Computation and Asymptotics
This book addresses the task of computation from the standpoint of asymptotic analysis and multiple scales that may be inherent in the system dynamics being studied. This is in contrast to the usual methods of numerical analysis and computation. The techn
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Rudrapatna V. Ramnath
Computation and Asymptotics
123
Rudrapatna V. Ramnath Ph.D. Massachusetts Institute of Technology Fessenden Way 12 Lexington MA 02420 USA e-mail: [email protected]
ISSN 2191-5342 ISBN 978-3-642-25748-3 DOI 10.1007/978-3-642-25749-0
e-ISSN 2191-5350 e-ISBN 978-3-642-25749-0
Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2011944257 Ó The Author(s) 2012 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Dedicated to the fond memory of my parents, Sri R. Venkataramaiya and Smt. Seethamma
Foreword
The monograph Computation and Asymptotics is published in the series of SpringerBriefs in Applied Sciences and Technology—Computational Mechanics, which features cutting-edge research and practical applications presented and introduced by leading experts. The author of this contribution, Professor Rudrapatna V. Ramnath, received a M.Sc. degree in Electrical Engineering (Flight Control) from Cranfield Institute of Technology (U.K.), M.S.E., M.A. and Ph.D. degrees in Aerospace and Mechanical Engineering from Princeton University. He generalized the multiple scales theory and significantly contributed to the theory and applications of asymptotic analysis. Using multiple scales theory, he solved a large class of problems in advanced aircraft and spacecraft dynamics and control including: hover-forward flight transitions of VTOL aircrafts, analytical theory of high angle-of-attack flight dynamics (for 1, 2, and 3 degree-of-freedom wing rock), re-entry vehicle dynamics, stability and parameter sensitivity of time-varying systems applied to the Generic Hypersonic Aerodynamic Model of NASA, etc. Furthermore, he developed a new handling quality theory of advanced aircrafts through variable flight conditions. In spacecraft he developed new and useful approaches for such as new attitude control design for single spin and dual spin satellites, dynamics, stability and control of large space structures with deformable reflectors, and mode shape determination for Heliogyro spacecraft, etc. Professor Ramnath’s work also includes the dev
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