A Mathematical Perspective on Flight Dynamics and Control

  • Andrea L'Afflitto

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

  • Andrea L'Afflitto
    • 1
  1. 1.School of Aerospace and Mechanical EnginThe University of Oklahoma School of Aerospace and Mechanical EnginNormanUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-47467-0
  • Copyright Information The Author(s) 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-47466-3
  • Online ISBN 978-3-319-47467-0
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • About this book