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© 2017

A Mathematical Perspective on Flight Dynamics and Control

Book

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Andrea L’Afflitto
    Pages 1-34
  3. Andrea L’Afflitto
    Pages 35-64
  4. Andrea L’Afflitto
    Pages 65-87
  5. Andrea L’Afflitto
    Pages 89-90
  6. Back Matter
    Pages 91-122

About this book

Introduction

This brief presents several aspects of flight dynamics, which are usually omitted or briefly mentioned in textbooks, in a concise, self-contained, and rigorous manner. The kinematic and dynamic equations of an aircraft are derived starting from the notion of the derivative of a vector and then thoroughly analysed, interpreting their deep meaning from a mathematical standpoint and without relying on physical intuition. Moreover, some classic and advanced control design techniques are presented and illustrated with meaningful examples.

Distinguishing features that characterize this brief include a definition of angular velocity, which leaves no room for ambiguities, an improvement on traditional definitions based on infinitesimal variations. Quaternion algebra, Euler parameters, and their role in capturing the dynamics of an aircraft are discussed in great detail. After having analyzed the longitudinal- and lateral-directional modes of an aircraft, the linear-quadratic regulator, the linear-quadratic Gaussian regulator, a state-feedback H-infinity optimal control scheme, and model reference adaptive control law are applied to aircraft control problems. To complete the brief, an appendix provides a compendium of the mathematical tools needed to comprehend the material presented in this brief and presents several advanced topics, such as the notion of semistability, the Smith–McMillan form of a transfer function, and the differentiation of complex functions: advanced control-theoretic ideas helpful in the analysis presented in the body of the brief.

A Mathematical Perspective on Flight Dynamics and Control will give researchers and graduate students in aerospace control an alternative, mathematically rigorous means of approaching their subject.

Keywords

Flight Dynamics Flight Control Euler Parameters Tait–Bryan Angles Multivariable Linear Systems Classical Linear Systems Control Modern Linear Systems Control

Authors and affiliations

  1. 1.School of Aerospace and Mechanical EnginThe University of Oklahoma School of Aerospace and Mechanical EnginNormanUSA

About the authors

The author is an assistant professor at the School of Aerospace and Mechanical Engineering of The University of Oklahoma and is presently teaching a graduate course in flight control. Dr. L'Afflitto holds a B.S., M.S., and Ph.D. degree in aerospace engineering and a M.S. degree in Mathematics and his research is currently focused on optimal control theory and differential games theory with applications to aerospace control problems, such as fuel-optimal path planning and formation flying.

Bibliographic information

  • Book Title A Mathematical Perspective on Flight Dynamics and Control
  • Authors Andrea L'Afflitto
  • Series Title SpringerBriefs in Applied Sciences and Technology
  • Series Abbreviated Title SpringerBriefs in Applied Sciences
  • DOI https://doi.org/10.1007/978-3-319-47467-0
  • Copyright Information The Author(s) 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Softcover ISBN 978-3-319-47466-3
  • eBook ISBN 978-3-319-47467-0
  • Series ISSN 2191-530X
  • Series E-ISSN 2191-5318
  • Edition Number 1
  • Number of Pages XII, 122
  • Number of Illustrations 5 b/w illustrations, 14 illustrations in colour
  • Topics Aerospace Technology and Astronautics
    Systems Theory, Control
    Control and Systems Theory
  • Buy this book on publisher's site
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