Event-Triggered Sliding Mode Control (eBook)

A New Approach to Control System Design

Bijnan Bandyopadhyay, Abhisek K. Behera (Autoren)

eBook Download: PDF

2018 | 1st ed. 2018
XVI, 128 Seiten
Springer International Publishing (Verlag)
978-3-319-74219-9 (ISBN)

Infos

This edited monograph provides a comprehensive and in-depth analysis of sliding mode control, focusing on event-triggered implementation. The technique allows to prefix the steady-state bounds of the system, and this is independent of any boundary disturbances. The idea of event-triggered SMC is developed for both single input / single output and multi-input / multi-output linear systems. Moreover, the reader learns how to apply this method to nonlinear systems. The book primarily addresses research experts in the field of sliding mode control, but the book may also be beneficial for graduate students.

Inhalt

Preface 7
Contents 9
Acronyms 12
Symbols 13
1 Introduction 15
1.1 Computer-Controlled Systems 16
1.1.1 Basic Architecture 16
1.1.2 Design Techniques 17
1.2 Event-Triggered Control 19
1.2.1 Preliminary Idea 21
1.2.2 Stability of Event-Triggered Systems 22
1.2.3 Need of Event-Triggered Control 25
1.3 Sliding Mode: An Introduction 27
1.3.1 Dynamics During Sliding Mode 28
1.3.2 Design of Sliding Mode Control 31
1.4 Discrete-Time Sliding Mode 35
1.4.1 Switching-Based Reaching Law 36
1.4.2 Switching-Free Reaching Law 37
1.5 Summary 37
1.6 Notes and References 38
References 38
2 Event-Triggered Sliding Mode Control for Linear Systems 40
2.1 System Description 40
2.2 Event-Triggered Sliding Mode Control 41
2.2.1 Stability of Sliding Motion 45
2.2.2 Stability of Event-Triggered System 46
2.2.3 Simulation Results 48
2.3 Global Event-Triggered Sliding Mode Control 50
2.3.1 Global Event-Triggering Rule 50
2.3.2 Design of Sliding Mode Control 51
2.3.3 Global Stability of Event-Triggered System 54
2.3.4 Simulation Results 55
2.4 Event-Triggered Sliding Mode Control for Multivariable Systems 57
2.4.1 Event-Triggered Design of SMC 58
2.4.2 Event-Triggering Rule 61
2.4.3 Simulation Results 62
2.5 Summary 65
2.6 Notes and References 65
References 65
3 Event-Triggered Sliding Mode Control for Nonlinear Systems 67
3.1 System Description 67
3.1.1 Design of Sliding Mode Control 68
3.2 Event-Triggered Sliding Mode Control 69
3.2.1 Stability of Sliding Motion 72
3.3 Event-Triggering Strategy 73
3.3.1 Design of Event-Triggering Scheme with Constraints 75
3.4 Event-Triggering with Delay 77
3.5 Simulation Results 83
3.5.1 Without Delay 84
3.5.2 With Delay 85
3.6 Summary 86
3.7 Notes and References 87
References 87
4 Self-Triggered Sliding Mode Control for Linear Systems 0
4.1 System Description 89
4.2 Self-Triggering Scheme Without Delay 90
4.2.1 Simulation Results 91
4.3 Self-Triggering Scheme with Delay 93
4.3.1 Design of Self-Triggered Sliding Mode Control 97
4.3.2 Simulation Results 100
4.4 Summary 101
4.5 Notes and References 102
References 102
5 Discrete Event-Triggered Sliding Mode Control for Linear Systems 104
5.1 System Description 104
5.2 Discrete-Time Sliding Mode 106
5.2.1 Bartoszewicz's Reaching Law 107
5.2.2 Design of Discrete-Time Sliding Mode Control 108
5.3 Discrete Event-Triggered Sliding Mode Control: State Feedback Approach 109
5.3.1 Event-Triggered Bartoszewicz's Reaching Law 110
5.3.2 Event-Triggering Rule 112
5.3.3 Simulation Results 112
5.4 Discrete Event-Triggered Sliding Mode Control: Output Feedback Approach 114
5.4.1 Multirate Output Feedback Technique 114
5.4.2 Multirate-Based Event-Triggered Discrete-Time Sliding Mode 117
5.4.3 Simulation Results 119
5.5 Summary 120
5.6 Notes and References 121
References 121
6 Event-Triggered Sliding Mode Control with Quantized State Measurements 124
6.1 System Description 124
6.1.1 Quantizer 125
6.2 Design of Sliding Mode Control 127
6.3 Design of Event-Triggered Sliding Mode Control 128
6.3.1 Design of Event-Triggering Rule 130
6.4 Simulation Results 133
6.5 Summary 135
6.6 Notes and References 136
References 136
Index 138

Produkt-Details

• Erscheint lt. Verlag: 20.2.2018
• Reihe/Serie: Studies in Systems, Decision and Control
• Zusatzinfo: XVI, 128 p. 31 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Schlagworte: discontinuous control • Discrete-time Control • Event-Triggered Control • Event-triggered SMC • Sampled Data System
• ISBN-10: 3-319-74219-1 / 3319742191
• ISBN-13: 978-3-319-74219-9 / 9783319742199