low power consumption, Microelectromechanical systems (MEMS) are now being utilized in a variety of fields. This leading-edge resource focuses on the application of MEMS inertial sensors to navigation systems. The book shows you how to minimize cost by adding and removing inertial sensors. Moreover, this practical reference provides you with various integration strategies with examples from real field tests. From an introduction to MEMS navigation related applicationsOC to special topics on Alignment for MEMS-Based NavigationOC to discussions on the Extended Kalman Filter, this comprehensive book covers a wide range of critical topics in this fast-growing area."

Fundamentals of Inertial Navigation, Satellite-based Positioning and their Integration

Fundamentals of Inertial Navigation, Satellite-based Positioning and their Integration
Author: Aboelmagd Noureldin
Publisher: Springer Science & Business Media
Total Pages: 324
Release: 2012-10-26
Genre: Technology & Engineering
ISBN: 3642304664

Fundamentals of Inertial Navigation, Satellite-based Positioning and their Integration is an introduction to the field of Integrated Navigation Systems. It serves as an excellent reference for working engineers as well as textbook for beginners and students new to the area. The book is easy to read and understand with minimum background knowledge. The authors explain the derivations in great detail. The intermediate steps are thoroughly explained so that a beginner can easily follow the material. The book shows a step-by-step implementation of navigation algorithms and provides all the necessary details. It provides detailed illustrations for an easy comprehension. The book also demonstrates real field experiments and in-vehicle road test results with professional discussions and analysis. This work is unique in discussing the different INS/GPS integration schemes in an easy to understand and straightforward way. Those schemes include loosely vs tightly coupled, open loop vs closed loop, and many more.