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PDE Modeling and Boundary Control for Flexible Mechanical System

  • Book
  • © 2020

Overview

Authors:
  1. Zhijie Liu

    1. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China

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  2. Jinkun Liu

    1. School of Automation Science and Electrical Engineering, Beihang University, Beijing, China

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Offers an essential guide to modeling for various flexible mechanical systems based on partial differential equations
  • Provides advanced boundary controller design methods and stability analysis methods
  • Presents sample simulations and a MATLAB program for some basic boundary control algorithms

Part of the book series: Springer Tracts in Mechanical Engineering (STME)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Introduction

    • Zhijie Liu, Jinkun Liu
    Pages 1-16

  3. Mathematical Preliminaries

    • Zhijie Liu, Jinkun Liu
    Pages 17-24

  4. PDE Modeling and Basic Vibration Control for Flexible Satellite

    • Zhijie Liu, Jinkun Liu
    Pages 25-43

  5. Boundary Control for Flexible Satellite with Input Constraint

    • Zhijie Liu, Jinkun Liu
    Pages 45-65

  6. PDE Modeling and Basic Vibration Control for Flexible Aerial Refueling Hose

    • Zhijie Liu, Jinkun Liu
    Pages 67-84

  7. Vibration Control of a Flexible Aerial Refueling Hose with Input Saturation

    • Zhijie Liu, Jinkun Liu
    Pages 85-102

  8. Deadzone Compensation Based Boundary Control for Flexible Aerial Refueling Hose with Output Constraint

    • Zhijie Liu, Jinkun Liu
    Pages 103-118

  9. Modeling and Vibration Control of a Flexible Aerial Refueling Hose with Variable Lengths and Input Constraint

    • Zhijie Liu, Jinkun Liu
    Pages 119-136

  10. Dynamic Modeling and Vibration Control for a Nonlinear Three-Dimensional Flexible Manipulator

    • Zhijie Liu, Jinkun Liu
    Pages 137-171

  11. Conclusion

    • Zhijie Liu, Jinkun Liu
    Pages 173-174
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Keywords

About this book

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.


Reviews

“The book is well written. The references to important works are given. Solutions using MATHLAB are presented in detail. Although this book treats very specific problems, it may be useful to researchers and graduate students working in the field of structural stability.” (Teodor Atanacković, zbMATH 1471.74002, 2021)

Authors and Affiliations

  • School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China

    Zhijie Liu

  • School of Automation Science and Electrical Engineering, Beihang University, Beijing, China

    Jinkun Liu

About the authors

Dr, Zhijie Liu received his B.S. degree at the School of Mechanical Electrical & Information Engineering, China University of Mining and Technology, Beijing in 2014, and his PhD at the School of Automation Science & Electrical Engineering, Beihang University, China in 2019. In 2017, he was a Research Assistant at the Department of Electrical Engineering, University of Notre Dame, for twelve months. His research interests include adaptive control, distributed parameter systems and intelligent control systems. He has published more than 10 research papers.

Professor Jinkun Liu received his BS, MS and PhD degrees from Northeastern University, Shenyang, China, in 1989, 1994 and 1997, respectively. He was a Postdoctoral Fellow at Zhejiang University from 1997 to 1999, and is currently a Full Professor at Beijing University of Aeronautics and Astronautics. His research interests include intelligent control and sliding mode control, PDE modeling and boundary control, with applications in areas related to motion control, such as flight control and robotic control, etc. especially for under-actuated systems. He has published over 100 research papers and eight books.

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