LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2007
|
| Series: | Lecture notes in control and information sciences
351 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 204 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783540495529 3540495525 |
Staff View
MARC
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| 245 | 1 | 0 | |a LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay |c Chong Lin ... |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2007 | |
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| 336 | |b txt |2 rdacontent | ||
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-015511033 | ||
Record in the Search Index
| _version_ | 1804136318619353088 |
|---|---|
| adam_text | Contents
1. Introduction 1
1.1 History of Fuzzy Systems 1
1.2 T S Fuzzy Systems 2
1.3 The Book 5
2. Stability Analysis of T S Fuzzy Systems 9
2.1 Introduction 9
2.2 Problem Formulation 10
2.3 Stability Analysis 11
2.4 Augmented Fuzzy Weighting Dependent Lyapunov Krasovskii
Functional Method 17
2.5 Further Augmented Lyapunov Krasovskii Functional
Methods 18
2.6 Illustrative Examples 22
2.7 Conclusions and Notes 25
3. Extension to Fuzzy Large Scale Systems 27
3.1 Introduction 27
3.2 Problem Formulation 28
3.3 Stability Results 29
3.4 Illustrative Example 36
3.5 Conclusion 37
4. Stabilization Methods for T S Fuzzy Systems 39
4.1 Problem Formulation 39
4.2 Stabilization Method Using Razumikhin Theorem 40
4.3 Other Stabilization Methods 45
4.3.1 Fuzzy Weighting Dependent Approach 45
4.3.2 Using Updated Bounding Methods 45
4.3.3 Choosing Appropriate Functionals 47
4.4 Illustrative Examples 49
4.5 Conclusion 53
X Contents
5. Variable Structure Control for T S Fuzzy Systems 55
5.1 Introduction 55
5.2 Problem Formulation 56
5.3 Stabilization Results 57
5.3.1 Matched Uncertainty Case 57
5.3.2 Mismatched Uncertainty Case 62
5.4 Illustrative Example 67
5.5 Conclusion 71
6. Observer Based Fuzzy Control: Delay Independent
Method 75
6.1 Introduction 75
6.2 Problem Formulation 76
6.3 Delay Free Case 78
6.3.1 Two Step LMI Method 78
6.3.2 Single Step LMI Method 80
6.4 Time Delay Case 85
6.4.1 Bounded Real Lemma 86
6.4.2 Main Results 89
6.5 Illustrative Examples 96
6.6 Conclusion and Notes 99
7. Observer Based Fuzzy Control: Delay Dependent
Method 105
7.1 Introduction 105
7.2 Problem Formulation and Preliminaries 106
7.3 Main Result 108
7.4 Illustrative Examples 119
7.5 Conclusion 122
8. Output Tracking Control for T S Fuzzy Systems 125
8.1 Introduction 125
8.2 Problem Formulation and Preliminaries 126
8.3 .Hoc Output Tracking Control Design for Delay Free Systems. . . 129
8.4 Hoe Output Tracking Control Design for Time Delay
Systems 133
8.5 Illustrative Examples 139
8.6 Conclusion and Notes 143
9. Fuzzy Filter Design for T S Fuzzy Systems 149
9.1 Introduction 149
9.2 Fuzzy Weighting Dependent Approach to Filter Design 150
Contents XI
9.2.1 Problem Formulation 150
9.2.2 Main Results 152
9.3 General Fuzzy Filter Design 158
9.3.1 Problem Formulation 158
9.3.2 Main Results 160
9.4 Illustrative Examples 167
9.5 Conclusion 171
10. Descriptor Method for T S Fuzzy Control Systems 173
10.1 Introduction 173
10.2 Fuzzy Descriptor Systems 174
10.3 Stability Result 176
10.4 Fuzzy Controller Design 180
10.5 Illustrative Examples 183
10.6 Conclusion and Notes 188
Appendix A 189
Appendix B 191
References 193
Index 203
|
| adam_txt |
Contents
1. Introduction 1
1.1 History of Fuzzy Systems 1
1.2 T S Fuzzy Systems 2
1.3 The Book 5
2. Stability Analysis of T S Fuzzy Systems 9
2.1 Introduction 9
2.2 Problem Formulation 10
2.3 Stability Analysis 11
2.4 Augmented Fuzzy Weighting Dependent Lyapunov Krasovskii
Functional Method 17
2.5 Further Augmented Lyapunov Krasovskii Functional
Methods 18
2.6 Illustrative Examples 22
2.7 Conclusions and Notes 25
3. Extension to Fuzzy Large Scale Systems 27
3.1 Introduction 27
3.2 Problem Formulation 28
3.3 Stability Results 29
3.4 Illustrative Example 36
3.5 Conclusion 37
4. Stabilization Methods for T S Fuzzy Systems 39
4.1 Problem Formulation 39
4.2 Stabilization Method Using Razumikhin Theorem 40
4.3 Other Stabilization Methods 45
4.3.1 Fuzzy Weighting Dependent Approach 45
4.3.2 Using Updated Bounding Methods 45
4.3.3 Choosing Appropriate Functionals 47
4.4 Illustrative Examples 49
4.5 Conclusion 53
X Contents
5. Variable Structure Control for T S Fuzzy Systems 55
5.1 Introduction 55
5.2 Problem Formulation 56
5.3 Stabilization Results 57
5.3.1 Matched Uncertainty Case 57
5.3.2 Mismatched Uncertainty Case 62
5.4 Illustrative Example 67
5.5 Conclusion 71
6. Observer Based Fuzzy Control: Delay Independent
Method 75
6.1 Introduction 75
6.2 Problem Formulation 76
6.3 Delay Free Case 78
6.3.1 Two Step LMI Method 78
6.3.2 Single Step LMI Method 80
6.4 Time Delay Case 85
6.4.1 Bounded Real Lemma 86
6.4.2 Main Results 89
6.5 Illustrative Examples 96
6.6 Conclusion and Notes 99
7. Observer Based Fuzzy Control: Delay Dependent
Method 105
7.1 Introduction 105
7.2 Problem Formulation and Preliminaries 106
7.3 Main Result 108
7.4 Illustrative Examples 119
7.5 Conclusion 122
8. Output Tracking Control for T S Fuzzy Systems 125
8.1 Introduction 125
8.2 Problem Formulation and Preliminaries 126
8.3 .Hoc Output Tracking Control Design for Delay Free Systems. . . 129
8.4 Hoe Output Tracking Control Design for Time Delay
Systems 133
8.5 Illustrative Examples 139
8.6 Conclusion and Notes 143
9. Fuzzy Filter Design for T S Fuzzy Systems 149
9.1 Introduction 149
9.2 Fuzzy Weighting Dependent Approach to Filter Design 150
Contents XI
9.2.1 Problem Formulation 150
9.2.2 Main Results 152
9.3 General Fuzzy Filter Design 158
9.3.1 Problem Formulation 158
9.3.2 Main Results 160
9.4 Illustrative Examples 167
9.5 Conclusion 171
10. Descriptor Method for T S Fuzzy Control Systems 173
10.1 Introduction 173
10.2 Fuzzy Descriptor Systems 174
10.3 Stability Result 176
10.4 Fuzzy Controller Design 180
10.5 Illustrative Examples 183
10.6 Conclusion and Notes 188
Appendix A 189
Appendix B 191
References 193
Index 203 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| id | DE-604.BV022301046 |
| illustrated | Illustrated |
| index_date | 2024-07-02T16:55:03Z |
| indexdate | 2024-07-09T20:54:30Z |
| institution | BVB |
| isbn | 9783540495529 3540495525 |
| language | English |
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| owner_facet | DE-706 DE-83 |
| physical | XI, 204 S. graph. Darst. 235 mm x 155 mm |
| publishDate | 2007 |
| publishDateSearch | 2007 |
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| publisher | Springer |
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| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay Chong Lin ... Berlin [u.a.] Springer 2007 XI, 204 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 351 Matrizenungleichung (DE-588)4362530-7 gnd rswk-swf Lineare Ungleichung (DE-588)4504621-9 gnd rswk-swf Fuzzy-Regelsystem (DE-588)4728095-5 gnd rswk-swf Zeitverzögertes System (DE-588)4780926-7 gnd rswk-swf Fuzzy-Regelsystem (DE-588)4728095-5 s Zeitverzögertes System (DE-588)4780926-7 s Lineare Ungleichung (DE-588)4504621-9 s Matrizenungleichung (DE-588)4362530-7 s DE-604 Lin, Chong 1967- Sonstige (DE-588)123804434 oth Lecture notes in control and information sciences 351 (DE-604)BV005848579 351 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015511033&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay Lecture notes in control and information sciences Matrizenungleichung (DE-588)4362530-7 gnd Lineare Ungleichung (DE-588)4504621-9 gnd Fuzzy-Regelsystem (DE-588)4728095-5 gnd Zeitverzögertes System (DE-588)4780926-7 gnd |
| subject_GND | (DE-588)4362530-7 (DE-588)4504621-9 (DE-588)4728095-5 (DE-588)4780926-7 |
| title | LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay |
| title_auth | LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay |
| title_exact_search | LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay |
| title_exact_search_txtP | LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay |
| title_full | LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay Chong Lin ... |
| title_fullStr | LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay Chong Lin ... |
| title_full_unstemmed | LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay Chong Lin ... |
| title_short | LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay |
| title_sort | lmi approach to analysis and control of takagi sugeno fuzzy systems with time delay |
| topic | Matrizenungleichung (DE-588)4362530-7 gnd Lineare Ungleichung (DE-588)4504621-9 gnd Fuzzy-Regelsystem (DE-588)4728095-5 gnd Zeitverzögertes System (DE-588)4780926-7 gnd |
| topic_facet | Matrizenungleichung Lineare Ungleichung Fuzzy-Regelsystem Zeitverzögertes System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015511033&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT linchong lmiapproachtoanalysisandcontroloftakagisugenofuzzysystemswithtimedelay |