1st Edition

Modeling and Control of Vibration in Mechanical Systems

By Chunling Du, Lihua Xie Copyright 2010
    336 Pages 204 B/W Illustrations
    by CRC Press

    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.

    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


    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.