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Dynamics of Controlled Mechanical Systems with Delayed Feedback

  • Book
  • © 2002

Overview

Authors:
  1. Haiyan Hu

    1. Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, Nanjing, P. R. China

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  2. Zaihua Wang

    1. Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, Nanjing, P. R. China

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  • First monograph dealing with practical problems of vibration control of delay systems
  • Unlike other monographs on delay systems this one is written for engineers
  • Includes supplementary material: sn.pub/extras

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Modeling of Delayed Dynamic Systems

    • Haiyan Hu, Zaihua Wang
    Pages 1-26

  3. Fundamentals of Delay Differential Equations

    • Haiyan Hu, Zaihua Wang
    Pages 27-58

  4. Stability Analysis of Linear Delay Systems

    • Haiyan Hu, Zaihua Wang
    Pages 59-114

  5. Robust Stability of Linear Delay Systems

    • Haiyan Hu, Zaihua Wang
    Pages 115-149

  6. Effects of a Short Time Delay on System Dynamics

    • Haiyan Hu, Zaihua Wang
    Pages 151-188

  7. Dimensional Reduction of Nonlinear Delay Systems

    • Haiyan Hu, Zaihua Wang
    Pages 189-211

  8. Periodic Motions of Nonlinear Delay Systems

    • Haiyan Hu, Zaihua Wang
    Pages 213-265

  9. Delayed Control of Dynamic Systems

    • Haiyan Hu, Zaihua Wang
    Pages 267-285

  10. Back Matter

    Pages 287-294
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Keywords

About this book

Recent years have witnessed a rapid development of active control of various mechanical systems. With increasingly strict requirements for control speed and system performance, the unavoidable time delays in both controllers and actuators have become a serious problem. For instance, all digital controllers, analogue anti­ aliasing and reconstruction filters exhibit a certain time delay during operation, and the hydraulic actuators and human being interaction usually show even more significant time delays. These time delays, albeit very short in most cases, often deteriorate the control performance or even cause the instability of the system, be­ cause the actuators may feed energy at the moment when the system does not need it. Thus, the effect of time delays on the system performance has drawn much at­ tention in the design of robots, active vehicle suspensions, active tendons for tall buildings, as well as the controlled vibro-impact systems. On the other hand, the properly designed delay control may improve the performance of dynamic sys­ tems. For instance, the delayed state feedback has found its applications to the design of dynamic absorbers, the linearization of nonlinear systems, the control of chaotic oscillators, etc. Most controlled mechanical systems with time delays can be modeled as the dynamic systems described by a set of ordinary differential equations with time delays.

Authors and Affiliations

  • Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, Nanjing, P. R. China

    Haiyan Hu, Zaihua Wang

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