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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