Dynamic Modeling and Boundary Control of Flexible Axially Moving System

Description

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. 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