Fractional Order Motion Controls -

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Editeur : John Wiley & Sons

Langue : Anglais

Parution : 01/12/2012

Format : Moyen, de 350g à 1kg

Nombre de pages : 456

Expédition : 857

Dimensions : 25.1 x 17.5 x 2.8

ISBN : 9781119944553

Résumé :

Ying Luo, South China University of Technology, China. Currently Assistant Professor in the Department of Automatic Control and Engineering, South China University of Technology, Dr Luo joined the BS-PhD program in 2004. He went to Utah State University, Logan, UT, USA, as a visiting scholar/exchange PhD from September 2007 to February 2009 and received the PhD degree in Automation Science and Engineering from South China University of Technology, Guangzhou, China, in July 2009. Dr Luo has been based at Utah State University, Logan, UT, USA, as a postdoctoral fellow from September 2009. He has worked on several patents and has published research in some key journals.

YangQuan Chen, Utah State University, USA. Dr Chen is Associate Professor in the Department of Electrical & Computer Engineering as well as Director at the Center for Self-Organizing & Intelligent Systems (CSOIS) of Utah State University, Logan. Prior to this he has held positions at Seagate Tech. Int., Singapore, National University of Singapore and Nanyang Technological University. He is the owner of 14 patents and Senior Member of the IEEE.

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Biographie:

Acronyms xix
Foreword xxiii
Preface xxv
Acknowledgments xxix

PART I FUNDAMENTALS OF FRACTIONAL CONTROLS

1 Introduction 3
1.1 Fractional Calculus 3
1.2 Fractional Order Controls 9
1.3 Fractional Order Motion Controls 20
1.4 Contributions 22
1.5 Organization 22

PART II FRACTIONAL ORDER VELOCITY SERVO

2 Fractional Order PI Controller Designs for Velocity Servo Systems 25
2.1 Introduction 25
2.2 FOPTD Systems and Three Controllers Considered 27
2.3 Design Specifications 27
2.4 Fractional Order PI and [PI] Controller Designs 28
2.5 Simulation 38
2.6 Chapter Summary 39

3 Tuning Fractional Order PI Controllers for Fractional Order Velocity Systems with Experimental Validation 41
3.1 Introduction 41
3.2 Three Controllers to Be Designed and Tuning Specifications 42
3.3 Tuning Three Controllers for FOVS 42
3.4 Illustrative Examples and Design Procedure Summaries 43
3.5 Simulation Illustration 45
3.6 Experimental Validation 49
3.7 Chapter Summary 54

4 Relay Feedback Tuning of Robust PID Controllers 59
4.1 Introduction 59
4.2 Slope Adjustment of the Phase Bode Plot 62
4.3 The New PID Controller Design Formulae 65
4.4 Phase and Magnitude Measurement Via Relay Feedback Tests 66
4.5 Illustrative Examples 67
4.6 Chapter Summary 72

5 Auto-Tuning of Fractional Order Controllers with Iso-Damping 73
5.1 Introduction 73
5.2 FOPI and FO[PI] Controllers Design Formulae 75
5.3 Measurements for Auto-Tuning 80
5.4 Simulation Illustration 80
5.5 Chapter Summary 87

PART III FRACTIONAL ORDER POSITION SERVO

6 Fractional Order PD Controller Tuning for Position Systems 91
6.1 Introduction 91
6.2 Fractional Order PD Controller Design for Position Servos 92
6.3 Design Procedures 94
6.4 Simulation Example 95
6.5 Experiments 99
6.6 Chapter Summary 101

7 Fractional Order [PD] Controller Synthesis for Position Servo Systems 105
7.1 Introduction 105
7.2 Position Control Plants and Design Specifications 106
7.3 Fractional Order [PD] Controller Design 106
7.4 Parameter Design Examples and Bode Plot Validations 108
7.5 Implementation of Two Fractional Order Operators 110
7.6 Simulation 111
7.7 Experiment 120
7.8 Chapter Summary 122

8 Time-Constant Robust Analysis and Design of Fractional Order [PD] Controller 123
8.1 Introduction 123
8.2 Problem Statement 124
8.3 FO[PD] Tuning Specifications and Rules 125
8.4 The Solution Existence Range and An Online Computation Method 127
8.5 Experiment 135
8.6 Chapter Summary 136

9 Experimental Study of Fractional Order PD Controller Synthesis for Fractional Order Position Servo Systems 139
9.1 Introduction 139
9.2 Fractional Order Systems and Fractional Order Controller Considered 140
9.3 FOPD Controller Design Procedure for the Fractional Order Position Servo Systems 141
9.4 Simulation Illustration 144
9.5 Experimental Study 148
9.6 Chapter Summary 153

10 Fractional Order [PD] Controller Design and Comparison for Fractional Order Position Servo Systems 155
10.1 Introduction 155
10.2 Fractional Order Position Servo Systems and Fractional Order Controllers 156
10.3 Fractional Order [PD] Controller Design 156
10.4 Integer Order PID Controller and Fractional Order PD Controller Designs 159
10.5 Simulation Comparisons 160
10.6 Chapter Summary 162

PART IV STABILITY AND FEASIBILITY FOR FOPID DESIGN

11 Stability and Design Feasibility of Robust PID Controllers for FOPTD Systems 165