Gain scheduling of aircraft pitch attitude and control of discrete, affine, linear parametrically varying

127 Pages·2017·1.96 MB·English

Iowa State University Capstones, Theses and
Retrospective Theses and Dissertations
Dissertations
2002
Gain scheduling of aircraft pitch attitude and
control of discrete, affine, linear parametrically
varying systems
Zhe Lin
Iowa State University
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Commons
Recommended Citation
Lin, Zhe, "Gain scheduling of aircraft pitch attitude and control of discrete, affine, linear parametrically varying systems " (2002).
Retrospective Theses and Dissertations. 530.
https://lib.dr.iastate.edu/rtd/530
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Gain scheduling of aircraft pitch attitude
and control of discrete, affine, linear
parametrically varying systems
by
Zhe Lin
A dissertation submitted to the graduate faculty
in partial fulfillment of the requirements for the degree of
DOCTOR OF PHILOSOPHY
Major: Electrical Engineering (Control Systems)
Program of Study Committee:
Mustafa Khammash, Major Professor
Murti V. Salapaka
Ping Lu
Vijay Vittal
Clifford Bergman
Iowa State University
Ames, Iowa
2002
Copyright © Zhe Lin, 2002. All rights reserved.
UMI Number: 3073465
Copyright 2002 by
Lin, Zhe
All rights reserved.
®
UMI
UMI Microform 3073465
Copyright 2003 by ProQuest Information and Learning Company.
All rights reserved. This microform edition is protected against
unauthorized copying under Title1 7, United States Code.
ProQuest Information and Learning Company
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P.O. Box 1346
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ii
Graduate College
Iowa State University
This is to certify that the doctoral dissertation of
Zhe Lin
has met the dissertation requirements of Iowa State University
Signature was redacted for privacy.
Major Professor
Signature was redacted for privacy.
F r the M• a.jo r Program
iii
TABLE OF CONTENTS
LIST OF TABLES vii
LIST OF FIGURES viii
ACKNOWLEDGMENTS xi
ABSTRACT xii
CHAPTER 1 INTRODUCTION 1
1.1 Gain-Scheduled Control 1
1.2 Research Addressed in this Thesis 4
CHAPTER 2 MATHEMATICAL BACKGROUND 7
2.1 Norms of Signals 7
2.2 Linear Fractional Transformations 8
2.3 Woo Synthesis 9
2.4 Linear Matrix Inequalities 11
iv
PART I AIRCRAFT PITCH ATTITUDE GAIN
SCHEDULING DESIGNS 14
CHAPTER 3 AIRCRAFT MODEL 15
3.1 Equations of Motion 15
3.2 Longitudinal Dynamics and Performance Specifications 18
3.2.1 Longitudinal dynamics 18
3.2.2 Performance specifications 19
3.3 Design Strategy 21
CHAPTER 4 CLASSICAL GAIN SCHEDULING DESIGN 23
4.1 Pointwise Linear Robust Controller Design 23
4.1.1 Design consideration and rationale 24
4.1.2 Model reduction and feedback path implementation 31
4.2 Gain-Scheduled Controller Design 34
4.2.1 Controller parameter adjustment 35
4.2.2 Scheduling of controller parameters 38
4.2.3 Simulations of the gain-scheduled controller 40
4.3 Summary 41
CHAPTER 5 LPV GAIN SCHEDULING 46
5.1 SQLF-based LPV Control Synthesis 46
5.1.1 LPV control synthesis 46
5.1.2 Computational issue 48
V
5.2 LPV Controller Design 49
5.2.1 LPV design setup and closed-loop configuration 49
5.2.2 Closed-loop simulations and performance analysis 52
5.3 Constructing an LFT Model for the LPV Controller 55
5.4 Summary 57
CHAPTER 6 DESIGN SUMMARY AND FUTURE WORK .... 60
6.1 General Summary 60
6.2 Comparisons of Different Design Methods 62
6.3 Suggested Future Work 65
PART II CONTROL OF DISCRETE, AFFINE, LINEAR
PARAMETRICALLY VARYING SYSTEMS 66
CHAPTER 7 PERFORMANCE ANALYSIS 67
7.1 Discrete, Affine, Linear Parametrically Varying Systems 67
7.2 Notations 69
7.3 Performance Analysis 70
7.4 Summary 77
CHAPTER 8 CONTROL SYNTHESIS 78
8.1 Problem Formulation 78
8.2 Problem Solution 81
8.3 Future Research 87
vi
APPENDIX A EXAMPLE PLANT DATA 88
APPENDIX B INFORMATION OF THE ONE HUNDRED
OPERATING POINTS 89
APPENDIX C LPV CONTROL SYNTHESIS
95
APPENDIX D AUXILIARY RESULTS 100
BIBLIOGRAPHY 105