Active damping of vibrations on space station freedom using Linear Quadratic Gaussian control and H_x001B_p00_x001B_s control.

110 Pages·1.3 MB·en_US

by  McClusky, Jacqueline R.;Burl, Jeff B.

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Active Damping of Vibrations on Space Station Freedom
Using Linear Quadratic Gaussian Control and Hoo Control
Jacqueline R. McClusky
Lieutenant, United^ States Navy
B.S., United States Naval Academy, 1984
Submitted in partial fulfillment of the
requirements for the degree of
MASTER OF SCIENCE IN ELECTRICAL ENGINEERING
from the
NAVAL POSTGRADUATE SCHOOL
December 1991
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jni£ (Include Security Classification) ACTIVE DAMPING OF VIBRATIONS ON SPACE STATION
REEDOM USING LINEAR QUADRATIC GAUSSIAN CONTROL AND B» CONTROL
PERSONAL AUTHOR(S)
C. CLUSKY, Jacqueline R
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aster's Thesis FROM TO 1991 December 100
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FIELD GRCOOUSPATI CODESSUB-GROUP a18ctSUiBvJEeCT TdEaRMmSp{iCnongti;nue Honoorevcerosentifrneocelss;aryvanidbirdeanttifiy obynb;locklniumnbeera)r
quadratic Gaussian control
ABSTRACT {Continue on reverse if necessary and identify by block number)
ctive damping of moda1 oscillation is critical to the success of future
ersions of Space Station Freedom. Vibratory motion may be induced by
xternal disturbances such as solar and gravity gradient torques, extra
ehicular and experimental activity, aerodynamic forces, the earth's
agnetic fieId, and space shuttie docking. Linear proof mass actuators
an provide control on the space station to achieve this damping effect,
wo control algorithms Linear Quadratic Gaussian control and Hoo control
,
re applied to a model of Space Station Freedom, The results compare
he robustness stability and performance of the Space Station under the
ffects of each of the two control algorithms.
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JRL, Jeffrey B. 408-646-2390 EC/B]
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THESIS
ACTIVE DAMPING OF VIBRATIONS ON SPACE
STATION FREEDOM USING LINEAR
QUADRATIC GAUSSIAN CONTROL AND Hoo CONTROL
by
Jacqueline R. McClusky
December 1991
Thesis Advisor: Jeffrey B. Burl
Approved for public release; distribution is unlimited

ABSTRACT
Active damping of modal oscillation is critical to the
success of future versions of Space Station Freedom.
Vibratory motion may be induced by external disturbances such
as solar and gravity gradient torques, extra vehicular and
experimental activity, aerodynamic forces, the earth's
magnetic field, and space shuttle docking. Linear proof mass
actuators can provide control on the space station to achieve
this damping effect. Two control algorithms, Linear Quadratic
Gaussian control and Hoo control are applied to a model of
Space Station Freedom. The results compare the robustness,
stability, and performance of the Space Station under the
effects of each of the two control algorithms.
Ill
. .
t/
TABLE OF CONTENTS
I INTRODUCTION 1
A. OVERVIEW 1
B. SPACE STATION FREEDOM AND CONTROL SYSTEMS .... 2
C. VIBRATION SUPPRESSION ON SPACE STATION
FREEDOM
4
D. ORGANIZATION OF THESIS 5
II CONTROL SYSTEM DESIGNS 6
A. CONTROL ALGORITHMS 10
1. The Linear Quadratic Regulator 10
2 The Kalman Filter 12
.
3 Linear Quadratic Gaussian Control 14
.
4 Hoo Control 16
.
B. REDUCED ORDER MODELLING 2
III. ANALYSIS AND SIMULATION 22
A. FULL ORDER CONTROLLERS 22
1 Performance Measure 22
.
2 Open Loop System 24
.
3. Linear Quadratic Gaussian Controller 25
a. Simulation of the Linear 25
Quadratic Regular
b. Simulation of Kalman Filter .....33
4 Hoo Controller 38
.
B. REDUCED ORDER CONTROLLERS 45
1. Linear Quadratic Gaussian Controller 45
2. Hoo Controller 48
C. A COMPARISON OF LQG AND Hoc CONTROLLERS 49
iv