Title page for ETD etd-4128132049721391


Type of Document Master's Thesis
Author Olds, Shana D.
URN etd-4128132049721391
Title Modeling and LQR Control of a Two-Dimensional Airfoil
Degree Master of Science
Department Mathematics
Advisory Committee
Advisor Name Title
Herdman, Terry L.
Rogers, Robert C.
Burns, John A. Committee Chair
Keywords
  • LQR
  • stability
  • pitch
  • plunge
  • flap angle
Date of Defense 1997-04-21
Availability unrestricted
Abstract
In this paper we develop a mathematical model of a

two-dimensional aeroelastic airfoil. This model is used to

design a flutter suppression controller. Flutter is a

vibration in a wing caused by airstream energy being

absorbed by the lifting surface. Flutter increases with

increasing speed. For simplicity, we consider a flat plate

in a two-dimensional flow. The model is developed in the

frequency domain and then transformed into the time

domain. The uncontrolled model is numerically simulated

using MATLAB. Linear Quadratic Regulator (LQR)

theory is used to design a state feedback controller. The

LQR control scheme consists of using a full state

feedback controller of the form u=-Kx, where K is a

control gain matrix. The goal is to use LQR theory to

supress flutter and to maintain stability of the closed loop

system.

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