Piezoelectric Actuated Phase Shifter Based on External Laser Interferometer: Design, Control and Experimental Validation

To improve the phase-shifting accuracy, this paper presents a novel integrated framework for design, control and experimental validation of the piezoelectric actuated phase shifter with a trade-off between accuracy and cost. The piezoelectric actuators with built-in sensors are adopted to drive the double parallel four-bar linkage flexure hinge-based mechanisms. Three mechanisms form the tripod structure of the assembled phase shifter. Then, a semi-closed loop controller with inner feedback and outer feedforward loops via the external laser interferometer is developed for accurate positioning of the phase shifter. Finally, experiments related with travel range, step response, linearity and repeatability are carried out. The linearity error is 0.21% and the repeatability error of 10 μm displacement is 3 nm. The results clearly demonstrate the good performance of the developed phase shifter and the feasibility of the proposed integrated framework.

[1]  Nur Azah Hamzaid,et al.  Development of a Micro-Gripper Using Piezoelectric Bimorphs , 2013, Sensors.

[2]  S O R Moheimani,et al.  Invited review article: high-speed flexure-guided nanopositioning: mechanical design and control issues. , 2012, The Review of scientific instruments.

[3]  Xianghong Zhong,et al.  Phase-step calibration technique based on a two-run-times-two-frame phase-shift method. , 2006, Applied optics.

[4]  Jae Hong Park,et al.  A Compact Vertical Scanner for Atomic Force Microscopes , 2010, Sensors.

[5]  Yun Li,et al.  PID control system analysis, design, and technology , 2005, IEEE Transactions on Control Systems Technology.

[6]  Peiyue Li,et al.  A simple fuzzy system for modelling of both rate-independent and rate-dependent hysteresis in piezoelectric actuators , 2013 .

[7]  Qingsong Xu,et al.  A Novel Piezoactuated XY Stage With Parallel, Decoupled, and Stacked Flexure Structure for Micro-/Nanopositioning , 2011, IEEE Transactions on Industrial Electronics.

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

[9]  Xuesong Mei,et al.  Modelling and Analysis of a New Piezoelectric Dynamic Balance Regulator , 2012, Sensors.

[10]  Peiyue Li,et al.  Adaptive Fuzzy Hysteresis Internal Model Tracking Control of Piezoelectric Actuators With Nanoscale Application , 2016, IEEE Transactions on Fuzzy Systems.

[11]  J C Wyant,et al.  Phase shifter calibration in phase-shifting interferometry. , 1985, Applied optics.

[12]  Han Ding,et al.  Motion Control of Piezoelectric Positioning Stages: Modeling, Controller Design, and Experimental Evaluation , 2013, IEEE/ASME Transactions on Mechatronics.

[13]  Nezih Mrad,et al.  Dynamic and static modelling of piezoelectric composite structures using a thermal analogy with MSC/NASTRAN , 2004 .

[14]  Mao-Hsiung Chiang,et al.  Development of X-Y Servo Pneumatic-Piezoelectric Hybrid Actuators for Position Control with High Response, Large Stroke and Nanometer Accuracy , 2010, Sensors.

[15]  Lei Zhou,et al.  Improving Atomic Force Microscopy Imaging by a Direct Inverse Asymmetric PI Hysteresis Model , 2015, Sensors.

[16]  Zhigang Chen,et al.  Optical disassembly of cellular clusters by tunable ‘tug-of-war’ tweezers , 2016, Light, science & applications.

[17]  Lorenzo Ciani,et al.  Repeatability and Reproducibility techniques for the analysis of measurement systems , 2016 .

[18]  Guang-Can Guo,et al.  Orbital angular momentum photonic quantum interface , 2016, Light, science & applications.

[19]  Tao Chen,et al.  Topologically Optimized Nano-Positioning Stage Integrating with a Capacitive Comb Sensor , 2017, Sensors.

[20]  Rémy Braive,et al.  High-finesse Fabry–Perot cavities with bidimensional Si3N4 photonic-crystal slabs , 2016, Light: Science & Applications.

[21]  Changhui Rao,et al.  Phase-shifts n pi/2 calibration method for phase-stepping interferometry. , 2009, Optics express.

[22]  Mohammad H. Dado,et al.  A new technique for large deflection analysis of non-prismatic cantilever beams , 2005 .

[23]  Hwa Soo Kim,et al.  Design and modeling of a novel 3-DOF precision micro-stage , 2009 .

[24]  Roberto A. Braga,et al.  Phase-shifting of correlation fringes created by image processing as an alternative to improve digital shearography , 2016 .

[25]  Robert X. Gao,et al.  A Novel Hybrid Error Criterion-Based Active Control Method for on-Line Milling Vibration Suppression with Piezoelectric Actuators and Sensors , 2016, Sensors.

[26]  Yanling Tian,et al.  Investigation of a 3-DOF micro-positioning table for surface grinding , 2006 .