Spatial decoupling control strategy of three-axis linear motor based on sliding mode controller

In this article, the three-axis motion platform built by linear motor is taken as the research object, and a new control scheme is designed to solve the problems of low operation accuracy and response speed when the three-axis motion system completes the spatial contour tracking task. This article establishes the spatial contour error model and effectively reduces the spatial contour error by designing an adaptive super-twisting decoupling sliding mode controller. At the same time, based on the finite-time reachability theory and adaptive control theory, the control strategy adopted in this article can improve the response speed of the system. And, the parameters of the controller can be adjusted adaptively according to the disturbance, thus enhancing the robustness of the system. The effectiveness of the control strategy is verified by simulation and experiment.

[1]  Ming Zhang,et al.  Accurate three-dimensional contouring error estimation and compensation scheme with zero-phase filter , 2018 .

[2]  Kemao Ma.  Comments on “Quasi-Continuous Higher Order Sliding-Mode Controllers for Spacecraft-Attitude-Tracking Maneuvers” , 2013, IEEE Transactions on Industrial Electronics.

[3]  Zebin Yang,et al.  Internal Model Control for a Bearingless Permanent Magnet Synchronous Motor Based on Inverse System Method , 2016, IEEE Transactions on Energy Conversion.

[4]  Lina Yao,et al.  Collaborative Fault Tolerant Control for Non‐Gaussian Stochastic Distribution Systems Based on Adaptive Control Strategy , 2019 .

[5]  Alexander S. Poznyak,et al.  Reaching Time Estimation for “Super-Twisting” Second Order Sliding Mode Controller via Lyapunov Function Designing , 2009, IEEE Transactions on Automatic Control.

[6]  Fairouz Tchier,et al.  Design of an adaptive tracker for n-link rigid robotic manipulators based on super-twisting global nonlinear sliding mode control , 2017, Int. J. Syst. Sci..

[7]  Chih-Chiang Chen,et al.  Study of Nonsingular Fast Terminal Sliding-Mode Fault-Tolerant Control , 2015, IEEE Transactions on Industrial Electronics.

[8]  Masayoshi Tomizuka,et al.  Contouring control of machine tool feed drive systems: a task coordinate frame approach , 2001, IEEE Trans. Control. Syst. Technol..

[9]  Zebin Yang,et al.  High-Performance Control for a Bearingless Permanent-Magnet Synchronous Motor Using Neural Network Inverse Scheme Plus Internal Model Controllers , 2016, IEEE Transactions on Industrial Electronics.

[10]  Ru Lai,et al.  The servo control system of three-axis video tracking platform , 2012 .

[11]  Shaowei Fan,et al.  Multifingered robot hand dynamic grasping control based on fingertip three-axis tactile sensor feedback , 2014, Proceeding of the 11th World Congress on Intelligent Control and Automation.

[12]  Ju H. Park,et al.  Observer-based quantized sliding mode $${\varvec{\mathcal {H}}}_{\varvec{\infty }}$$H∞ control of Markov jump systems , 2018 .

[13]  Wu Wang,et al.  Global Robust Terminal Sliding Mode Control for PMLSM Servo System , 2013 .

[14]  Ming-Yang Cheng,et al.  Motion Controller Design for Contour-Following Tasks Based on Real-Time Contour Error Estimation , 2007, IEEE Transactions on Industrial Electronics.

[15]  Arie Levant,et al.  Principles of 2-sliding mode design , 2007, Autom..

[16]  Katsuhisa Furuta,et al.  Frequency characteristics of Levant's differentiator and adaptive sliding mode differentiator , 2007 .

[17]  Naoki Uchiyama,et al.  Contouring control for three-axis machine tools based on nonlinear friction compensation for lead screws , 2016 .

[18]  Guanghui Sun,et al.  Practical Tracking Control of Linear Motor With Adaptive Fractional Order Terminal Sliding Mode Control , 2017, IEEE/ASME Transactions on Mechatronics.

[19]  Sun Yibiao.  Second Order Sliding Mode Control for Linear Motor XY Table Based on Equivalent Errors Method , 2010 .

[20]  Rong-Jong Wai,et al.  Fuzzy-Neural-Network Inherited Sliding-Mode Control for Robot Manipulator Including Actuator Dynamics , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[21]  Panfeng Huang,et al.  Dynamic modeling and Super-Twisting Sliding Mode Control for Tethered Space Robot , 2018 .

[22]  Perry Y. Li,et al.  Passive velocity field control of mechanical manipulators , 1995, IEEE Trans. Robotics Autom..

[23]  Zebin Yang,et al.  Precise control of a four degree-of-freedom permanent magnet biased active magnetic bearing system in a magnetically suspended direct-driven spindle using neural network inverse scheme , 2017 .

[24]  Pau-Lo Hsu,et al.  Estimation of the contouring error vector for the cross-coupled control design , 2002 .

[25]  Leonid M. Fridman,et al.  Implementation of Super-Twisting Control: Super-Twisting and Higher Order Sliding-Mode Observer-Based Approaches , 2016, IEEE Transactions on Industrial Electronics.