Foundations of Fuzzy Control (Hardcover)

Jan Jantzen

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Fuzzy logic is key to the efficient working of many consumer, industrial and financial applications. Providing a brief history of the subject as well as analysing the system architecture of a fuzzy controller, this book gives a full and clearly set out introduction to the topic.

As an essential guide to this subject for many engineering disciplines, Foundations of Fuzzy Control successfully exploits established results in linear and non-linear control theory.  It presents a full coverage of fuzzy control, from basic mathematics to feedback control, all in a tutorial style.

In particular this book:

  • Systematically analyses several fuzzy PID (Proportional-Integral-Derivative) control systems and state space control, and also self-learning control mechanisms
  • Sets out practical worked through problems, examples and case studies to illustrate each type of control system
  • Provides an accompanying Web site that contains downloadable Matlab programs.

This book is an invaluable resource for a broad spectrum of researchers, practitioners, and students in engineering.  In particular it is especially relevant for those in mechanical and electrical engineering, as well as those in artificial intelligence, machine learning, bio-informatics, and operational research.  It is also a useful reference for practising engineers, working on the development of fuzzy control applications and system architectures.

 

Table of Contents

Foreword.

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.

商品描述(中文翻譯)

描述
模糊邏輯是許多消費者、工業和金融應用的高效工作的關鍵。本書提供了該主題的簡要歷史,並分析了模糊控制器的系統架構,為讀者提供了一個完整且清晰的介紹。

作為許多工程學科對這一主題的重要指南,《模糊控制的基礎》成功地利用了線性和非線性控制理論中已有的結果。它以教程風格全面介紹了模糊控制,從基本數學到反饋控制。

特別是本書:
- 系統地分析了幾種模糊PID(比例-積分-微分)控制系統和狀態空間控制,以及自學習控制機制
- 提供了實際的問題、例子和案例研究,以說明每種控制系統
- 提供了一個附帶的網站,其中包含可下載的Matlab程序。

本書對於廣泛的研究人員、從業人員和工程學生來說是一個寶貴的資源。特別是對於機械和電氣工程以及人工智能、機器學習、生物信息學和運營研究等領域的人員尤其相關。對於從事模糊控制應用和系統架構開發的實踐工程師來說,它也是一個有用的參考資料。

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