The main objectives of the book are to introduce the design method of boundary control strategies for the axially moving structures to reduce their vibration. This book provides the reader with a thorough grounding in the boundary controller design. Our goal is to provide advanced boundary controller design methods and their stability analysis methods and offer simulation examples and MATLAB programs for each boundary control algorithm. For each chapter, several engineering application examples are given and the contents of each chapter in this book are independent, so that readers can just read their own needs. In this book, all the control algorithms and their programs are described separately and classified by the chapter name, which can be run successfully in MATLAB. The book can benefit researchers, engineers, and graduate students in the fields of PDE modeling and boundary vibration control of flexible structures.
Author(s): Yu Liu, Fengjiao Liu, Yanfang Mei, Xiangqian Yao, Wei Zhao
Publisher: Springer
Year: 2023
Language: English
Pages: 248
City: Singapore
Contents
1 Introduction
1.1 Control of the Axially Moving Structures
1.2 Outline of the Book
References
2 Mathematical Preliminaries
2.1 The Hamilton Principle
2.2 Functional and Variation
2.2.1 Functional Variation Rules
2.2.2 The Expansion of intt1 t2 δ( 12wt2 )dt
2.2.3 Definition of Variation
2.3 Discrete Simulation Method
2.3.1 Discretization of the Vibration Displacement w( x,t )
2.3.2 Several Discretization Methods
2.3.3 Discretization of Boundary Conditions
2.4 S-Curve Acceleration/Deceleration (Sc-A/D) Method
2.5 Preliminaries
References
3 PDE Modeling for the Axially Moving Structures
3.1 PDE Modeling
3.2 Simulation Example
Appendix 1: Simulation Program
References
4 Boundary Control of an Axially Moving System with High Acceleration/Deceleration
4.1 Introduction
4.2 PDE Dynamic Model
4.3 Boundary Controller Design
4.3.1 Boundary Control
4.3.2 Stability Analysis
4.4 Simulation Example
Appendix 1: Simulation Program
References
5 Robust Boundary Control of an Axially Moving System with High Acceleration/deceleration and Disturbance Observer
5.1 Introduction
5.2 PDE Dynamic Model
5.3 Boundary Controller Design
5.4 Stability Analysis
5.5 Simulation Example
Appendix 1: Simulation Program
References
6 Adaptive Boundary Control of an Axially Moving System with High Acceleration/Deceleration
6.1 Introduction
6.2 PDE Dynamic Model
6.3 Boundary Controller Design
6.4 Stability Analysis
6.5 Simulation Example
Appendix 1: Simulation Program
References
7 Adaptive Boundary Control of an Axially Moving System with High Acceleration/Deceleration and Disturbance Observer
7.1 Introduction
7.2 PDE Dynamic Model
7.3 Boundary Controller Design
7.4 Stability Analysis
7.5 Simulation Example
Appendix 1: Simulation Program
References
8 Boundary Control of an Axially Moving Accelerated/Decelerated Belt System
8.1 Introduction
8.2 PDE Dynamic Model
8.3 Boundary Controller Design
8.3.1 Step One
8.3.2 Step Two
8.4 Stability Analysis
8.5 Simulation Example
Appendix 1: Simulation Program
References
9 Stabilization of an Axially Moving Accelerated/Decelerated System via an Adaptive Boundary Control
9.1 Introduction
9.2 PDE Dynamic Model
9.3 Boundary Controller Design
9.3.1 Step One
9.3.2 Step Two
9.4 Stability Analysis
9.5 Simulation Example
Appendix 1: Simulation Program
References
10 Adaptive Output Feedback Boundary Control for a Class of Axially Moving System
10.1 Introduction
10.2 PDE Dynamic Model
10.3 Boundary Controller Design
10.3.1 Step One
10.3.2 Step Two
10.4 Stability Analysis
10.5 Simulation Example
Appendix 1: Simulation Program
References
11 Vibration Control and Boundary Tension Constraint of an Axially Moving String System
11.1 Introduction
11.2 PDE Dynamic Model
11.3 Boundary Controller Design
11.4 Stability Analysis
11.5 Simulation Example
Appendix 1: Simulation Program
References
12 Boundary Control for an Axially Moving System with Input Restriction Based on Disturbance Observers
12.1 Introduction
12.2 PDE Dynamic Model
12.3 Boundary Controller Design
12.3.1 Disturbance Observer Design
12.3.2 Backstepping Design
12.4 Stability Analysis
12.5 Simulation Example
Appendix 1: Simulation Program
References
13 Adaptive Neural Network Vibration Control for an Output-Tension-Constrained Axially Moving Belt System with Input Nonlinearity
13.1 Introduction
13.2 PDE Dynamic Model
13.3 Boundary Controller Design
13.3.1 Step One
13.3.2 Step Two
13.4 Stability Analysis
13.5 Simulation Example
Appendix 1: Simulation Program
References
14 Conclusions
