Modeling and Control of Vibration in Mechanical Systems

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 referencesSymbols and Acronyms1 Mechanical Systems and VibrationMagnetic recording systemStewart platformVibration sources and descriptionsTypes of vibrationRandom vibrationVibration analysis2 Modeling of Disk Drive System and Its VibrationIntroductionSystem descriptionSystem modelingVibration modelingModeling of Stewart PlatformSystem description and governing equationsModeling using adaptive filtering approachClassical Vibration ControlPassive controlSelf-adapting systemsActive vibration controlIntroduction to Optimal and Robust ControlH2 and H8 normsH2 optimal controlH8 controlRobust controlController parametrizationPerformance limitationMixed H2/H8 Control Design for Vibration RejectionMixed H2/H8 control problemMethod 1: slack variable approachMethod 2: an improved slack variable approachApplication in servo loop design for hard disk drivesLow-Hump Sensitivity Control Design for Hard Disk Drive SystemsProblem statementDesign in continuous-time domainDesign in discrete-time domainGeneralized KYP Lemma-Based Loop Shaping Control DesignProblem descriptionGeneralized KYP lemma-based control design methodPeak filterApplication in high frequency vibration rejectionApplication in mid-frequency vibration rejectionCombined H2 and KYP Lemma-Based Control DesignProblem formulationController design for specific disturbance rejection and overall error minimizationSimulation and implementation resultsBlending Control forMulti-Frequency Disturbance RejectionControl blendingControl blending application in multi-frequency disturbance rejectionSimulation and experimental resultsH8-Based Design for Disturbance ObserverConventional disturbance observerA general form of disturbance observerApplication resultsTwo-DimensionalH2 Control for Error Minimization2-D stabilization control2-D H2 controlSSTW process and modelingFeedforward compensation method2-D control formulation for SSTW2-D stabilization control for error propagation containment2-D H2 control for error minimizationNonlinearity Compensation and Nonlinear ControlNonlinearity compensationNonlinear controlQuantization Effect on Vibration Rejection and Its CompensationDescription of control system with quantizerQuantization effect on error rejectionCompensation of quantization effect on error rejectioAdaptive Filtering Algorithms for Active Vibration ControlAdaptive feedforward algorithmAdaptive feedback algorithmComparison between feedforward and feedback controlsApplication 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.