Introduction to type-2 fuzzy logic control : theory and applications / Jerry M. Mendel [and four others].

Format:

Book

Author/Creator:

Mendel, Jerry M., 1938-

Mendel, Jerry M., author.

Series:

IEEE series on computational intelligence.

IEEE Press Series on Computational Intelligence

Language:

English

Subjects (All):

Automatic control.

Fuzzy systems.

Physical Description:

1 online resource (377 p.)

Edition:

1st ed.

Place of Publication:

Hoboken, New Jersey : IEEE : Wiley, 2014.

Language Note:

English

Summary:

Written by world-class leaders in type-2 fuzzy logic control, this book offers a self-contained reference for both researchers and students. The coverage provides both background and an extensive literature survey on fuzzy logic and related type-2 fuzzy control. It also includes research questions, experiment and simulation results, and downloadable computer programs on an associated website. This key resource will prove useful to students and engineers wanting to learn type-2 fuzzy control theory and its applications.

Contents:

Cover; Title Page; Contents; Preface; Contributors; Chapter 1 Introduction; 1.1 Early History of Fuzzy Control; 1.2 What Is a Type-1 Fuzzy Set?; 1.3 What Is a Type-1 Fuzzy Logic Controller?; 1.4 What Is a Type-2 Fuzzy Set?; 1.5 What Is a Type-2 Fuzzy Logic Controller?; 1.6 Distinguishing an FLC from Other Nonlinear Controllers; 1.7 T2 FLCs versus T1 FLCs; 1.8 Real-World Applications of IT2 Mamdani FLCs; 1.8.1 Applications to Industrial Control; 1.8.2 Airplane Altitude Control; 1.8.3 Control of Mobile Robots; 1.8.4 Control of Ambient Intelligent Environments; 1.9 Book Rationale

1.10 Software and How it Can Be Accessed1.11 Coverage of the Other Chapters; Chapter 2 Introduction to Type-2 Fuzzy Sets; 2.1 Introduction; 2.2 Brief Review of Type-1 Fuzzy Sets; 2.2.1 Some Definitions; 2.2.2 Set-Theoretic Operations; 2.2.3 Alpha Cuts; 2.2.4 Compositions of T1 FSs; 2.2.5 Rules and Their MFs; 2.3 Interval Type-2 Fuzzy Sets; 2.3.1 Introduction; 2.3.2 Definitions; 2.3.3 Set-Theoretic Operations; 2.3.4 Centroid of an IT2 FS; 2.3.5 Properties of cl(k) and cr(k); 2.3.6 KM Algorithms as Well as Some Others; 2.4 General Type-2 Fuzzy Sets; 2.4.1 \alpha-Plane/zSlice Representation

2.4.2 Set-Theoretic Operations2.4.3 Centroid of a GT2 FS; 2.5 Wrapup; 2.6 Moving On; Chapter 3 Interval Type-2 Fuzzy Logic Controllers; 3.1 Introduction; 3.2 Type-1 Fuzzy Logic Controllers; 3.2.1 Introduction; 3.2.2 T1 Mamdani FLCs; 3.2.3 T1 TSK FLCs; 3.2.4 Design of T1 FLCs; 3.3 Interval Type-2 Fuzzy Logic Controllers; 3.3.1 Introduction; 3.3.2 IT2 Mamdani FLCs; 3.3.3 IT2 TSK FLCs; 3.3.4 Design of T2 FLCs; 3.4 Wu-Mendel Uncertainty Bounds; 3.5 Control Analyses of IT2 FLCs; 3.6 Determining the FOU Parameters of IT2 FLCs; 3.6.1 Blurring T1 MFs; 3.6.2 Optimizing FOU Parameters; 3.7 Moving On

Appendix 3A. Proof of Theorem 3.43A.1 Inner-Bound Set [ul(x), ur(x)]; 3A.2 Outer-Bound Set [ul(x), ur(x)]; Chapter 4 Analytical Structure of Various Interval Type-2 Fuzzy PI and PD Controllers; 4.1 Introduction; 4.2 PID, PI, and PD Controllers and Their Relationships; 4.2.1 Two Forms of PID Controller-Position Form and Incremental Form; 4.2.2 PI and PD Controllers and Their Relationship; 4.3 Components of the Interval T2 Fuzzy PI and PD Controllers; 4.4 Mamdani Fuzzy PI and PD Controllers-Configuration 1; 4.4.1 Fuzzy PI Controller Configuration

4.4.2 Method for Deriving the Analytical Structure4.5 Mamdani Fuzzy PI and PD Controllers-Configuration 2; 4.6 Mamdani Fuzzy PI and PD Controllers-Configuration 3; 4.6.1 Fuzzy PI Controller Configuration; 4.6.2 Method for Deriving the Analytical Structure; 4.7 Mamdani Fuzzy PI and PD Controllers-Configuration 4; 4.7.1 Fuzzy PI Controller Configuration; 4.7.2 Method for Deriving the Analytical Structure; 4.8 TSK Fuzzy PI and PD Controllers-Configuration 5; 4.8.1 Fuzzy PI Controller Configuration; 4.8.2 Deriving the Analytical Structure; 4.9 Analyzing the Derived Analytical Structures

4.9.1 Structural Connection with the Corresponding T1 Fuzzy PI Controller

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9781118901441

1118901444

9781118886540

1118886542

9781118901472

1118901479

OCLC:

881510068