# A Mathematical Perspective on Flight Dynamics and ControlAircraft Automatic Control

A Mathematical Perspective on Flight Dynamics and Control: Aircraft Automatic Control [In the previous chapters, the nonlinear equations of motion of an aircraft have been derived and thoroughly analyzed. In this this chapter, we present several control techniques that are commonly applied in the design of flight controls. Specifically, the proportional-integral-derivative control scheme, the linear-quadratic regulator, the optimal state-feedback \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {H}_{\infty }$$\end{document} control, and the adaptive control are discussed in detail. These techniques are illustrated through several meaningful numerical examples.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

# A Mathematical Perspective on Flight Dynamics and ControlAircraft Automatic Control

22 pages

/lp/springer-journals/a-mathematical-perspective-on-flight-dynamics-and-control-aircraft-fQGIaVDn7T
Publisher
Springer International Publishing
ISBN
978-3-319-47466-3
Pages
65 –87
DOI
10.1007/978-3-319-47467-0_3
Publisher site
See Chapter on Publisher Site

### Abstract

[In the previous chapters, the nonlinear equations of motion of an aircraft have been derived and thoroughly analyzed. In this this chapter, we present several control techniques that are commonly applied in the design of flight controls. Specifically, the proportional-integral-derivative control scheme, the linear-quadratic regulator, the optimal state-feedback \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {H}_{\infty }$$\end{document} control, and the adaptive control are discussed in detail. These techniques are illustrated through several meaningful numerical examples.]

Published: Jan 31, 2017

Keywords: Transfer Function; Adaptive Control; Control Architecture; Linear Dynamical System; Model Reference Adaptive Control