Vibration Control Methods of Mechanical Distributed Parameter Systems (Springer Tracts in Mechanical Engineering)

✍ Scribed by Xueyan Xing, Jinkun Liu

• Publisher: Springer
• Year: 2021
• Tongue: English
• Leaves: 264
• Category: Library

✦ Synopsis

This book aims at investigating PDE modeling and vibration control of some typical mechanical distributed parameter systems. Several control methods are proposed to realize stabilization of the closed-loop system with the help of mathematical tools and stability analysis methods. Besides, some common engineering problems, such as input and output constraints, are also involved in the control design. This book offers a comprehensive introduction of mechanical distributed parameter systems, including PDE modeling, controller design and stability analysis. The related fundamental mathematical tools and analytical approaches involving in the PDE modeling and controller are also provided, which broadens its reach to readers.

✦ Table of Contents

Preface
Acknowledgements
Contents
About the Authors
1 Introduction
1.1 Background and Motivation
1.2 Modeling Methods of Mechanical Distributed Parameter Systems
1.2.1 Modeling Method of Truncated ODE Model
1.2.2 Modeling Method of PDE Model
1.3 Control Strategy of Mechanical Distributed Parameter Systems
1.4 Stability Analysis Method of Mechanical Distributed Parameter Systems
1.4.1 Lyapunov Theory
1.4.2 Operator Semigroup Theory
1.5 Typical Engineering Problems of Distributed Parameter System
1.5.1 Common Model Structure
1.5.2 Common Engineering Control Problems
1.6 Outline of the Book
References
2 Preliminaries
2.1 Finite Difference Method
2.2 Hamilton Principle
2.3 Useful Definitions and Lemmas
Appendix 2.1: Simulation Program: chapter2.m
References
3 LMI-Based Robust Adaptive Neural Network Control for Euler-Bernoulli Beam with Unknown Parametric and Modeling Uncertainties
3.1 Introduction
3.2 Problem Formulation
3.3 Control Design and Stability Analysis
3.3.1 RBF Neural Network Design
3.3.2 Controller Design and Stability Analysis
3.4 Simulations
3.5 Conclusions
Appendix 3.1: Simulation Program: chapter3LMI1.m
Appendix 3.2: Simulation Program: chapter3LMI2.m
Appendix 3.3: Simulation Program: chapter3.m
References
4 LMI-Based Vibration Control Design for Euler–Bernoulli Beam with Uncertain Parameters and Distributed Disturbance
4.1 Introduction
4.2 Problem Formulation
4.3 Control Design and Analysis
4.3.1 Observer Design and Analysis
4.3.2 Controller Design and Stability Analysis
4.4 Simulations
4.5 Conclusions
Appendix 4.1: Simulation Program: chapter4LMI1.m
Appendix 4.2: Simulation Program: chapter4LMI2.m
Appendix 4.3: Simulation Program: chapter4.m
References
5 LMI-Based Boundary and Distributed Control Design for a Flexible String Subject to Disturbance
5.1 Introduction
5.2 Problem Formulation
5.3 Observer Design
5.4 Control Design and Stability Analysis
5.5 Simulations
5.6 Conclusions
Appendix 5.1: Simulation Program: chapter5LMI1.m
Appendix 5.2: Simulation Program: chapter5LMI2.m
Appendix 5.3: Simulation Program: chapter5.m
References
6 PDE Modeling and Basic Control of Vehicle-Mounted Flexible Manipulator
6.1 Introduction
6.2 Problem Formulation
6.3 Control Design and Stability Analysis
6.4 Simulations
6.5 Conclusions
References
7 Adaptive Fault-Tolerant Control of Vehicle-Mounted Flexible Manipulator
7.1 Introduction
7.2 Problem Formulation
7.3 Control Design and Stability Analysis
7.3.1 RBF Neural Network Design
7.3.2 Adaptive Fault-Tolerant Control Design and Stability Analysis
7.4 Simulations
7.5 Conclusions
References
8 Switching Fault-Tolerant Control of Vehicle-Mounted Flexible Manipulator System with Output Constraints
8.1 Introduction
8.2 Problem Formulation
8.3 Switching Fault-Tolerant Control Design with Output Constraints
8.3.1 Control Design with Output Constraints Under Non-fault Conditions
8.3.2 Monitoring Functions and Switching Strategy Design
8.4 Simulations
8.5 Conclusions
References
9 Prescribed Performance Control of Vehicle-Mounted Flexible Manipulator
9.1 Introduction
9.2 Problem Formulation
9.3 Prescribed Performance Function
9.4 Control Design and Stability Analysis
9.5 Simulations
9.6 Conclusions
References
10 PDE Modeling and Basic Vibration Control of Overhead Crane Bridge
10.1 Introduction
10.2 Problem Formulation
10.3 Control Design and Stability Analysis
10.4 Simulations
10.5 Conclusions
References
11 Vibration Control for Overhead Crane Bridge with Output Constraints
11.1 Introduction
11.2 Problem Formulation
11.3 Control Design and Stability Analysis
11.4 Simulations
11.5 Conclusions
References
12 Vibration Control of Overhead Crane Bridge with Unknown Control Directions and Parametric Uncertainties
12.1 Introduction
12.2 Problem Formulation
12.3 Control Design and Stability Analysis
12.4 Simulations
12.5 Conclusions
References
Conclusion