Fuzzy Modeling and Fuzzy Control (Hardcover)

Huaguang Zhang, Derong Liu

  • 出版商: Birkhäuser
  • 出版日期: 2006-09-26
  • 售價: $1,350
  • 貴賓價: 9.5$1,283
  • 語言: 英文
  • 頁數: 416
  • 裝訂: Hardcover
  • ISBN: 0817644911
  • ISBN-13: 9780817644918

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Description

Fuzzy logic methodology has been proven effective in dealing with complex nonlinear systems containing uncertainties that are otherwise difficult to model. Technology based on this methodology has been applied to many real-world problems, especially in the area of consumer products. This book presents the first unified and thorough treatment of fuzzy modeling and fuzzy control, providing necessary tools for the control of complex nonlinear systems.

Based on three types of fuzzy models—the Mamdani fuzzy model, the Takagi–Sugeno fuzzy model, and the fuzzy hyperbolic model—the book addresses a number of important issues in fuzzy control systems, including fuzzy modeling, fuzzy inference, stability analysis, systematic design frameworks, robustness, and optimality. The authors develop several advanced control schemes, such as the fuzzy model-based generalized predictive control scheme, the fuzzy adaptive control scheme based on fuzzy basis function vectors, the fuzzy control scheme based on fuzzy performance evaluators, and the fuzzy sliding-mode control scheme. Careful consideration is given to questions concerning model complexity, model precision, and computing time.

In addition to being an excellent reference for electrical, computer, chemical, industrial, civil, manufacturing, mechanical and aeronautical engineers, the book may also be appropriate for classroom use in a graduate course in electrical engineering, computer engineering, and computer science. Applied mathematicians, control engineers, computer scientists, and physicists will benefit from the presentation as well.

Table of Contents

Preface  xi 
 1 Fuzzy Set Theory and Rough Set Theory
  1 (32)
 1.1 Classical Set Theory
  2 (2)
 1.2 Fuzzy Set Theory
  4 (22)
 1.3 Rough Set Theory
  26 (5)
 1.4 Summary
  31 (1)
 Bibliography
  31 (2)
 2 Identification of the TakagiSugeno Fuzzy Model
  33 (44)
 2.1 Introduction
  33 (1)
 2.2 Description of the TS Fuzzy Model
  34 (3)
 2.3 An Off-Line Fuzzy Identification Algorithm
  37 (25)
 2.4 An Identification Approach with Less Computational Burden
  62 (6)
 2.5 Identification Approach for the Generalized TS Fuzzy Model
  68 (7)
 2.6 Summary
  75 (1)
 Bibliography
  75 (2)
 3 Fuzzy Model Identification Based on Rough Set Data Analysis
  77 (32)
 3.1 Introduction
  77 (1)
 3.2 Preliminaries
  78 (7)
 3.3 Input Structure Identification
  85 (9)
 3.4 Fuzzy Relation Model Identification
  94 (7)
 3.5 ANN Modeling Based on Rough Sets
  101 (5)
 3.6 Summary
  106 (1)
 Bibliography
  106 (3)
 4 Identification of the Fuzzy Hyperbolic Model
  109 (28)
 4.1 Introduction
  109 (1)
 4.2 Fuzzy Hyperbolic Model
  110 (8)
 4.3 Generalized Fuzzy Hyperbolic Model
  118 (16)
 4.4 Summary
  134 (1)
 Bibliography
  134 (3)
 5 Basic Methods for Fuzzy Inference and Control
  137 (36)
 5.1 Introduction
  137 (1)
 5.2 Design of a Simple Fuzzy Control System
  137 (8)
 5.3 Parameters and Responses of the Simple Fuzzy Control System
  145 (3)
 5.4 Fuzzy Self-Tuning Control
  148 (6)
 5.5 Simulation Comparison Under Disturbances
  154 (5)
 5.6 Robustness of a Fuzzy Self-Tuning Control System
  159 (1)
 5.7 Automatic Generation of a Fuzzy State-Action Table
  159 (12)
 5.8 Summary
  171 (1)
 Bibliography
  171 (2)
 6 Fuzzy Inference and Control Methods Involving Two Kinds of Uncertainties
  173 (22)
 6.1 Introduction
  173 (1)
 6.2 Historical Overview and Problem Description
  174 (1)
 6.3 Definitions of Several Basic Concepts
  175 (5)
 6.4 The Function CF and the Overall Point-Valued THFDP Algorithm
  180 (2)
 6.5 Fuzzy Decision-Making of Composite Rules
  182 (1)
 6.6 Numerical Examples
  183 (2)
 6.7 Fuzzy Control Methods Involving Two Kinds of Uncertainties
  185 (7)
 6.8 Summary
  192 (1)
 Bibliography
  192 (3)
 7 Fuzzy Control Schemes via a Fuzzy Performance Evaluator
  195 (46)
 7.1 Introduction
  195 (1)
 7.2 Fundamentals of a Fuzzy Control Scheme via FPE
  196 (1)
 7.3 Fuzzy Adaptive Control Scheme via FPE
  197 (13)
 7.4 Fuzzy State Feedback Control Scheme via FPE
  210 (14)
 7.5 Fuzzy Control of Nonlinear Systems with Time-Delays via FPE
  224 (15)
 7.6 Summary
  239 (1)
 Bibliography
  239 (2)
 8 Multivariable Predictive Control Based on the TS Fuzzy Model
  241 (32)
 8.1 Introduction
  241 (1)
 8.2 Preliminaries
  242 (2)
 8.3 Equivalent Transformation of the Fuzzy Model
  244 (5)
 8.4 Predictive Control Law for Multivariable Processes
  249 (2)
 8.5 Stability of a Fuzzy Generalized Predictive Control System
  251 (2)
 8.6 Other Performance Analysis
  253 (2)
 8.7 Fuzzy Generalized Predictive Control of a Boiler-Turbine Unit
  255 (4)
 8.8 Comparison of Fuzzy Predictive Control and Conventional Control
  259 (2)
 8.9 Robustness of Fuzzy Generalized Predictive Control System
  261 (2)
 8.10 Fuzzy Modeling of Operators' Control Rules with Application
  263 (6)
 8.11 Summary
  269 (1)
 Bibliography
  270 (3)
 9 Adaptive Control Methods Based on Fuzzy Basis Function Vectors
  273 (26)
 9.1 Introduction
  273 (1)
 9.2 Notation and Preliminaries
  274 (4)
 9.3 Design of an Adaptive Controller Based on Fuzzy Basis Function Vectors for Multivariable Square Nonlinear Systems
  278 (11)
 9.4 Design of an Adaptive Controller Based on Fuzzy Basis Function Vectors for Multivariable Nonsquare Nonlinear Systems
  289 (3)
 9.5 Numerical Example
  292 (4)
 9.6 Summary
  296 (1)
 Bibliography
  296 (3)
10 Controller Design Based on the Fuzzy Hyperbolic Model  299 (24)
 10.1 Introduction
  299 (1)
 10.2 Stable Controller Design by Pole-Placement Method
  300 (5)
 10.3 Nonlinear H2 Optimal Controller Design
  305 (4)
 10.4 H. Controller Design
  309 (3)
 10.5 Control of Nonlinear Time-Delay Systems with Uncertainties
  312 (7)
 10.6 Summary
  319 (1)
 Bibliography
  319 (4)
11 Fuzzy H. Filter Design for Nonlinear Discrete-Time Systems with Multiple Time-Delays  323 (34)
 11.1 Introduction
  323 (1)
 11.2 Modeling of Nonlinear Systems Using the TS Fuzzy System
  324 (4)
 11.3 Fuzzy H. Filtering Analysis Based on the TS Fuzzy Model
  328 (12)
 11.4 Fuzzy H. Filter Design
  340 (6)
 11.5 Simulation Example
  346 (7)
 11.6 Summary
  353 (1)
 Bibliography
  353 (4)
12 Chaotification of the Fuzzy Hyperbolic Model  357 (32)
 12.1 Introduction
  357 (1)
 12.2 Chaotification by the Impulsive Control Method
  358 (9)
 12.3 Chaotification by the Inverse Optimal Control Method
  367 (10)
 12.4 Chaotification of the Original System
  377 (8)
 12.5 Summary
  385 (1)
 Bibliography
  385 (4)
13 Feedforward Fuzzy Control Approach Using the Fourier Integral  389 (24)
 13.1 Introduction
  389 (1)
 13.2 Problem Formation
  390 (2)
 13.3 System Description and Assumptions
  392 (1)
 13.4 FSMC Feedback Control Law
  393 (7)
 13.5 Adaptive Feedforward Controller Design in the Fourier Space
  400 (4)
 13.6 Convergence Conditions of the Global Closed-Loop System
  404 (2)
 13.7 Simulation and Comparisons
  406 (5)
 13.8 Summary
  411 (1)
 Bibliography
  412 (1)
Index  413