PDE Modeling and Boundary Control for Flexible Mechanical System (Springer Tracts in Mechanical Engineering)

✍ Scribed by Zhijie Liu, Jinkun Liu

• Publisher: Springer
• Year: 2020
• Tongue: English
• Leaves: 184
• Category: Library

✦ Synopsis

This book provides a comprehensive review of fundamental issues in the dynamical modeling and vibration control design for several flexible mechanical systems, such as flexible satellites, flexible aerial refueling hoses, and flexible three-dimensional manipulators. Offering an authoritative reference guide to the dynamics and control of flexible mechanical systems, it equips readers to solve a host of problems concerning these systems. It provides not only a complete overview of flexible systems, but also a better understanding of the technical levels involved. The book is divided into ten chapters: Chapters 1 and 2 lay the foundations, while the remaining chapters explore several independent yet related topics in detail. The book’s final chapter presents conclusions and recommendations for future research.
Given its scope, the book is intended for researchers, graduate students, and engineers whose work involves control systems, flexible mechanical systems, and related areas.

✦ Table of Contents

Preface
Acknowledgements
Contents
About the Authors
1 Introduction
1.1 Background and Motivation
1.2 Survey on Modeling and Control of Flexible Mechanical System
1.2.1 Main Research Methods of Flexible Mechanical Systems Based on PDEs
1.2.2 Control Design of Flexible Mechanical Systems
1.2.3 Typical Flexible Mechanical Systems
1.2.4 Engineering Design of Flexible Mechanical Systems
1.3 Outline of This Book
References
2 Mathematical Preliminaries
2.1 Basic PDE Models
2.2 Aerodynamic Forces
2.3 The Hamilton Principle
2.4 Separation of Variables
2.5 Useful Lemmas
2.5.1 Lyapunov's Direct Method
2.5.2 Barbalat's Lemma
2.5.3 Other Useful Lemmas
References
3 PDE Modeling and Basic Vibration Control for Flexible Satellite
3.1 Introduction
3.2 Problem Formulation
3.3 Control Design
3.4 Simulation
References
4 Boundary Control for Flexible Satellite with Input Constraint
4.1 Introduction
4.2 Problem Formulation
4.3 Boundary Control Design
4.4 Simulation
References
5 PDE Modeling and Basic Vibration Control for Flexible Aerial Refueling Hose
5.1 Introduction
5.2 Problem Formulation
5.3 Boundary Control Design
5.4 Simulation
References
6 Vibration Control of a Flexible Aerial Refueling Hose with Input Saturation
6.1 Introduction
6.2 Problem Formulation
6.3 Control Design
6.4 Simulation
References
7 Deadzone Compensation Based Boundary Control for Flexible Aerial Refueling Hose with Output Constraint
7.1 Introduction
7.2 Problem Formulation
7.3 Basic Control Design for Deadzone Compensation
7.4 Barrier Lyapunov Function (BLF) Based Control Design
7.5 Simulation
References
8 Modeling and Vibration Control of a Flexible Aerial Refueling Hose with Variable Lengths and Input Constraint
8.1 Introduction
8.2 Problem Formulation
8.3 Control Design
8.4 Stability Analysis
8.5 Simulation
References
9 Dynamic Modeling and Vibration Control for a Nonlinear Three-Dimensional Flexible Manipulator
9.1 Introduction
9.2 Problem Formulation
9.3 Control Design
9.4 Simulation
References
10 Conclusion