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Textbook
Foundations of Fuzzy ControlISBN: 978-0-470-02963-3
Hardcover
230 pages
April 2007, ©2007
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Preface.
List of Figures.
1 Introduction.
1.1 What Is Fuzzy Control?
1.2 Why Fuzzy Control?
1.3 Controller Design.
1.4 Introductory Example: Stopping a Car.
1.5 Summary.
1.6 Notes and references.
2 Fuzzy Reasoning.
2.1 Fuzzy Sets.
2.2 Fuzzy Set Operations.
2.3 Fuzzy Logic.
2.4 Fuzzy Implication.
2.5 Rules of Inference.
2.6 Generalized Modus Ponens.
2.7 Triangular Norms.
2.8 Formal Derivation of the Mamdani Inference*.
2.9 Summary.
2.10 Notes and References.
3 Fuzzy Control.
3.1 Controller Components.
3.2 Rule-Based Controllers.
3.3 Table-Based Controller.
3.4 Linear Controller.
3.5 Analytical Simplification of the Inference*.
3.6 Summary.
3.7 Notes and References.
4 Linear Fuzzy PID Control.
4.1 Fuzzy P Controller.
4.2 Fuzzy PD Controller.
4.3 Fuzzy PD+I Controller.
4.4 Fuzzy Incremental Controller.
4.5 Tuning.
4.6 Scaling.
4.7 Simulation Study: Higher-Order Process.
4.8 Practical Considerations*.
4.9 Summary.
4.10 Notes and References.
5 Nonlinear Fuzzy PID Control.
5.1 Phase Plane Analysis.
5.2 Fuzzy PD Control.
5.3 Fuzzy PD+I Control.
5.4 Fine-tuning.
5.5 Higher-Order Systems.
5.6 Practical Considerations.
5.7 Summary.
5.8 Notes and References.
6 The Self-Organizing Controller.
6.1 Model Reference Adaptive Systems.
6.2 The Original SOC.
6.3 A Linear PerformanceMeasure.
6.4 Example with a Long Deadtime.
6.5 Tuning and Time Lock.
6.6 Analytical Derivation of the Adaptation Law*.
6.7 Summary.
6.8 Notes and References.
7 Stability Analysis by Describing Functions.
7.1 Describing Functions.
7.2 Fuzzy PD Controller.
7.3 Fuzzy PD+I Controller.
7.4 The Nyquist Criterion for Stability.
7.5 Closed-Loop Simulation Examples.
7.6 Analytical Derivation of the Describing Function*.
7.7 Summary.
7.8 Notes and References.
8 Simulation Study: Cart–Ball Balancer.
8.1 Laboratory Rig.
8.2 Mathematical Model.
8.3 Step 1: Design a Crisp PID Controller.
8.4 Step 2: Replace It with a Linear Fuzzy.
8.5 Step 3:Make It Nonlinear.
8.6 Step 4: Fine-tune It.
8.7 Further State-Space Analysis*.
8.8 Summary.
8.9 Notes and References.
9 Supervisory Control*.
9.1 Process Control.
9.2 High-Level Fuzzy Control .
9.3 Summary.
9.4 Notes and References.
Bibliography.
Index.
