Applied Mathematics In Integrated Navigation Systems (aiaa Education Series)
by Robert M. Rogers /
2003 / English / PDF
8.1 MB Download
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. This presentation is
segmented into two parts. In the first part, 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 second
edition includes software, additional background material and
exercises, and additional applications. Selected Chapter, Section,
and Exercise related software is provided in a companion CD-ROM to
enhance the learning experience of the reader. The included
software has been developed using MATLAB/Simulink version 6.5 by
The MathWorks, Inc. Additional material includes: integrating
navigation aides for a navigation system's vertical axis; exercises
that broaden the scope of problems encountered in integrated
navigation systems: and the general problem of attitude
determination and estimation whether for terrestrial or space
applications. This edition provides a more complete foundationfor
addressing the different aspects of integrated navigation systems.
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. This presentation is
segmented into two parts. In the first part, 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 second
edition includes software, additional background material and
exercises, and additional applications. Selected Chapter, Section,
and Exercise related software is provided in a companion CD-ROM to
enhance the learning experience of the reader. The included
software has been developed using MATLAB/Simulink version 6.5 by
The MathWorks, Inc. Additional material includes: integrating
navigation aides for a navigation system's vertical axis; exercises
that broaden the scope of problems encountered in integrated
navigation systems: and the general problem of attitude
determination and estimation whether for terrestrial or space
applications. This edition provides a more complete foundationfor
addressing the different aspects of integrated navigation systems.