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Zhang Functions and Various Models

  • Yunong Zhang
  • Dongsheng Guo

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Scalar-Valued ZF in Real Domain

    1. Front Matter
      Pages 1-1
    2. Yunong Zhang, Dongsheng Guo
      Pages 3-16
    3. Yunong Zhang, Dongsheng Guo
      Pages 17-31
    4. Yunong Zhang, Dongsheng Guo
      Pages 33-45
  3. Vector-Valued ZF in Real Domain

    1. Front Matter
      Pages 47-47
    2. Yunong Zhang, Dongsheng Guo
      Pages 49-60
    3. Yunong Zhang, Dongsheng Guo
      Pages 75-88
  4. Matrix-Valued ZF in Real Domain

    1. Front Matter
      Pages 89-89
    2. Yunong Zhang, Dongsheng Guo
      Pages 91-104
    3. Yunong Zhang, Dongsheng Guo
      Pages 105-119
    4. Yunong Zhang, Dongsheng Guo
      Pages 121-128
    5. Yunong Zhang, Dongsheng Guo
      Pages 129-148
  5. ZF in Complex Domain

    1. Front Matter
      Pages 149-149
    2. Yunong Zhang, Dongsheng Guo
      Pages 151-161
    3. Yunong Zhang, Dongsheng Guo
      Pages 163-172
    4. Yunong Zhang, Dongsheng Guo
      Pages 173-192
  6. ZF Application to Robot Control

    1. Front Matter
      Pages 193-193
    2. Yunong Zhang, Dongsheng Guo
      Pages 195-213
    3. Yunong Zhang, Dongsheng Guo
      Pages 215-236

About this book

Introduction

This book focuses on solving different types of time-varying problems. It presents various Zhang dynamics (ZD) models by defining various Zhang functions (ZFs) in real and complex domains. It then provides theoretical analyses of such ZD models and illustrates their results. It also uses simulations to substantiate their efficacy and show the feasibility of the presented ZD approach (i.e., different ZFs leading to different ZD models), which is further applied to the repetitive motion planning (RMP) of redundant robots, showing its application potential.

Keywords

Computer simulations Redundant robots Repetitive motion planning Simulink modeling Time-varying problems solving ZD models Zhang dynamics Zhang function

Authors and affiliations

  • Yunong Zhang
    • 1
  • Dongsheng Guo
    • 2
  1. 1.School of Information Science & TechnologySun Yat-sen UniversityGuangzhouChina
  2. 2.School of Information Science & TechnologySun Yat-sen UniversityGuangzhouChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-47334-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-662-47333-7
  • Online ISBN 978-3-662-47334-4
  • Buy this book on publisher's site
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