Design, testing and precision control of a novel long-stroke flexure micropositioning system

Abstract This paper presents the design, modeling, analysis, testing and control of a novel compact long-stroke precision positioning stage. The stage is devised with leaf flexures to achieve a submicron-accuracy positioning with a stroke longer than 10 mm. Stage architectural parameters are designed to achieve the maximum natural frequency and then further improved to ensure a robust motion along the working axis. A voice coil motor and a laser displacement sensor are adopted for actuation and sensing of the fabricated stage, respectively. Both finite-element analysis and experimental tests confirm a motion range over 11 mm. To facilitate a rapid and precise positioning in front of nonlinear effects, a discrete-time sliding mode control (DSMC) algorithm based on a proportional–integral-derivative (PID) type of sliding function is devised. The DSMC guarantees the stability of the system in the presence of model uncertainties and disturbances. The effectiveness of the presented DSMC is verified through experimental studies. Results show that the DSMC is superior to PID algorithm in terms of both transient response speed and steady-state accuracy.

[1]  R. T. Ratliff,et al.  Design, modeling, and seek control of a voice-coil motor actuator with nonlinear magnetic bias , 2005, IEEE Transactions on Magnetics.

[2]  Dae-Gab Gweon,et al.  A millimeter-range flexure-based nano-positioning stage using a self-guided displacement amplification mechanism , 2012 .

[3]  Qingsong Xu,et al.  Design and implementation of a novel rotary micropositioning system driven by linear voice coil motor. , 2013, The Review of scientific instruments.

[4]  Jiro Otsuka,et al.  Development of a small ultraprecision positioning device with 5 nm resolution , 2005 .

[5]  Tien-Fu Lu,et al.  Review of circular flexure hinge design equations and derivation of empirical formulations , 2008 .

[6]  Jian-Xin Xu,et al.  Discrete-Time Output Integral Sliding-Mode Control for a Piezomotor-Driven Linear Motion Stage , 2008, IEEE Transactions on Industrial Electronics.

[7]  Jiong Tang,et al.  Design of a linear-motion dual-stage actuation system for precision control , 2009 .

[8]  Leang-San Shieh,et al.  Digital controller design for Bouc–Wen model with high-order hysteretic nonlinearities through approximated scalar sign function , 2011, Int. J. Syst. Sci..

[9]  Shorya Awtar,et al.  Design of a Large Range XY Nanopositioning System , 2010 .

[10]  Qingsong Xu,et al.  Analytical modeling, optimization and testing of a compound bridge-type compliant displacement amplifier , 2011 .

[11]  O. Kaynak,et al.  On the stability of discrete-time sliding mode control systems , 1987 .

[12]  Mei-Yung Chen,et al.  Adaptive sliding mode controller design of a dual-axis Maglev positioning system , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[13]  Qingsong Xu,et al.  New Flexure Parallel-Kinematic Micropositioning System With Large Workspace , 2012, IEEE Transactions on Robotics.

[14]  M. Tarokh A discrete-time adaptive control scheme for robot manipulators , 1990, J. Field Robotics.

[15]  Placid Mathew Ferreira,et al.  Design analysis, fabrication and testing of a parallel-kinematic micropositioning XY stage , 2007 .

[16]  Qingsong Xu,et al.  Design and Development of a Compact Flexure-Based $XY$ Precision Positioning System With Centimeter Range , 2014, IEEE Transactions on Industrial Electronics.

[17]  G. K. Ananthasuresh,et al.  A Spring-mass-lever Model, Stiffness and Inertia Maps for Single-input, Single-output Compliant Mechanisms , 2012 .

[18]  Xinghuo Yu,et al.  Sliding-Mode Control With Soft Computing: A Survey , 2009, IEEE Transactions on Industrial Electronics.

[19]  Hakan Elmali,et al.  Implementation of sliding mode control with perturbation estimation (SMCPE) , 1996, IEEE Trans. Control. Syst. Technol..

[20]  Kwang-Yeol Kim,et al.  Robust design of a novel three-axis fine stage for precision positioning in lithography , 2010 .

[21]  Qingsong Xu,et al.  Design and Development of a Flexure-Based Dual-Stage Nanopositioning System With Minimum Interference Behavior , 2012, IEEE Transactions on Automation Science and Engineering.

[22]  Haibo Huang,et al.  Robotic Cell Injection System With Position and Force Control: Toward Automatic Batch Biomanipulation , 2009, IEEE Transactions on Robotics.

[23]  Byung Kyu Kim,et al.  Institute of Physics Publishing Smart Materials and Structures a Superelastic Alloy Microgripper with Embedded Electromagnetic Actuators and Piezoelectric Force Sensors: a Numerical and Experimental Study , 2022 .

[24]  James F. Cuttino,et al.  Design and testing of a long-range, precision fast tool servo system for diamond turning , 2009 .

[25]  Jie Gu,et al.  Six-axis nanopositioning device with precision magnetic levitation technology , 2004, IEEE/ASME Transactions on Mechatronics.

[26]  Der-An Wang,et al.  Application of discrete-time variable structure control in the vibration reduction of a flexible structure , 2003 .

[27]  P. Royer,et al.  Enlarged atomic force microscopy scanning scope: novel sample-holder device with millimeter range. , 2007, The Review of scientific instruments.

[28]  Qingsong Xu,et al.  Model Predictive Discrete-Time Sliding Mode Control of a Nanopositioning Piezostage Without Modeling Hysteresis , 2012, IEEE Transactions on Control Systems Technology.

[29]  Yan Liang Zhang,et al.  A Load-Lock-Compatible Nanomanipulation System for Scanning Electron Microscope , 2013, IEEE/ASME Transactions on Mechatronics.

[30]  Michaël Gauthier,et al.  Control of a particular micro-macro positioning system applied to cell micromanipulation , 2006, IEEE Transactions on Automation Science and Engineering.