Modeling and Control of Vibration in Mechanical Systems: 1st Edition (Hardback) book cover

Modeling and Control of Vibration in Mechanical Systems

1st Edition

By Chunling Du, Lihua Xie

CRC Press

336 pages | 204 B/W Illus.

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Hardback: 9781439817988
pub: 2010-04-16
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From the ox carts and pottery wheels the spacecrafts and disk drives, efficiency and quality has always been dependent on the engineer’s ability to anticipate and control the effects of vibration. And while progress in negating the noise, wear, and inefficiency caused by vibration has been made, more is needed.

Modeling and Control of Vibration in Mechanical Systems answers the essential needs of practitioners in systems and control with the most comprehensive resource available on the subject.

Written as a reference for those working in high precision systems, this uniquely accessible volume:

  • Differentiates between kinds of vibration and their various characteristics and effects
  • Offers a close-up look at mechanical actuation systems that are achieving remarkably high precision positioning performance
  • Includes techniques for rejecting vibrations of different frequency ranges
  • Covers the theoretical developments and principles of control design with detail elaborate enough that readers will be able to apply the techniques with the help of MATLAB®
  • Details a wealth of practical working examples as well as a number of simulation and experimental results with comprehensive evaluations

The modern world’s ever-growing spectra of sophisticated engineering systems such as hard disk drives, aeronautic systems, and manufacturing systems have little tolerance for unanticipated vibration of even the slightest magnitude. Accordingly, vibration control continues to draw intensive focus from top control engineers and modelers. This resource demonstrates the remarkable results of that focus to date, and most importantly gives today’s researchers the technology that they need to build upon into the future.

Chunling Du is currently researching modeling and advanced servo control of hard disk drives at the Data Storage Institute in Singapore. Lihua Xie is the Director of the Centre for Intelligent Machines and a professor at Nanyang Technological University in Singapore.

Table of Contents

Many chapters have introductions, conclusions, and references

Symbols and Acronyms

1 Mechanical Systems and Vibration

Magnetic recording system

Stewart platform

Vibration sources and descriptions

Types of vibration

Random vibration

Vibration analysis

2 Modeling of Disk Drive System and Its Vibration


System description

System modeling

Vibration modeling

Modeling of Stewart Platform

System description and governing equations

Modeling using adaptive filtering approach

Classical Vibration Control

Passive control

Self-adapting systems

Active vibration control

Introduction to Optimal and Robust Control

H2 and H∞ norms

H2 optimal control

H∞ control

Robust control

Controller parametrization

Performance limitation

Mixed H2/H∞ Control Design for Vibration Rejection

Mixed H2/H∞ control problem

Method 1: slack variable approach

Method 2: an improved slack variable approach

Application in servo loop design for hard disk drives

Low-Hump Sensitivity Control Design for Hard Disk Drive Systems

Problem statement

Design in continuous-time domain

Design in discrete-time domain

Generalized KYP Lemma-Based Loop Shaping Control Design

Problem description

Generalized KYP lemma-based control design method

Peak filter

Application in high frequency vibration rejection

Application in mid-frequency vibration rejection

Combined H2 and KYP Lemma-Based Control Design

Problem formulation

Controller design for specific disturbance rejection and overall error minimization

Simulation and implementation results

Blending Control forMulti-Frequency Disturbance Rejection

Control blending

Control blending application in multi-frequency disturbance rejection

Simulation and experimental results

H∞-Based Design for Disturbance Observer

Conventional disturbance observer

A general form of disturbance observer

Application results

Two-DimensionalH2 Control for Error Minimization

2-D stabilization control

2-D H2 control

SSTW process and modeling

Feedforward compensation method

2-D control formulation for SSTW

2-D stabilization control for error propagation containment

2-D H2 control for error minimization

Nonlinearity Compensation and Nonlinear Control

Nonlinearity compensation

Nonlinear control

Quantization Effect on Vibration Rejection and Its Compensation

Description of control system with quantizer

Quantization effect on error rejection

Compensation of quantization effect on error rejectioAdaptive Filtering Algorithms for Active Vibration Control

Adaptive feedforward algorithm

Adaptive feedback algorithm

Comparison between feedforward and feedback controls

Application in Stewart platform

About the Authors

Chunling Du received her B.E. and M.E. degrees in electrical engineering from the Nanjing University of Science and Technology, Nanjing, China, in 1992, and 1995, respectively, and aPh.D degree from Nanyang Technological University, Singapore, in 2000. She is currently a senior researcher with Data Storage Institute, Singapore, where she is involved in modeling and advanced servo control of hard disk drives. Her research interests include high precision motion control, multidimensional systems, and structure health diagnosis using sensing network. She has published dozens of journal papers and the monograph H-infinity Filtering and Control of two-dimensional Systems with Professor Lihua Xie. Dr. Du is a senior member of IEEE.

Lihua Xie received his B.E. and M.E. degrees in electrical engineering from Nanjing University of Science and Technology in 1983 and 1986, respectively, and a Ph.D. degree in electrical engineering from the University of Newcastle, Australia, in 1992. Since 1992, he has been with the School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, where he is currently a professor and Director, Centre for Intelligent Machines. He concurrently holds Changjiang Professorship with the College of Automation, South China University of Technology.

Dr Xie’s research interests include robust control and estimation, networked control systems, time delay systems, control of disk drive systems and sensor networks. He has published over 170 journal papers and co-authored a number of books in his field. He is an Associate Editor of Automatica, IEEE Transactions on Control Systems Technology, the Transactions of the Institute of Measurement and Control, and an associate editor-at-large of Journal of Control Theory and Applications, and is also a member of the editorial board of IET Proceedings on Control Theory and Applications. He served as an associate editor of IEEE Transactions on Automatic Control, IEEE Transactions on Circuits and Systems-II, International Journal of Control, Automation and Systems, and on the conference editorial board for the , IEEE Control Systems Society. Dr Xie is a Fellow of IEEE and a Fellow of Institution of Engineers, Singapore.

About the Series

Automation and Control Engineering

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Subject Categories

BISAC Subject Codes/Headings:
TECHNOLOGY & ENGINEERING / Electronics / General
TECHNOLOGY & ENGINEERING / Industrial Design / General