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Book Cover
E-book
Author Mendel, Jerry M., 1938-

Title Introduction to type-2 fuzzy logic control : theory and applications / Jerry M. Mendel, Hani Hagras, Woei-Wan Tan, William W. Melek, Hao Ying
Published Hoboken, New Jersey : IEEE Press, John Wiley & Sons, [2014]
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Description 1 online resource
Series IEEE Press series on computational intelligence
IEEE series on computational intelligence.
Contents 880-01 Introduction -- 2. Introduction to Type-2 Fuzzy Sets -- 3. Interval Type-2 Fuzzy Logic Controllers -- 4. Analytical Structure of Various Interval Type-2 Fuzzy PI and PD Controllers 5. Analysis of Simplified Interval Type-2 Fuzzy PI and PD Controllers -- 6. On the Design ot IT2 TSK FLCs -- 7. Looking into the Future
880-01/(S Machine generated contents note: 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 Accessed -- 1.11. Coverage of the Other Chapters -- 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. α-Plane/zSlice Representation -- 2.4.2. Set-Theoretic Operations -- 2.4.3. Centroid of a GT2 FS -- 2.5. Wrapup -- 2.6. Moving On -- 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 3.4 -- 3A.1. Inner-Bound Set [ul(x), u-r(x)] -- 3A.2. Outer-Bound Set [u-l(x), ur(x)] -- 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 Structure -- 4.5. Mamdani Fuzzy PI and PD Controllers---Configuration 2 -- 4.6. Mamdani Fuzzy PI and PD Controllers---Configurations 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 -- 4.9.2. Characteristics of the Variable Gains of the T2 Fuzzy PI Controller -- 4.10. Design Guidelines for the T2 Fuzzy PI and PD Controllers -- 4.10.1. Determination of θ1 and θ2 Values -- 4.10.2. Determination of the Remaining Nine Parameter Values -- 4.11. Summary -- Appendix 4A -- 5. Analysis of Simplified Interval Type-2 Fuzzy PI and PD Controllers -- 5.1. Introduction -- 5.2. Simplified Type-2 FLCs: Design, Computation, and Performance -- 5.2.1. Structure of a Simplified IT2 FLC -- 5.2.2. Output Computation -- 5.2.3. Computational Cost -- 5.2.4. Genetic Tuning of FLC -- 5.2.5. Performance -- 5.2.6. Discussions -- 5.3. Analytical Structure of Interval T2 Fuzzy PD and PI Controller -- 5.3.1. Configuration of Interval T2 Fuzzy PD and PI Controller -- 5.3.2. Analysis of the Karnik--Mendel Type-Reduced IT2 Fuzzy PD Controller -- 5.3.3. Analysis of the IT2 Fuzzy PD Controller -- 5.4. Conclusions -- 6. On the Design of IT2 TSK FLCs -- 6.1. Introduction -- 6.2. Preliminaries -- 6.2.1. Discrete T1 TSK FLC: Rules and Firing Level -- 6.2.2. Continuous Tl TSK FLC: Rules and Firing Level -- 6.2.3. T1 TSK FLC Output -- 6.2.4. Discrete IT2 TSK FLC: Rules and Firing Interval -- 6.2.5. Continuous IT2 TSK FLC: Rules and Firing Interval -- 6.2.6. IT2 TSK FLC Output -- 6.3. Novel Inference Engine for Control Design -- 6.4. Stability of IT2 TSK FLCs -- 6.4.1. Stability of Discrete IT2 TSK FLC -- 6.4.2. Stability of Continuous IT2 TSK FLC -- 6.4.3. Examples -- 6.5. Design of Adaptive IT2 TSK FLC -- 6.5.1. Rule Bases -- 6.5.2. Membership Functions -- 6.5.3. Control Structure -- 6.5.4. Control Design -- 6.5.5. Control Performance -- 6.6. Adaptive Control Design with Application to Robot Manipulators -- 6.6.1. Tracking Control -- 6.6.2. Control Structure -- 6.6.3. Application to Modular and Reconfigurable Robot Manipulators (MRR) -- 6.7. Robust Control Design -- 6.7.1. System Description -- 6.7.2. Disturbance Rejection Problem and Solution -- 6.7.3. Robust Control Example -- 6.8. Summary -- Appendix -- 7. Looking into the Future -- 7.1. Introduction -- 7.2. William Melek and Hao Ying Look into the Future -- 7.3. Hani Hagras Looks into the Future -- 7.3.1. Nonsingleton IT2 FL Control -- 7.3.2. zSlices-Based Singleton General T2 FL Control -- 7.4. Woei Wan Tan Looks into the Future -- 7.5. Jerry Mendel Looks into The Future -- 7.5.1. IT2 FLC -- 7.5.2. GT2 FLC -- Appendix A T2 FLC Software: From Type-1 to zSlices-Based General Type-2 FLCs -- A.1. Introduction -- A.2. FLC for Right-Edge Following -- A.3. Type-1 FLC Software -- A.3.1. Define and Set Up T1 FLC Inputs -- A.3.2. Define T1 FSs That Quantify Each Variable -- A.3.3. Define Logical Antecedents and Consequents for the FL Rules -- A.3.4. Define Rule Base of T1 FLC -- A.4. Interval T2 FLC Software -- A.4.1. Define and Set Up FLC Inputs -- A.4.2. Define IT2 FSs That Quantify Each Variable -- A.4.3. Define Logical Antecedents and Consequents for the FL Rules -- A.4.4. Define Rule Base of the IT2 FLC -- A.5. zSlices-Based General Type-2 FLC Software -- A.5.1. Define and Set Up FLC Inputs -- A.5.2. Define zSlices-Based GT2 FSs That Quantify Each Variable -- A.5.3. Define Logical Antecedents and Consequents for the FL Rules -- A.5.4. Define Rule Base of the GT2 FLC
Bibliography Includes bibliographical references and index
Notes Print version record and CIP data provided by publisher
Subject Automatic control.
Fuzzy systems.
TECHNOLOGY & ENGINEERING -- Engineering (General)
Automatic control.
Fuzzy systems.
Form Electronic book
Author Hagras, Hani
Tan, Woei-Wan
Melek, William W
Ying, Hao, 1958-
LC no. 2014010274
ISBN 9781118901441
1118901444
9781118901472
1118901479
9781118886540
1118886542
1306876362
9781306876360
1118278399
9781118278390