Foundations of fuzzy control : a practical approach /
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Main Author: | |
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Corporate Author: | |
Format: | Electronic eBook |
Language: | English |
Published: |
Chichester, West Sussex, United Kingdom :
Wiley,
2013.
|
Edition: | Second edition. |
Subjects: | |
Online Access: | Connect to this title online (unlimited simultaneous users allowed; 325 uses per year) |
Table of Contents:
- Machine generated contents note: 1.1. What Is Fuzzy Control?
- 1.2. Why Fuzzy Control?
- 1.3. Controller Design
- 1.4. Introductory Example: Stopping a Car
- 1.5. Nonlinear Control Systems
- 1.6. Summary
- 1.7. Autopilot Simulator*
- 1.8. Notes and References*
- 2.1. Fuzzy Sets
- 2.1.1. Classical Sets
- 2.1.2. Fuzzy Sets
- 2.1.3. Universe
- 2.1.4. Membership Function
- 2.1.5. Possibility
- 2.2. Fuzzy Set Operations
- 2.2.1. Union, Intersection, and Complement
- 2.2.2. Linguistic Variables
- 2.2.3. Relations
- 2.3. Fuzzy If-Then Rules
- 2.3.1. Several Rules
- 2.4. Fuzzy Logic
- 2.4.1. Truth-Values
- 2.4.2. Classical Connectives
- 2.4.3. Fuzzy Connectives
- 2.4.4. Triangular Norms
- 2.5. Summary
- 2.6. Theoretical Fuzzy Logic*
- 2.6.1. Tautologies
- 2.6.2. Fuzzy Implication
- 2.6.3. Rules of Inference
- 2.6.4. Generalized Modus Ponens
- 2.7. Notes and References*
- 3.1. Rule Based Controller
- 3.1.1. Rule Base Block
- 3.1.2. Inference Engine Block
- 3.2. Sugeno Controller
- 3.3. Autopilot Example: Four Rules
- 3.4. Table Based Controller
- 3.5. Linear Fuzzy Controller
- 3.6. Summary
- 3.7. Other Controller Components*
- 3.7.1. Controller Components
- 3.8. Other Rule Based Controllers*
- 3.8.1. Mamdani Controller
- 3.8.2. FLS Controller
- 3.9. Analytical Simplification of the Inference*
- 3.9.1. Four Rules
- 3.9.2. Nine Rules
- 3.10. Notes and References*
- 4.1. Fuzzy P Controller
- 4.2. Fuzzy PD Controller
- 4.3. Fuzzy PD+I Controller
- 4.4. Fuzzy Incremental Controller
- 4.5. Tuning
- 4.5.1. Ziegler-Nichols Tuning
- 4.5.2. Hand-Tuning
- 4.5.3. Scaling
- 4.6. Simulation Example: Third-Order Process
- 4.7. Autopilot Example: Stable Equilibrium
- 4.7.1. Result
- 4.8. Summary
- 4.9. Derivative Spikes and Integrator Windup*
- 4.9.1. Setpoint Weighting
- 4.9.2. Filtered Derivative
- 4.9.3. Anti-Windup
- 4.10. PID Loop Shaping*
- 4.11. Notes and References*
- 5.1. Nonlinear Components
- 5.2. Phase Plot
- 5.3. Four Standard Control Surfaces
- 5.4. Fine-Tuning
- 5.4.1. Saturation in the Universes
- 5.4.2. Limit Cycle
- 5.4.3. Quantization
- 5.4.4. Noise
- 5.5. Example: Unstable Frictionless Vehicle
- 5.6. Example: Nonlinear Valve Compensator
- 5.7. Example: Motor Actuator with Limits
- 5.8. Autopilot Example: Regulating a Mass Load
- 5.9. Summary
- 5.10. Phase Plane Analysis*
- 5.10.1. Trajectory in the Phase Plane
- 5.10.2. Equilibrium Point
- 5.10.3. Stability
- 5.11. Geometric Interpretation of the PD Controller*
- 5.11.1. Switching Line
- 5.11.2. Rule Base for Switching
- 5.12. Notes and References*
- 6.1. Model Reference Adaptive Systems
- 6.2. Original SOC
- 6.2.1. Adaptation Law
- 6.3. Modified SOC
- 6.4. Example with a Long Deadtime
- 6.4.1. Tuning
- 6.4.2. Adaptation
- 6.4.3. Performance
- 6.5. Tuning and Time Lock
- 6.5.1. Tuning of the SOC Parameters
- 6.5.2. Time Lock
- 6.6. Summary
- 6.7. Example: Adaptive Control of a First-Order Process*
- 6.7.1. MIT Rule
- 6.7.2. Choice of Control Law
- 6.7.3. Choice of Adaptation Law
- 6.7.4. Convergence
- 6.8. Analytical Derivation of the SOC Adaptation Law*
- 6.8.1. Reference Model
- 6.8.2. Adjustment Mechanism
- 6.8.3. Fuzzy Controller
- 6.9. Notes and References*
- 7.1. Reference Model
- 7.2. Performance Measures
- 7.3. PID Tuning from Performance Specifications
- 7.4. Gain Margin and Delay Margin
- 7.5. Test of Four Difficult Processes
- 7.5.1. Higher-Order Process
- 7.5.2. Double Integrator Process
- 7.5.3. Process with a Long Time Delay
- 7.5.4. Process with Oscillatory Modes
- 7.6. Nyquist Criterion for Stability
- 7.6.1. Absolute Stability
- 7.6.2. Relative Stability
- 7.7. Relative Stability of the Standard Control Surfaces
- 7.8. Summary
- 7.9. Describing Functions*
- 7.9.1. Static Nonlinearity
- 7.9.2. Limit Cycle
- 7.10. Frequency Responses of the FPD and FPD+I Controllers*
- 7.10.1. FPD Frequency Response with a Linear Control Surface
- 7.10.2. FPD Frequency Response with Nonlinear Control Surfaces
- 7.10.3. Fuzzy PD+I Controller
- 7.10.4. Limit Cycle
- 7.11. Analytical Derivation of Describing Functions for the Standard Surfaces*
- 7.11.1. Saturation Surface
- 7.11.2. Deadzone Surface
- 7.11.3. Quantizer Surface
- 7.12. Notes and References*
- 8.1. Point Designs and Interpolation
- 8.2. Fuzzy Gain Scheduling
- 8.3. Fuzzy Compensator Design
- 8.4. Autopilot Example: Stopping on a Hilltop
- 8.5. Summary
- 8.6. Case Study: the FLS Controller*
- 8.6.1. Cement Kiln Control
- 8.6.2. High-Level Fuzzy Control
- 8.6.3. FLS Design Procedure
- 8.7. Notes and References*
- 9.1. Basis Function Architecture
- 9.2. Handmade Models
- 9.2.1. Approximating a Curve
- 9.2.2. Approximating a Surface
- 9.3. Machine-Made Models
- 9.3.1. Least-Squares Line Fit
- 9.3.2. Least-Squares Basis Function Fit
- 9.4. Cluster Analysis
- 9.4.1. Mahalanobis Distance
- 9.4.2. Hard Clusters, HCM Algorithm
- 9.4.3. Fuzzy Clusters, FCM Algorithm
- 9.5. Training and Testing
- 9.6. Summary
- 9.7. Neuro-Fuzzy Models*
- 9.7.1. Neural Networks
- 9.7.2. Gradient Descent Algorithm
- 9.7.3. Adaptive Neuro-Fuzzy Inference System (ANFIS)
- 9.8. Notes and References*
- 10.1. Hot Water Heater
- 10.1.1. Installing a Timer Switch
- 10.1.2. Fuzzy P Controller
- 10.2. Temperature Control of a Tank Reactor
- 10.2.1. CSTR Model
- 10.2.2. Results and Discussion
- 10.3. Idle Speed Control of a Car Engine
- 10.3.1. Engine Model
- 10.3.2. Results and Discussion
- 10.4. Balancing a Ball on a Cart
- 10.4.1. Mathematical Model
- 10.4.2. Step 1: Design a Crisp PD Controller
- 10.4.3. Step 2: Replace it with a Linear Fuzzy
- 10.4.4. Step 3: Make it Nonlinear
- 10.4.5. Step 4: Fine-Tune it
- 10.5. Dynamic Model of a First-Order Process with a Nonlinearity
- 10.5.1. Supervised Model
- 10.5.2. Semi-Automatic Identification by a Modified HCM
- 10.6. Summary
- 10.7. Further State-Space Analysis of the Cart-Ball System*
- 10.7.1. Nonlinear Equations
- 10.8. Notes and References*.