Actuator Backlash Compensation and Accurate Parameter Estimation for Active Vibration Isolation System

To isolate the mounted object from the vibration sources, it is required that the qualities of the actuators in an active vibration isolation system are highly promising. Therefore, it is unreasonable to ignore actuator nonlinearity to realize the excellent performances of the vibration isolation. In this paper, the problem of unknown actuator backlash in the vibration isolation system is investigated. To handle the lines-segments backlash nonlinearity, an adaptive smooth backlash inverse is employed to compensate the deleterious effect. Moreover, a promising controller is proposed to ensure that the motion of the moving platform converges to desired values. Based on Lyapunov's second method, all of the involved signals in the closed-loop system are proved to be stable. Finally, comparative studies involving active vibration isolation with actuator backlash are constructed and carried out to validate the effectiveness of the proposed control scheme.

[1]  Hao Ying,et al.  Fuzzy Control and Modeling: Analytical Foundations and Applications , 2000 .

[2]  Xiao-Shan Gao,et al.  Generalized Stewart-Gough platforms and their direct kinematics , 2005, IEEE Transactions on Robotics.

[3]  Hong Gu,et al.  Forward Kinematics Analysis of a Six-Degree-of-Freedom Stewart Platform Based on Independent Component Analysis and Nelder–Mead Algorithm , 2011, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[4]  James Lam,et al.  Semiglobal Observer-Based Leader-Following Consensus With Input Saturation , 2014, IEEE Transactions on Industrial Electronics.

[5]  Md.E. Hoque,et al.  Development of a three-axis active vibration isolator using zero-power control , 2006, IEEE/ASME Transactions on Mechatronics.

[6]  Jing Zhou,et al.  Robust Adaptive Output Control of Uncertain Nonlinear Plants With Unknown Backlash Nonlinearity , 2007, IEEE Transactions on Automatic Control.

[7]  Krishna R. Pattipati,et al.  Model-Based Prognostic Techniques Applied to a Suspension System , 2008, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[8]  Jean-Pierre Merlet,et al.  Solving the Forward Kinematics of a Gough-Type Parallel Manipulator with Interval Analysis , 2004, Int. J. Robotics Res..

[9]  N. Roozen,et al.  Active Vibration Control of Gradient Coils to Reduce Acoustic Noise of MRI Systems , 2008, IEEE/ASME Transactions on Mechatronics.

[10]  Yoshihiro Suda,et al.  Modeling of Electromagnetic Damper for Automobile Suspension , 2007 .

[11]  Yuanqing Xia,et al.  Adaptive Fuzzy Control for Multilateral Cooperative Teleoperation of Multiple Robotic Manipulators Under Random Network-Induced Delays , 2014, IEEE Transactions on Fuzzy Systems.

[12]  Philippe Martinet,et al.  Image-based Visual Servoing of a Gough—Stewart Parallel Manipulator using Leg Observations , 2007, Int. J. Robotics Res..

[13]  Huijun Gao,et al.  Saturated Adaptive Robust Control for Active Suspension Systems , 2013, IEEE Transactions on Industrial Electronics.

[14]  A. P,et al.  Mechanical Vibrations , 1948, Nature.

[15]  Qingfeng Wang,et al.  Adaptive Robust Precision Motion Control of Systems With Unknown Input Dead-Zones: A Case Study With Comparative Experiments , 2011, IEEE Transactions on Industrial Electronics.

[16]  A. K. Mallik,et al.  Dynamic stability index and vibration analysis of a flexible Stewart platform , 2007 .

[17]  Håkan Hjalmarsson,et al.  Iterative Data-Driven ${\cal H}_{\infty}$ Norm Estimation of Multivariable Systems With Application to Robust Active Vibration Isolation , 2014, IEEE Transactions on Control Systems Technology.

[18]  Hamid Reza Karimi,et al.  Allocation of Actuators and Sensors for Coupled-Adjacent-Building Vibration Attenuation , 2013, IEEE Transactions on Industrial Electronics.

[19]  William L. Cleghorn,et al.  Experimental Implementation on Vibration Mode Control of a Moving 3-PRR Flexible Parallel Manipulator with Multiple PZT Transducers , 2010 .

[20]  Keshav P. Dahal,et al.  Intelligent Learning Algorithms for Active Vibration Control , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[21]  Shaocheng Tong,et al.  Adaptive Fuzzy Control for a Class of Nonlinear Discrete-Time Systems With Backlash , 2014, IEEE Transactions on Fuzzy Systems.

[22]  Li-Min Zhu,et al.  Modeling and Compensation of Asymmetric Hysteresis Nonlinearity for Piezoceramic Actuators With a Modified Prandtl–Ishlinskii Model , 2014, IEEE Transactions on Industrial Electronics.

[23]  Jean-Pierre Merlet,et al.  Parallel Robots , 2000 .

[24]  Shaocheng Tong,et al.  Adaptive Fuzzy Identification and Control for a Class of Nonlinear Pure-Feedback MIMO Systems With Unknown Dead Zones , 2015, IEEE Transactions on Fuzzy Systems.

[25]  Oussama Khatib,et al.  Springer Handbook of Robotics , 2007, Springer Handbooks.

[26]  Frank L. Lewis,et al.  Dynamic analysis and control of a stewart platform manipulator , 1993, J. Field Robotics.

[27]  P. Lemonde,et al.  Ultrastable lasers based on vibration insensitive cavities , 2009, 0901.4717.

[28]  Jiancheng Fang,et al.  AMB Vibration Control for Structural Resonance of Double-Gimbal Control Moment Gyro With High-Speed Magnetically Suspended Rotor , 2013, IEEE/ASME Transactions on Mechatronics.

[29]  Takahiro Nozaki,et al.  Decoupling Strategy for Position and Force Control Based on Modal Space Disturbance Observer , 2014, IEEE Transactions on Industrial Electronics.

[30]  Kouhei Ohnishi,et al.  On the Explicit Robust Force Control via Disturbance Observer , 2015, IEEE Transactions on Industrial Electronics.

[31]  Ahmet Dumlu,et al.  Trajectory Tracking Control for a 3-DOF Parallel Manipulator Using Fractional-Order $\hbox{PI}^{\lambda}\hbox{D}^{\mu}$ Control , 2014, IEEE Transactions on Industrial Electronics.

[32]  Shaocheng Tong,et al.  Adaptive NN Tracking Control of Uncertain Nonlinear Discrete-Time Systems With Nonaffine Dead-Zone Input , 2015, IEEE Transactions on Cybernetics.

[33]  Michael Forsting,et al.  A novel passive functional MRI paradigm for preoperative identification of the somatosensory cortex , 2004, Neurosurgical Review.

[34]  S. Sommerfeldt Handbook of Noise and Vibration Control , 2008 .

[35]  Kyo-Il Lee,et al.  Robust nonlinear task space control for 6 DOF parallel manipulator , 2005, Autom..

[36]  Bin Yao,et al.  Desired Compensation Adaptive Robust Control , 1998, Dynamic Systems and Control.

[37]  Athanasios N. Safacas,et al.  Detection of Backlash Phenomena Appearing in a Single Cement Kiln Drive Using the Current and the Electromagnetic Torque Signature , 2013, IEEE Transactions on Industrial Electronics.

[38]  Zhijun Li,et al.  Adaptive Fuzzy Control for Synchronization of Nonlinear Teleoperators With Stochastic Time-Varying Communication Delays , 2011, IEEE Transactions on Fuzzy Systems.

[39]  Changyun Wen,et al.  Adaptive Backstepping Control of Uncertain Systems: Nonsmooth Nonlinearities, Interactions or Time-Variations , 2008 .

[40]  Janne Nerg,et al.  Hysteresis Losses in Sintered NdFeB Permanent Magnets in Rotating Electrical Machines , 2015, IEEE Transactions on Industrial Electronics.

[41]  Philippe Martinet,et al.  A Review on the Dynamic Control of Parallel Kinematic Machines: Theory and Experiments , 2009, Int. J. Robotics Res..

[42]  Honghai Liu,et al.  Adaptive Sliding-Mode Control for Nonlinear Active Suspension Vehicle Systems Using T–S Fuzzy Approach , 2013, IEEE Transactions on Industrial Electronics.

[43]  G. D. Marques,et al.  Permanent-magnets linear actuators applicability in automobile active suspensions , 2006, IEEE Transactions on Vehicular Technology.

[44]  A. Galip Ulsoy,et al.  Automotive Control Systems: Vehicle Control Systems , 2012 .

[45]  Bin Yao,et al.  Adaptive Robust Repetitive Control of an Industrial Biaxial Precision Gantry for Contouring Tasks , 2011, IEEE Transactions on Control Systems Technology.

[46]  Lu Ren,et al.  Integration of saturated PI synchronous control and PD feedback for control of parallel manipulators , 2006, IEEE Transactions on Robotics.

[47]  J. Keith Nisbett,et al.  Shigley's Mechanical Engineering Design , 1983 .

[48]  Shaocheng Tong,et al.  Barrier Lyapunov Functions-based adaptive control for a class of nonlinear pure-feedback systems with full state constraints , 2016, Autom..

[49]  Shaocheng Tong,et al.  Adaptive Fuzzy Control via Observer Design for Uncertain Nonlinear Systems With Unmodeled Dynamics , 2013, IEEE Transactions on Fuzzy Systems.

[50]  Jun Hu,et al.  Hysteretic Modeling of Output Characteristics of Giant Magnetoresistive Current Sensors , 2015, IEEE Transactions on Industrial Electronics.

[51]  Tao Zhang,et al.  Adaptive Sliding Mode Fault-Tolerant Control of the Uncertain Stewart Platform Based on Offline Multibody Dynamics , 2014, IEEE/ASME Transactions on Mechatronics.

[52]  Young-Cheol Lim,et al.  Acoustic Noise/Vibration Reduction of a Single-Phase SRM Using Skewed Stator and Rotor , 2013, IEEE Transactions on Industrial Electronics.

[53]  Zhen Gao,et al.  Optimal Kinematic Calibration of Parallel Manipulators With Pseudoerror Theory and Cooperative Coevolutionary Network , 2012, IEEE Transactions on Industrial Electronics.

[54]  Fengjiang Wu,et al.  Sampling Period Online Adjusting-Based Hysteresis Current Control Without Band With Constant Switching Frequency , 2015, IEEE Transactions on Industrial Electronics.

[55]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[56]  Marcel François Heertjes,et al.  Switching Control in Vibration Isolation Systems , 2013, IEEE Transactions on Control Systems Technology.

[57]  Emre Sariyildiz,et al.  Stability and Robustness of Disturbance-Observer-Based Motion Control Systems , 2019, IEEE Transactions on Industrial Electronics.