Fuzzy Modeling and Fuzzy Control:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
2006
|
| Series: | CE - Control Engineering
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | X, 416 S. Ill., graph. Darst. |
| ISBN: | 0817644911 9780817644918 |
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MARC
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| 245 | 1 | 0 | |a Fuzzy Modeling and Fuzzy Control |c Huaguang Zhang ; Derong Liu |
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| 300 | |a X, 416 S. |b Ill., graph. Darst. | ||
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| adam_text | Contents
Preface
xi
1
Fuzzy Set Theory and Rough Set Theory
1
1.1
Classical Set Theory
......................... 2
1.2
Fuzzy Set Theory
........................... 4
1.3
Rough Set Theory
........................... 26
1.4
Summary
............................... 31
Bibliography
................................ 31
2
identification of the Takagi-Sugeno Fuzzy Model
33
2.1
Introduction
.............................. 33
2.2
Description of the
Т
-S
Fuzzy Model
................. 34
2.3
An Off-Line Fuzzy Identification Algorithm
............. 37
2.4
An Identification Approach with Less Computational Burden
.... 62
2.5
Identification Approach for the Generalized
Т
-S
Fuzzy Model
... 68
2.6
Summary
............................... 75
Bibliography
................................ 75
3
Fuzzy Model Identification Based on Rough Set Data Analysis
77
3.1
Introduction
.............................. 77
3.2
Preliminaries
............................. 78
3.3
Input Structure Identification
..................... 85
3.4
Fuzzy Relation Model Identification
................. 94
3.5
ANN Modeling Based on Rough Sets
................ 101
3.6
Summary
............................... 106
Bibliography
................................ 106
4
Identification of the Fuzzy Hyperbolic Model
109
4.1
Introduction
.............................. 109
4.2
Fuzzy Hyperbolic Model
....................... 110
4.3
Generalized Fuzzy Hyperbolic Model
................ 118
vii
viii
Contents
4.4
Summary
............................... 134
Bibliography
................................ 134
5
Basic Methods for Fuzzy Inference and Control
137
5.1
Introduction
.............................. 137
5.2
Design of a Simple Fuzzy Control System
.............. 137
5.3
Parameters and Responses of the Simple Fuzzy Control System
. . . 145
5.4
Fuzzy Self-Tuning Control
...................... 148
5.5
Simulation Comparison Under Disturbances
............. 154
5.6
Robustness of a Fuzzy Self-Tuning Control System
......... 159
5.7
Automatic Generation of a Fuzzy State-Action Table
........ 159
5.8
Summary
............................... 171
Bibliography
................................ 171
6
Fuzzy Inference and Control Methods Involving
Two Kinds of Uncertainties
173
6.1
Introduction
.............................. 173
6.2
Historical Overview and Problem Description
............ 174
6.3
Definitions of Several Basic Concepts
................ 175
6.4
The Function CF and the Overall Point-Valued THFDP Algorithm
. 180
6.5
Fuzzy Decision-Making of Composite Rules
............. 182
6.6
Numerical Examples
......................... 183
6.7
Fuzzy Control Methods Involving Two Kinds of Uncertainties
... 185
6.8
Summary
............................... 192
Bibliography
................................ 192
7
Fuzzy Control Schemes via a Fuzzy Performance
Evaluator
195
7.1
Introduction
.............................. 195
7.2
Fundamentals of a Fuzzy Control Scheme via FPE
......... 196
7.3
Fuzzy Adaptive Control Scheme via FPE
.............. 197
7.4
Fuzzy State Feedback Control Scheme via FPE
........... 210
7.5
Fuzzy Control of Nonlinear Systems with Time-Delays via FPE
. . 224
7.6
Summary
............................... 239
Bibliography
................................ 239
8 Multivariable
Predictive Control Based on the
Т
-S
Fuzzy Model
241
8.1
Introduction
.............................. 241
8.2
Preliminaries
............................. 242
8.3
Equivalent Transformation of the Fuzzy Model
........... 244
8.4
Predictive Control Law for
Multivariable
Processes
......... 249
8.5
Stability of a Fuzzy Generalized Predictive Control System
..... 251
Contents ix
8.6
Other
Performance
Analysis
..................... 253
8.7
Fuzzy Generalized Predictive Control of a Boiler-Turbine Unit
. . . 255
8.8
Comparison of Fuzzy Predictive Control and Conventional Control
. 259
8.9
Robustness of Fuzzy Generalized Predictive Control System
.... 261
8.10
Fuzzy Modeling of Operators Control Rules with Application
. . . 263
8.11
Summary
............................... 269
Bibliography
................................ 270
9
Adaptive Control Methods Based on Fuzzy Basis Function Vectors
273
9.1
Introduction
.............................. 273
9.2
Notation and Preliminaries
...................... 274
9.3
Design of an Adaptive Controller Based on Fuzzy Basis Function
Vectors for
Multivariable
Square Nonlinear Systems
......... 278
9.4
Design of an Adaptive Controller Based on Fuzzy Basis Function
Vectors for
Multivariable
Nonsquare
Nonlinear Systems
...... 289
9.5
Numerical Example
.......................... 292
9.6
Summary
............................... 296
Bibliography
................................ 296
10
Controller Design Based on the Fuzzy Hyperbolic Model
299
10.1
Introduction
.............................. 299
10.2
Stable Controller Design by Pole-Placement Method
........ 300
10.3
Nonlinear H^ Optimal Controller Design
.............. 305
10.4
Hx Controller Design
........................ 309
10.5
Control of Nonlinear Time-Delay Systems with Uncertainties
. ... 312
10.6
Summary
............................... 319
Bibliography
................................ 319
11
Fuzzy Hx Filter Design for Nonlinear Discrete-Time Systems with
Multiple Time-Delays
323
11.1
Introduction
.............................. 323
11.2
Modeling of Nonlinear Systems Using the
Т
-S
Fuzzy System
. . . . 324
11.3
Fuzzy Hx Filtering Analysis Based on the
Т
-S
Fuzzy Model
. ... 328
11.4
Fuzzy Hx Filter Design
....................... 340
11.5
Simulation Example
.......................... 346
11.6
Summary
............................... 353
Bibliography
................................ 353
12
Chaotincation of the Fuzzy Hyperbolic Model
357
12.1
Introduction
.............................. 357
12.2
Chaotification by the Impulsive Control Method
........... 358
χ
Contents
12.3
Chaotification by the Inverse Optimal Control Method
....... 367
12.4
Chaotification of the Original System
................ 377
12.5
Summary
............................... 385
Bibliography
................................ 385
13
Feedforward Fuzzy Control Approach Using the Fourier Integral
389
13.1
Introduction
.............................. 389
13.2
Problem Formation
.......................... 390
13.3
System Description and Assumptions
................ 392
13.4
FSMC Feedback Control Law
.................... 393
13.5
Adaptive Feedforward Controller Design in the Fourier Space
. . . 400
13.6
Convergence Conditions of the Global Closed-Loop System
.... 404
13.7
Simulation and Comparisons
..................... 406
13.8
Summary
............................... 411
Bibliography
................................ 412
Index
413
|
| adam_txt |
Contents
Preface
xi
1
Fuzzy Set Theory and Rough Set Theory
1
1.1
Classical Set Theory
. 2
1.2
Fuzzy Set Theory
. 4
1.3
Rough Set Theory
. 26
1.4
Summary
. 31
Bibliography
. 31
2
identification of the Takagi-Sugeno Fuzzy Model
33
2.1
Introduction
. 33
2.2
Description of the
Т
-S
Fuzzy Model
. 34
2.3
An Off-Line Fuzzy Identification Algorithm
. 37
2.4
An Identification Approach with Less Computational Burden
. 62
2.5
Identification Approach for the Generalized
Т
-S
Fuzzy Model
. 68
2.6
Summary
. 75
Bibliography
. 75
3
Fuzzy Model Identification Based on Rough Set Data Analysis
77
3.1
Introduction
. 77
3.2
Preliminaries
. 78
3.3
Input Structure Identification
. 85
3.4
Fuzzy Relation Model Identification
. 94
3.5
ANN Modeling Based on Rough Sets
. 101
3.6
Summary
. 106
Bibliography
. 106
4
Identification of the Fuzzy Hyperbolic Model
109
4.1
Introduction
. 109
4.2
Fuzzy Hyperbolic Model
. 110
4.3
Generalized Fuzzy Hyperbolic Model
. 118
vii
viii
Contents
4.4
Summary
. 134
Bibliography
. 134
5
Basic Methods for Fuzzy Inference and Control
137
5.1
Introduction
. 137
5.2
Design of a Simple Fuzzy Control System
. 137
5.3
Parameters and Responses of the Simple Fuzzy Control System
. . . 145
5.4
Fuzzy Self-Tuning Control
. 148
5.5
Simulation Comparison Under Disturbances
. 154
5.6
Robustness of a Fuzzy Self-Tuning Control System
. 159
5.7
Automatic Generation of a Fuzzy State-Action Table
. 159
5.8
Summary
. 171
Bibliography
. 171
6
Fuzzy Inference and Control Methods Involving
Two Kinds of Uncertainties
173
6.1
Introduction
. 173
6.2
Historical Overview and Problem Description
. 174
6.3
Definitions of Several Basic Concepts
. 175
6.4
The Function CF and the Overall Point-Valued THFDP Algorithm
. 180
6.5
Fuzzy Decision-Making of Composite Rules
. 182
6.6
Numerical Examples
. 183
6.7
Fuzzy Control Methods Involving Two Kinds of Uncertainties
. 185
6.8
Summary
. 192
Bibliography
. 192
7
Fuzzy Control Schemes via a Fuzzy Performance
Evaluator
195
7.1
Introduction
. 195
7.2
Fundamentals of a Fuzzy Control Scheme via FPE
. 196
7.3
Fuzzy Adaptive Control Scheme via FPE
. 197
7.4
Fuzzy State Feedback Control Scheme via FPE
. 210
7.5
Fuzzy Control of Nonlinear Systems with Time-Delays via FPE
. . 224
7.6
Summary
. 239
Bibliography
. 239
8 Multivariable
Predictive Control Based on the
Т
-S
Fuzzy Model
241
8.1
Introduction
. 241
8.2
Preliminaries
. 242
8.3
Equivalent Transformation of the Fuzzy Model
. 244
8.4
Predictive Control Law for
Multivariable
Processes
. 249
8.5
Stability of a Fuzzy Generalized Predictive Control System
. 251
Contents ix
8.6
Other
Performance
Analysis
. 253
8.7
Fuzzy Generalized Predictive Control of a Boiler-Turbine Unit
. . . 255
8.8
Comparison of Fuzzy Predictive Control and Conventional Control
. 259
8.9
Robustness of Fuzzy Generalized Predictive Control System
. 261
8.10
Fuzzy Modeling of Operators'Control Rules with Application
. . . 263
8.11
Summary
. 269
Bibliography
. 270
9
Adaptive Control Methods Based on Fuzzy Basis Function Vectors
273
9.1
Introduction
. 273
9.2
Notation and Preliminaries
. 274
9.3
Design of an Adaptive Controller Based on Fuzzy Basis Function
Vectors for
Multivariable
Square Nonlinear Systems
. 278
9.4
Design of an Adaptive Controller Based on Fuzzy Basis Function
Vectors for
Multivariable
Nonsquare
Nonlinear Systems
. 289
9.5
Numerical Example
. 292
9.6
Summary
. 296
Bibliography
. 296
10
Controller Design Based on the Fuzzy Hyperbolic Model
299
10.1
Introduction
. 299
10.2
Stable Controller Design by Pole-Placement Method
. 300
10.3
Nonlinear H^ Optimal Controller Design
. 305
10.4
Hx Controller Design
. 309
10.5
Control of Nonlinear Time-Delay Systems with Uncertainties
. . 312
10.6
Summary
. 319
Bibliography
. 319
11
Fuzzy Hx Filter Design for Nonlinear Discrete-Time Systems with
Multiple Time-Delays
323
11.1
Introduction
. 323
11.2
Modeling of Nonlinear Systems Using the
Т
-S
Fuzzy System
. . . . 324
11.3
Fuzzy Hx Filtering Analysis Based on the
Т
-S
Fuzzy Model
. . 328
11.4
Fuzzy Hx Filter Design
. 340
11.5
Simulation Example
. 346
11.6
Summary
. 353
Bibliography
. 353
12
Chaotincation of the Fuzzy Hyperbolic Model
357
12.1
Introduction
. 357
12.2
Chaotification by the Impulsive Control Method
. 358
χ
Contents
12.3
Chaotification by the Inverse Optimal Control Method
. 367
12.4
Chaotification of the Original System
. 377
12.5
Summary
. 385
Bibliography
. 385
13
Feedforward Fuzzy Control Approach Using the Fourier Integral
389
13.1
Introduction
. 389
13.2
Problem Formation
. 390
13.3
System Description and Assumptions
. 392
13.4
FSMC Feedback Control Law
. 393
13.5
Adaptive Feedforward Controller Design in the Fourier Space
. . . 400
13.6
Convergence Conditions of the Global Closed-Loop System
. 404
13.7
Simulation and Comparisons
. 406
13.8
Summary
. 411
Bibliography
. 412
Index
413 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T19:49:22Z |
| indexdate | 2024-07-09T21:11:21Z |
| institution | BVB |
| isbn | 0817644911 9780817644918 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016316587 |
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| spelling | Zhang, Huaguang Verfasser aut Fuzzy Modeling and Fuzzy Control Huaguang Zhang ; Derong Liu Boston [u.a.] Birkhäuser 2006 X, 416 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier CE - Control Engineering Fuzzy-Regelung - Fuzzy-Logik Control theory Fuzzy systems Intelligent control systems Liu, Derong Verfasser aut text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2789351&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016316587&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zhang, Huaguang Liu, Derong Fuzzy Modeling and Fuzzy Control Fuzzy-Regelung - Fuzzy-Logik Control theory Fuzzy systems Intelligent control systems |
| title | Fuzzy Modeling and Fuzzy Control |
| title_auth | Fuzzy Modeling and Fuzzy Control |
| title_exact_search | Fuzzy Modeling and Fuzzy Control |
| title_exact_search_txtP | Fuzzy Modeling and Fuzzy Control |
| title_full | Fuzzy Modeling and Fuzzy Control Huaguang Zhang ; Derong Liu |
| title_fullStr | Fuzzy Modeling and Fuzzy Control Huaguang Zhang ; Derong Liu |
| title_full_unstemmed | Fuzzy Modeling and Fuzzy Control Huaguang Zhang ; Derong Liu |
| title_short | Fuzzy Modeling and Fuzzy Control |
| title_sort | fuzzy modeling and fuzzy control |
| topic | Fuzzy-Regelung - Fuzzy-Logik Control theory Fuzzy systems Intelligent control systems |
| topic_facet | Fuzzy-Regelung - Fuzzy-Logik Control theory Fuzzy systems Intelligent control systems |
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