Advances in Spacecraft Attitude Control
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Edited by Timothy Sands Advances in Spacecraft AttitudeControl Spacecraft attitude maneuvers comply with Euler’s moment equations, a set of three nonlinear, coupled differential equations. Nonlinearities complicate the mathematical treatment of the seemingly simple action of rotating, and these complications lead Advances in Spacecraft to a robust lineage of research. This book is meant for basic scientifically inclined readers, and commences with a chapter on the basics of spaceflight and leverages this remediation to reveal very advanced topics to new spaceflight enthusiasts. The Attitude Control topics learned from reading this text will prepare students and faculties to investigate interesting spaceflight problems in an era where cube satellites have made such investigations attainable by even small universities. It is the fondest hope of the editor Edited by Timothy Sands and authors that readers enjoy this book. ISBN 978-1-78984-802-1 Published in London, UK © 2020 IntechOpen © vjanez / iStock Advances in Spacecraft Attitude Control Edited by Timothy Sands Published in London, United Kingdom Supporting open minds since 2005 Advances in Spacecraft Attitude Control http://dx.doi.org/10.5772/intechopen.77574 Edited by Timothy Sands Contributors Brendon Smeresky, Alexa Rizzo, Matthew Cooper, Jonathan Lang, Henry Travis, Zachary A Lewis, Kyle Baker, Joshua Ten Eyck, Ranjan Vepa, Eryn Culton, Emanuele Calabrò, Elisa Capello, Matteo Dentis, Renato Bruni, Fabio Celani, Elżbieta Jarzębowska, Marcin Kłak, Peter Waswa, Sangram Redkar © The Editor(s) and the Author(s) 2020 The rights of the editor(s) and the author(s) have been asserted in accordance with the Copyright, Designs and Patents Act 1988. All rights to the book as a whole are reserved by INTECHOPEN LIMITED. 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No responsibility is accepted for the accuracy of information contained in the published chapters. The publisher assumes no responsibility for any damage or injury to persons or property arising out of the use of any materials, instructions, methods or ideas contained in the book. First published in London, United Kingdom, 2020 by IntechOpen IntechOpen is the global imprint of INTECHOPEN LIMITED, registered in England and Wales, registration number: 11086078, 7th floor, 10 Lower Thames Street, London, EC3R 6AF, United Kingdom Printed in Croatia British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library Additional hard and PDF copies can be obtained from [email protected] Advances in Spacecraft Attitude Control Edited by Timothy Sands p. cm. Print ISBN 978-1-78984-802-1 Online ISBN 978-1-78984-803-8 eBook (PDF) ISBN 978-1-83968-516-3 An electronic version of this book is freely available, thanks to the support of libraries working with Knowledge Unlatched. KU is a collaborative initiative designed to make high quality books Open Access for the public good. More information about the initiative and links to the Open Access version can be found at www.knowledgeunlatched.org We are IntechOpen, the world’s leading publisher of Open Access books Built by scientists, for scientists 4,500+ 119,000+ 135M+ Open access books available International authors and editors Downloads Our authors are among the 151 Top 1% 12.2% Countries delivered to most cited scientists Contributors from top 500 universities Selection of our books indexed in the Book Citation Index in Web of Science™ Core Collection (BKCI) Interested in publishing with us? Contact [email protected] Numbers displayed above are based on latest data collected. For more information visit www.intechopen.com Meet the editor Dr. Timothy Sands graduated from Columbia University, Stanford University, and the Naval Postgraduate School. He is an Interna- tional Scholar Laureate of the Golden Key International Honor Society, a Fellow of the Defense Advanced Research Projects Agency, panelist of the National Science Foundation Graduate Research Fellowship program, and an interviewer for undergradu- ate admissions at Stanford University. He has published prolifically in archival journals, conference proceedings, books, and book chapters, in addition to giving plenary, keynote, and invitational presentations. He holds one patent in spacecraft attitude control. He is currently the Associate Dean of the Naval Postgrad- uate School’s Graduate School of Engineering and Applied Science having previously served as a university chief academic officer, dean, and research center director. Contents Preface III Section 1 Overviews 1 Chapter 1 3 Introduction to Satellite Attitude Control by Henry Travis Chapter 2 19 Kinematics: On Direction Cosine Matrices by Brendon Smeresky and Alex Rizzo Chapter 3 35 Quaternion-Based Spacecraft Dynamic Modeling and Reorientation Control Using the Dynamically Equivalent Manipulator Approach by Elżbieta Jarzębowska and Marcin Kłak Section 2 Control Techniques 49 Chapter 4 51 An Overview of Evolutionary Algorithms toward Spacecraft Attitude Control by Matthew A. Cooper and Brendon Smeresky Chapter 5 73 Spacecraft Guidance Sensing at Relativistic Velocities by Emanuele Calabrò Chapter 6 95 Analysis and Control of Nonlinear Attitude Motion of Gravity-Gradient Stabilized Spacecraft via Lyapunov-Floquet Transformation and Normal Forms by Peter M.B. Waswa and Sangram Redkar Chapter 7 135 Optimal Trajectory Synthesis and Tracking Control for Spacecraft Large Attitude Manoeuvers by Ranjan Vepa Contents Preface XIII Section 1 Overviews 1 Chapter 1 3 Introduction to Satellite Attitude Control by Henry Travis Chapter 2 19 Kinematics: On Direction Cosine Matrices by Brendon Smeresky and Alex Rizzo Chapter 3 35 Quaternion-Based Spacecraft Dynamic Modeling and Reorientation Control Using the Dynamically Equivalent Manipulator Approach by Elżbieta Jarzębowska and Marcin Kłak Section 2 Control Techniques 49 Chapter 4 51 An Overview of Evolutionary Algorithms toward Spacecraft Attitude Control by Matthew A. Cooper and Brendon Smeresky Chapter 5 73 Spacecraft Guidance Sensing at Relativistic Velocities by Emanuele Calabrò Chapter 6 95 Analysis and Control of Nonlinear Attitude Motion of Gravity-Gradient Stabilized Spacecraft via Lyapunov-Floquet Transformation and Normal Forms by Peter M.B. Waswa and Sangram Redkar Chapter 7 135 Optimal Trajectory Synthesis and Tracking Control for Spacecraft Large Attitude Manoeuvers by Ranjan Vepa Chapter 8 155 Parameter Optimization for Spacecraft Attitude Stabilization Preface Using Magnetorquers by Renato Bruni and Fabio Celani Chapter 9 177 Precise Attitude Control Techniques: Performance Analysis From Classical to Variable Structure Control Spacecraft attitude maneuvers comply with Euler’s moment equations, a set of three by Elisa Capello and Matteo Dentis nonlinear, coupled differential equations. Nonlinearities complicate the mathe- matical treatment of the seemingly simple action of rotating, and these complica- Section 3 tions lead to a robust lineage of research. This book begins with an introduction to Control Moment Gyroscope Actuators 201 the nature of attitude control before illustrating some recent advancements in the field, including optimal trajectory synthesis, parameter optimization, modern kine- Chapter 10 203 matics (questioning ubiquitously accepted practices), analysis and control of the Investigation of Singularities in a 3/4 CMG Configuration with nonlinear motion and utilization of precision control techniques, including applica- Mixed Skew Angles tion at relativistic velocities, and new developments in the use of control moment by Jonathan W. Lang gyroscopes as actuators. Among the key facets of the book is the first-ever compre- hensive treatment of mounting geometries of single-gimballed control moment Chapter 11 223 gyroscopes, which will encourage readers to keep the book as a future reference Control Moment Gyroscope Skew Angle Variation and Singularity text. The analysis is centered on performance and singularity-free operations. Penetration by Kyle A. Baker The text is meant for basic scientifically inclined readers, and commences with a chapter on the basics of spaceflight and leverages this remediation to reveal very Chapter 12 233 advanced topics to new spaceflight enthusiasts. The topics learned from reading this Single Axis Singularity Mapping for Mixed Skew Angle, text will prepare students and faculties to investigate interesting spaceflight prob- Non-Redundant, Single Gimbaled CMG Systems lems in an era where cube satellites have made such investigations attainable by by Eryn A. Culton