Pole assignment for uncertain systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Baldock
Research Studies Press
1999
|
| Series: | Control Systems Centre <Manchester>: UMIST Control Systems Centre series
6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXI, 237 S. graph. Darst. |
| ISBN: | 086380246X |
Staff View
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Record in the Search Index
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| adam_text | IMAGE 1
POLE ASSIGNMENT
FOR UNCERTAIN SYSTEMS
MEHMET TURAN SOEYLEMEZ CONTROL SYSTEMS CENTRE, UMIST, UK
RESEARCH STUDIES PRESS LTD. BAIDOCK, HERTFORDSHIRE, ENGLAND
IMAGE 2
CONTENTS
EDITORIAL FOREWORD VII
PREFACE IX
ACKNOWLEDGEMENTS X
LIST OF FIGURES XV
NOTATION XIX
1 INTRODUCTION 1
1.1 PRELIMINARIES 1
1.1.1 POLES AND ZEROS OF MIMO SYSTEMS 1
1.1.2 POLE ASSIGNMENT AND DESIRED LOCATIONS OF POLES . . .. 3
1.2 FORMULATION OF THE POLE ASSIGNMENT PROBLEM 4
1.3 PARAMETRIC UNCERTAIN SYSTEMS AND POLE ASSIGNMENT 10
1.4 A FEW WORDS ON COMPUTER ALGEBRA 14
1.5 THE STRUCTURE OF THIS BOOK 16
2 A BRIEF HISTORY OF POLE ASSIGNMENT 19
2.1 INTRODUCTION 19
2.2 EARLY DEVELOPMENTS 21
2.3 STATE-FEEDBACK METHODS 21
2.4 CONSTANT OUTPUT-FEEDBACK METHODS 23
2.5 DYNAMIC OUTPUT-FEEDBACK METHODS 25
2.6 MISCELLANEOUS RESULTS 25
2.7 USE OF GEOMETRIE ALGEBRA AND GENERIC RESULTS 26
2.8 EIGENSTRUCTURE ASSIGNMENT METHODS 28
2.9 DECOUPLING METHODS 29
2.10 ROBUST POLE ASSIGNMENT 30
XI
IMAGE 3
X LL
CONTENTS
3 DYADIC STATE-FEEDBACK POLE ASSIGNMENT METHODS 33
3.1 INTRODUCTION 33
3.2 THE CONTROLLABLE STANDARD FORM AND POLE ASSIGNMENT 36
3.3 ACKERMANN S FORMULA 44
3.4 THE MAPPING APPROACH 46
3.5 THE TRANSFER FUNCTION MATRIX APPROACH 49
3.6 THE SPECTRAL APPROACH 51
3.7 THE USE OF CLOSED-LOOP EIGENVECTORS 55
3.8 A BRIEF COMPARISON OF DYADIC METHODS 58
3.9 SUMMARY 61
4 FULL-RANK STATE-FEEDBACK POLE ASSIGNMENT METHODS 63
4.1 INTRODUCTION 63
4.2 CLOSING THE LOOP TWICE 64
4.3 USING THE CONTROLLABLE STANDARD FORM 66
4.4 EIGENVECTOR ASSIGNMENT METHODS 73
4.4.1 REAL EIGENVALUES CASE 74
4.4.2 COMPLEX EIGENVALUES CASE 77
4.5 SYLVESTER S EQUATION AND POLE ASSIGNMENT 84
4.6 A GENERALISED MAPPING APPROACH TO THE POLE ASSIGNMENT PROB LEM 88
4.7 SUMMARY 93
5 POLE ASSIGNMENT USING OUTPUT-FEEDBACK 95
5.1 INTRODUCTION 95
5.2 A GENERALISED MATRIX INVERSE APPROACH 96
5.3 USE OF DYNAMIC COMPENSATORS 104
5.4 SUMMARY 113
6 PARTIAL POLE ASSIGNMENT 115
6.1 INTRODUCTION 115
6.2 DYADIC METHODS 116
6.3 FULL-RANK METHODS 120
6.3.1 GENERALISED MAPPING APPROACH AND PARTIAL POLE PLACEMENT 122
6.3.2 EIGENVECTOR ASSIGNMENT METHODS FOR PARTIAL POLE PLACEMENT 123
6.3.3 TWO-STEP ALGORITHMS 126
6.4 A MULTI-STEP TECHNIQUE FOR PARTIAL POLE ASSIGNMENT 131
6.4.1 POLE RETENTION 132
6.4.2 THE METHOD 137
6.5 A ROOT-LOCUS APPROACH TO PARTIAL POLE ASSIGNMENT 148
6.6 GENERALISED HERMITE-BIEHLER THEOREM 150
IMAGE 4
CONTENTS XIII
6.7 SUMMARY 158
7 ROBUST CONTROLLER DESIGN 161
7.1 INTRODUCTION 161
7.2 ANALYSIS OF ROBUSTNESS IN UNCERTAIN SYSTEMS 162
7.2.1 KHARITONOV S THEOREM 163
7.2.2 THE EDGE THEOREM 164
7.2.3 THE VALUE-SET CONCEPT 166
7.2.4 THE POLE-COLOURING APPROACH 171
7.3 ROBUST POLE ASSIGNMENT CONTROLLER DESIGN USING GAS 174
7.3.1 WHAT ARE GENETIC ALGORITHMS? 176
7.3.2 A DESIGN METHODOLOGY FOR ROBUST POLE ASSIGNMENT . . 181 7.4
SATISFYING FURTHER DESIGN REQUIREMENTS 186
7.4.1 IMPROVING THE REAL STABILITY RADIUS 187
7.4.2 ZERO ASSIGNMENT 193
7.5 SUMMARY 198
A PROOFS 199
A.L PROOF OF THEOREM 3.2 199
A.2 PROOF OF THEOREM 4.1 201
A.3 PROOF OF LEMMA 5.1 206
B POSSIBLE COST FUNCTIONS FOR POLE COLOURING 209
B.L MINIMUM PERTURBATION BASED COST FUNCTIONS 209
B.2 SETTLING-TIME BASED COST FUNCTIONS 210
B.3 RISE-TIME BASED COST FUNCTIONS 212
B.4 DAMPING-RATIO BASED COST FUNCTIONS 214
B.5 A COMPOSITE COST FUNCTION 215
REFERENCES 217
INDEX 234
|
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| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
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| isbn | 086380246X |
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| physical | XXI, 237 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
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| publisher | Research Studies Press |
| record_format | marc |
| series | Control Systems Centre <Manchester>: UMIST Control Systems Centre series |
| series2 | Control Systems Centre <Manchester>: UMIST Control Systems Centre series |
| spelling | Söylemez, Mehmet Turan Verfasser aut Pole assignment for uncertain systems Mehmet Turan Söylemez Baldock Research Studies Press 1999 XXI, 237 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Control Systems Centre <Manchester>: UMIST Control Systems Centre series 6 Control theory Linear control systems Pole assignment Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd rswk-swf Polvorgabe (DE-588)4207122-7 gnd rswk-swf Polvorgabe (DE-588)4207122-7 s Nichtlineare Kontrolltheorie (DE-588)4475218-0 s DE-604 Control Systems Centre <Manchester>: UMIST Control Systems Centre series 6 (DE-604)BV009763376 6 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008712914&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Söylemez, Mehmet Turan Pole assignment for uncertain systems Control Systems Centre <Manchester>: UMIST Control Systems Centre series Control theory Linear control systems Pole assignment Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd Polvorgabe (DE-588)4207122-7 gnd |
| subject_GND | (DE-588)4475218-0 (DE-588)4207122-7 |
| title | Pole assignment for uncertain systems |
| title_auth | Pole assignment for uncertain systems |
| title_exact_search | Pole assignment for uncertain systems |
| title_full | Pole assignment for uncertain systems Mehmet Turan Söylemez |
| title_fullStr | Pole assignment for uncertain systems Mehmet Turan Söylemez |
| title_full_unstemmed | Pole assignment for uncertain systems Mehmet Turan Söylemez |
| title_short | Pole assignment for uncertain systems |
| title_sort | pole assignment for uncertain systems |
| topic | Control theory Linear control systems Pole assignment Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd Polvorgabe (DE-588)4207122-7 gnd |
| topic_facet | Control theory Linear control systems Pole assignment Nichtlineare Kontrolltheorie Polvorgabe |
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