Stability analysis and design for nonlinear singular systems:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2013
|
| Series: | Lecture notes in control and information sciences
435 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | IX, 210 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 3642321437 9783642321436 |
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| 245 | 1 | 0 | |a Stability analysis and design for nonlinear singular systems |c Chunyu Yang, Qingling Zhang, and Linna Zhou |
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Record in the Search Index
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IMAGE 1
CONTENTS
1 INTRODUCTION I
1.1 M O D E L S F O R S I N G U L A R S Y S T E M S 1
1.2 S I N G U L A R S Y S T E M S 5
1.2.1 L I N E A R S I N G U L A R S Y S T E M S 6
1.2.2 N O N L I N E A R S I N G U L A R S Y S T E M S 7
1.3 S I N G U L A R L Y P E R T U R B E D S Y S T E M S 8
1.4 O V E R V I E W O F T H E M O N O G R A P H 9
2 PRACTICAL STABILITY ANALYSIS AND SYNTHESIS FOR NONLINEAR SINGULAR
SYSTEMS 13
2.1 I N T R O D U C T I O N 1 3
2 . 2 P R E L I M I N A R I E S 14
2 . 3 P R A C T I C A L S T A B I L I T Y A N A L Y S I S F O R N O N L
I N E A R S I N G U L A R S Y S T E M S 16
2 . 3 . 1 P R O B L E M F O R M A T I O N 16
2 . 3 . 2 M A I N R E S U L T S 17
2 . 3 . 3 E X A M P L E 2 0
2 . 3 . 4 C O N C L U D I N G R E M A R K S 2 4
2 . 4 P R A C T I C A L S T A B I L I T Y A N A L Y S I S F O R N O N L
I N E A R S I N G U L A R S Y S T E M S
W I T H D I S T U R B A N C E I N P U T 2 5
2 . 4 . 1 P R O B L E M F O R M A T I O N 2 5
2 . 4 . 2 M A I N R E S U L T S 2 6
2 . 4 . 3 E X A M P L E 2 8
2 . 4 . 4 C O N C L U D I N G R E M A R K S 3 4
2 . 5 P R A C T I C A L S T A B I L I T Y O F S I N G U L A R S Y S T E
M S W I T H T I M E D E L A Y S
IN T E R M S O F T W O M E A S U R E M E N T S 3 4
2.5.1 P R O B L E M F O R M A T I O N 3 4
2 . 5 . 2 M A I N R E S U L T S 3 5
2 . 5 . 3 E X A M P L E 3 8
2 . 5 . 4 C O N C L U D I N G R E M A R K 4 0
2 . 6 P R A C T I C A L S T A B I L I Z A T I O N F O R N O N L I N E A
R S I N G U L A R S Y S T E M S 4 0
2.6.1 P R O B L E M F O R M A T I O N 4 0
2 . 6 . 2 C O M P A R I S O N P R I N C I P L E 4 2
HTTP://D-NB.INFO/1023815346
IMAGE 2
VIII
CONTENTS
2.6.3 MAIN RESULTS 4 3
2.6.4 CONCLUDING REMARK 4 7
3 STRONGLY ABSOLUTE STABILITY ANALYSIS FOR LUR'E SINGULAR SYSTEMS 4 9
3.1 INTRODUCTION 4 9
3.2 PRELIMINARIES 5 0
3.2.1 BASIC DEFINITIONS 5 0
3.2.2 BASIC L E M M A S 5 2
3.2.3 POSITIVE REALNESS O F SINGULAR SYSTEMS 5 4
3.3 CIRCLE CRITERION: SISO CASE 5 6
3.3.1 PROBLEM FORMATION 5 6
3.3.2 MAIN RESULTS 5 7
3.3.3 EXAMPLES 6 4
3.3.4 CONCLUDING REMARKS 6 6
3.4 CIRCLE CRITERION: M I M O CASE 6 7
3.4.1 PROBLEM FORMATION 6 7
3.4.2 MAIN RESULTS 6 7
3.4.3 EXAMPLES 7 2
3.4.4 CONCLUDING REMARKS 7 3
3.5 POPOV CRITERION 7 3
3.5.1 PROBLEM FORMATION 7 3
3.5.2 MAIN RESULTS 7 4
3.5.3 EXAMPLE 8 2
3.5.4 CONCLUDING REMARKS 8 4
3.6 POPOV-LIKE CRITERION 85
3.6.1 PROBLEM FORMULATION 85
3.6.2 GENERALIZED L U R ' E LYAPUNOV FUNCTION 85
3.6.3 MAIN RESULTS 87
3.6.4 EXAMPLES 9 6
3.6.5 CONCLUDING REMARKS 9 9
4 INPUT-TO-STATE STABILITY ANALYSIS AND DESIGN FOR LUR'E SINGULAR
SYSTEMS 101
4.1 INTRODUCTION 101
4.2 PRELIMINARIES 102
4.3 INPUT-TO-STATE STABILITY ANALYSIS AND DESIGN FOR A CLASS O F L U R '
E SINGULAR SYSTEMS 103
4.3.1 PROBLEM FORMULATION 103
4.3.2 MAIN RESULTS 104
4.3.3 EXAMPLE 110
4.3.4 CONCLUDING REMARK I L L
4.4 INPUT-TO-STATE STABILITY FOR L U R ' E SINGULAR SYSTEMS WITH
UNSTABLE LINEAR SUBSYSTEMS 112
4.4.1 PROBLEM FORMULATION 112
4.4.2 M A I N RESULTS 113
IMAGE 3
CONTENTS
IX
4.4.3 EXAMPLE 122
4.4.4 CONCLUDING REMARK 123
5 OBSERVER DESIGN FOR NONLINEAR SINGULAR SYSTEMS 125
5.1 INTRODUCTION 125
5.2 OBSERVER DESIGN FOR A CLASS O F NONLINEAR SINGULAR SYSTEMS 127
5.2.1 PRELIMINARIES 127
5.2.2 MAIN RESULTS 128
5.2.3 EXAMPLE 135
5.2.4 CONCLUDING R E M A R K 137
5.3 HOC OBSERVER DESIGN FOR SINGULAR SYSTEMS WITH SLOPE-RESTRICTED
NONLINEARITIES 138
5.3.1 PRELIMINARIES 138
5.3.2 MAIN RESULTS 139
5.3.3 EXAMPLES 147
5.3.4 CONCLUDING REMARKS 153
6 ABSOLUTE STABILITY O F LUR'E SINGULARLY PERTURBED SYSTEMS 155
6.1 INTRODUCTION 155
6.2 PRELIMINARIES 157
6.3 CIRCLE CRITERION 158
6.3.1 PROBLEM FORMULATION 158
6.3.2 MAIN RESULTS 159
6.3.3 EXAMPLE 161
6.4 POPOV CRITERION 163
6.4.1 PROBLEM FORMULATION 163
6.4.2 A L U R ' E LYAPUNOV FUNCTION FOR L U R ' E SPSS 164
6.4.3 M A I N RESULTS 167
6.4.4 EXAMPLES 170
6.5 CONCLUDING REMARKS 173
7 MULTI-OBJECTIVE CONTROL FOR T-S FUZZY SINGULARLY PERTURBED SYSTEMS 175
7.1 INTRODUCTION 175
7.2 PROBLEM FORMULATION 177
7.3 MAIN RESULTS 180
7.4 EXAMPLE 189
7.4.1 CASE I: D IS THE OPEN LEFT-HALF PLANE 191
7.4.2 CASE II: D IS A CONIC SECTOR REGION 191
7.5 CONCLUDING REMARKS 195
REFERENCES 197
INDEX 2 0 9 |
| any_adam_object | 1 |
| author | Yang, Chunyu Zhang, Qingling Zhou, Linna |
| author_facet | Yang, Chunyu Zhang, Qingling Zhou, Linna |
| author_role | aut aut aut |
| author_sort | Yang, Chunyu |
| author_variant | c y cy q z qz l z lz |
| building | Verbundindex |
| bvnumber | BV040458884 |
| classification_rvk | SI 845 |
| ctrlnum | (OCoLC)812341312 (DE-599)DNB1023815346 |
| dewey-full | 629.8312 515.352 |
| dewey-hundreds | 600 - Technology (Applied sciences) 500 - Natural sciences and mathematics |
| dewey-ones | 629 - Other branches of engineering 515 - Analysis |
| dewey-raw | 629.8312 515.352 |
| dewey-search | 629.8312 515.352 |
| dewey-sort | 3629.8312 |
| dewey-tens | 620 - Engineering and allied operations 510 - Mathematics |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| series2 | Lecture notes in control and information sciences |
| spelling | Yang, Chunyu Verfasser aut Stability analysis and design for nonlinear singular systems Chunyu Yang, Qingling Zhang, and Linna Zhou Berlin [u.a.] Springer 2013 IX, 210 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 435 Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s Nichtlineares System (DE-588)4042110-7 s Stabilität (DE-588)4056693-6 s DE-604 Zhang, Qingling Verfasser aut Zhou, Linna Verfasser aut Erscheint auch als Online-Ausgabe 978-3-642-32144-3 Lecture notes in control and information sciences 435 (DE-604)BV005848579 435 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4068494&prov=M&dok%5Fvar=1&dok%5Fext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025306377&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yang, Chunyu Zhang, Qingling Zhou, Linna Stability analysis and design for nonlinear singular systems Lecture notes in control and information sciences Nichtlineares System (DE-588)4042110-7 gnd Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Stabilität (DE-588)4056693-6 gnd |
| subject_GND | (DE-588)4042110-7 (DE-588)4229517-8 (DE-588)4056693-6 |
| title | Stability analysis and design for nonlinear singular systems |
| title_auth | Stability analysis and design for nonlinear singular systems |
| title_exact_search | Stability analysis and design for nonlinear singular systems |
| title_full | Stability analysis and design for nonlinear singular systems Chunyu Yang, Qingling Zhang, and Linna Zhou |
| title_fullStr | Stability analysis and design for nonlinear singular systems Chunyu Yang, Qingling Zhang, and Linna Zhou |
| title_full_unstemmed | Stability analysis and design for nonlinear singular systems Chunyu Yang, Qingling Zhang, and Linna Zhou |
| title_short | Stability analysis and design for nonlinear singular systems |
| title_sort | stability analysis and design for nonlinear singular systems |
| topic | Nichtlineares System (DE-588)4042110-7 gnd Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Stabilität (DE-588)4056693-6 gnd |
| topic_facet | Nichtlineares System Differential-algebraisches Gleichungssystem Stabilität |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4068494&prov=M&dok%5Fvar=1&dok%5Fext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025306377&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT yangchunyu stabilityanalysisanddesignfornonlinearsingularsystems AT zhangqingling stabilityanalysisanddesignfornonlinearsingularsystems AT zhoulinna stabilityanalysisanddesignfornonlinearsingularsystems |