Applied Mathematics in Integrated Navigation Systems, Third Edition

Abstract

ForewordWe are very happy to present the third edition of Applied Mathematics in Integrated Navigation Systems by Robert M. Rogers. The first two editions have been very well received, and we are certain that this comprehensive and in-depth treatment of such a timely and important topic in the aerospace field, as well as others, will be equally well received by the technical community. The book has sixteen chapters divided into two main parts and several appendices, including a bibliography, all in more than 400 pages. There is a detailed Preface and software for download.Robert Rogers is extremely well qualified to write this book, because of his broad and deep expertise in the area. His command of the material is excellent, and he is able to organize and present it in a very clear manner.The AIAA Education Book Series aims to cover a very broad range of topics in the general aerospace field, including basic theory, applications and design. Information about a complete list of titles can be found on the last page of this volume. The philosophy of the series is to develop textbooks that can be used in a university setting, instructional materials for continuing education and professional development courses, and also books that can serve as the basis for independent study. Suggestions for new topics or authors are always welcome. Joseph A. SchetzEditor-in-Chief AIAA Education Series Downloaded by Stanford University on September 28, 2012 | http://arc.aiaa.org |

Numerical Stability Improvement Technique for Indirect Feedback Kalman Filter in Delayed-Measurement Systems

“…레이더추적시스템, 영상센서 등의 보조센서를 이용하 여 보정항법을 수행한다 [1,2] . Bar-Shalom은 분산환경에서 시간지연을 고려한 최적 추정 알고리즘을 제시하였다 [3] .…”

A Knowledge-Based Step Length Estimation Method Based on Fuzzy Logic and Multi-Sensor Fusion Algorithms for a Pedestrian Dead Reckoning System

“…Such errors can basically be divided into two categories: random constant and time-correlated random process errors [32]. Since the dynamic representation of random constant errors is simple, and these have a significant influence on the performance of the sensor, the selected calibration parameters for this study are the random constant errors that could result from a sensor triad of scale factors, biases, and orthogonalization angles.…”

Fusing acoustic ranges and inertial measurements in AUV navigation: The Typhoon AUV at CommsNet13 sea trial

“…The GPS measure contains the N-E coordinates of the vehicle position in the local navigation frame with respect to the starting position, computed employing the flat Earth surface approximation [10]. In (3), the actual measure from the USBL is the relative position of the vehicle with respect to the i-th acoustic source, namely p u-mi,u , expressed in the coordinate frame of the device.…”

“…The inertial mechanization equations [10] are a set of nonlinear differential equations relating vehicles attitude, velocity and position -the state of the system -to known/measured inertial quantities. In the general theory of strapdown inertial navigation, the equations are integrated given the measurements of inertial sensors, accelerometers and gyroscopes, measured in the body frame, which usually represent the inputs of the navigation system.…”