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Erschienen in: Microsystem Technologies 8/2017

11.01.2017 | Technical Paper

Modeling and tracking control of a novel XYθz stage

verfasst von: Kunhai Cai, Yanling Tian, Fujun Wang, Dawei Zhang, Xianping Liu, Bijan Shirinzadeh

Erschienen in: Microsystem Technologies | Ausgabe 8/2017

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Abstract

A XYθz stage is designed and experimentally tested. This developed stage is driven by three piezoelectric actuators (PZTs) and guided by a flexure hinge based mechanism with three symmetric T-shape hinges. It was manufactured monolithically by using wire electrical discharge machining technology. In addition, considering the both electrical and mechanical characteristics, a third-order dynamic model of the 3-DOF system has been established to investigate the relationship between the input voltage and the output displacement of the entire system. The parameters of the third-order dynamic model were estimated by using the system identification toolbox. Furthermore, decoupling control is also proposed to solve the existed coupling motion of the stage. In order to compensate the hysteresis of PZT, the inverse Bouc-Wen model was utilized as a feedforward hysteresis compensator. Finally, extensive experiments were performed to verify the good decoupling and tracking performances of the developed stage.

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Literatur
Zurück zum Zitat Adriaens HJMTA, Koning WLD, Banning R (2000) Modeling piezoelectric actuators. IEEE/ASME Trans Mechatron 5(4):331–341CrossRef Adriaens HJMTA, Koning WLD, Banning R (2000) Modeling piezoelectric actuators. IEEE/ASME Trans Mechatron 5(4):331–341CrossRef
Zurück zum Zitat Ando T (2014) High-speed AFM imaging. Curr Opin Struct Biol 28:63–68CrossRef Ando T (2014) High-speed AFM imaging. Curr Opin Struct Biol 28:63–68CrossRef
Zurück zum Zitat Bhagat U, Shirinzadeh B, Clark L, Chea P, Qin Y, Tian Y, Zhang D (2014) Design and analysis of a novel flexure-based 3-DOF mechanism. Mech Mach Theory 74:173–187CrossRef Bhagat U, Shirinzadeh B, Clark L, Chea P, Qin Y, Tian Y, Zhang D (2014) Design and analysis of a novel flexure-based 3-DOF mechanism. Mech Mach Theory 74:173–187CrossRef
Zurück zum Zitat Boukari A-F, Carmona J-C, Moraru G, Malburet F, Chaaba A, Douimi M (2011) Piezoactuators modeling for smart applications. Mechatronics 21(1):339–349CrossRef Boukari A-F, Carmona J-C, Moraru G, Malburet F, Chaaba A, Douimi M (2011) Piezoactuators modeling for smart applications. Mechatronics 21(1):339–349CrossRef
Zurück zum Zitat Gao P, Swei S (1999) A six-degree-of-freedom micro-manipulator based on piezoelectric translators. Nanotechnology 10(4):447–452CrossRef Gao P, Swei S (1999) A six-degree-of-freedom micro-manipulator based on piezoelectric translators. Nanotechnology 10(4):447–452CrossRef
Zurück zum Zitat Gao YS, Zhang DW, Yu CW (2001) Dynamic modeling of a novel workpiece table for active surface grinding control. Int J Mach Tools Manuf 41(4):609–624CrossRef Gao YS, Zhang DW, Yu CW (2001) Dynamic modeling of a novel workpiece table for active surface grinding control. Int J Mach Tools Manuf 41(4):609–624CrossRef
Zurück zum Zitat Goldfarb M, Celanovic N (1997) Modeling piezoelectric stack actuators for control of micromanipulation. IEEE Control Syst Mag 17(3):69–79CrossRefMATH Goldfarb M, Celanovic N (1997) Modeling piezoelectric stack actuators for control of micromanipulation. IEEE Control Syst Mag 17(3):69–79CrossRefMATH
Zurück zum Zitat Goldfarb M, Speich J (2000) The development of a split-tube flexure. ASME Dyn Control Div 2:861–866 Goldfarb M, Speich J (2000) The development of a split-tube flexure. ASME Dyn Control Div 2:861–866
Zurück zum Zitat Guo Z, Tian Y, Liu C, Wang F, Liu X, Shirinzadeh B, Zhang D (2015) Design and control methodology of a 3-DOF flexure-based mechanism for micro/nano positioning. Robot Comput Integr Manuf 32:93–105CrossRef Guo Z, Tian Y, Liu C, Wang F, Liu X, Shirinzadeh B, Zhang D (2015) Design and control methodology of a 3-DOF flexure-based mechanism for micro/nano positioning. Robot Comput Integr Manuf 32:93–105CrossRef
Zurück zum Zitat Howell LL (2001) Compliant mechanisms. Wiley, New York Howell LL (2001) Compliant mechanisms. Wiley, New York
Zurück zum Zitat Jensen BD, Howell LL (2002) The modeling of cross-axis flexural pivots. Mech Mach Theory 37(5):461–476CrossRefMATH Jensen BD, Howell LL (2002) The modeling of cross-axis flexural pivots. Mech Mach Theory 37(5):461–476CrossRefMATH
Zurück zum Zitat Juhasz L, Maas J, Borovac B (2011) Parameter identification and hysteresis compensation of embedded piezoelectric stack actuators. Mechatronics 21(1):329–338CrossRef Juhasz L, Maas J, Borovac B (2011) Parameter identification and hysteresis compensation of embedded piezoelectric stack actuators. Mechatronics 21(1):329–338CrossRef
Zurück zum Zitat Kang D, Gweon D (2013) Analysis and design of a cartwheel-type flexure hinge. Precis Eng 37(1):33–43CrossRef Kang D, Gweon D (2013) Analysis and design of a cartwheel-type flexure hinge. Precis Eng 37(1):33–43CrossRef
Zurück zum Zitat Kim H, Gweon D (2012) Development of a compact and long range XYθz nano-positioning stage. Rev Sci Instrum 83(8):085102-1–085102-8 Kim H, Gweon D (2012) Development of a compact and long range XYθz nano-positioning stage. Rev Sci Instrum 83(8):085102-1–085102-8
Zurück zum Zitat Kim H, Ahn D, Gweon D (2012) Development of a novel 3-degrees of freedom flexure based positioning system. Rev Sci Instrum 83(5):055114-1–055114-11CrossRef Kim H, Ahn D, Gweon D (2012) Development of a novel 3-degrees of freedom flexure based positioning system. Rev Sci Instrum 83(5):055114-1–055114-11CrossRef
Zurück zum Zitat Lin C, Lin P (2012) Tracking control of a biaxial piezo-actuated positioning stage using generalized Duhem model. Comput Math Appl 64(5):766–787CrossRef Lin C, Lin P (2012) Tracking control of a biaxial piezo-actuated positioning stage using generalized Duhem model. Comput Math Appl 64(5):766–787CrossRef
Zurück zum Zitat Liu Y-T, Chang K-M, Li W-Z (2010) Model reference adaptive control for a piezo-positioning system. Precis Eng 34(1):62–69CrossRef Liu Y-T, Chang K-M, Li W-Z (2010) Model reference adaptive control for a piezo-positioning system. Precis Eng 34(1):62–69CrossRef
Zurück zum Zitat Low TS, Guo W (1995) Modeling of a three-layer piezoelectric bimorph beam with hysteresis. J MEMS 4(4):230–237CrossRef Low TS, Guo W (1995) Modeling of a three-layer piezoelectric bimorph beam with hysteresis. J MEMS 4(4):230–237CrossRef
Zurück zum Zitat Makoto F, Masato H, Sintaro M (2014) Generating sub-nanometer displacement using reduction mechanism consisting of torsional leaf spring hinges. Measurement Sci Rev 14(1):48–51 Makoto F, Masato H, Sintaro M (2014) Generating sub-nanometer displacement using reduction mechanism consisting of torsional leaf spring hinges. Measurement Sci Rev 14(1):48–51
Zurück zum Zitat Park J, Moon W (2010) Hysteresis compensation of piezoelectric actuators: the modified Rayleigh model. Ultrasonics 50(3):335–339CrossRef Park J, Moon W (2010) Hysteresis compensation of piezoelectric actuators: the modified Rayleigh model. Ultrasonics 50(3):335–339CrossRef
Zurück zum Zitat Park SS, Mostofa MG, Park CI, Mehrpouya M, Kim S (2014) Vibration assisted nano mechanical machining using AFM probe. CIRP Ann Manuf Technol 63(1):537–540CrossRef Park SS, Mostofa MG, Park CI, Mehrpouya M, Kim S (2014) Vibration assisted nano mechanical machining using AFM probe. CIRP Ann Manuf Technol 63(1):537–540CrossRef
Zurück zum Zitat Paros J, Weisbord L (1965) How to design flexure hinges. Mach Des 37:151–156 Paros J, Weisbord L (1965) How to design flexure hinges. Mach Des 37:151–156
Zurück zum Zitat Pei X, Yu J, Zong G, Bi S, Su H (2009) The modeling of cartwheel flexural hinges. Mech Mach Theory 44(10):1900–1909CrossRefMATH Pei X, Yu J, Zong G, Bi S, Su H (2009) The modeling of cartwheel flexural hinges. Mech Mach Theory 44(10):1900–1909CrossRefMATH
Zurück zum Zitat Polit S, Dong J (2011) Development of a high-bandwidth XY nanopositioning stage for high-rate micro/nano manufacturing. IEEE/ASME Trans Mechatron 16(4):724–733CrossRef Polit S, Dong J (2011) Development of a high-bandwidth XY nanopositioning stage for high-rate micro/nano manufacturing. IEEE/ASME Trans Mechatron 16(4):724–733CrossRef
Zurück zum Zitat Qin Y, Tian Y, Zhang D (2012) Design and dynamic modeling of a 2-DOF decoupled flexure-based mechanism. Chin J Mech Eng 25(4):688–696CrossRef Qin Y, Tian Y, Zhang D (2012) Design and dynamic modeling of a 2-DOF decoupled flexure-based mechanism. Chin J Mech Eng 25(4):688–696CrossRef
Zurück zum Zitat Qin Y, Shirinzadeh B, Zhang D, Tian Y (2013) Design and kinematics modeling of a novel 3-DOF monolithic manipulator featuring improved Scott-Russell mechanisms. J Mech Des 135(10):101004-1–101004-9CrossRef Qin Y, Shirinzadeh B, Zhang D, Tian Y (2013) Design and kinematics modeling of a novel 3-DOF monolithic manipulator featuring improved Scott-Russell mechanisms. J Mech Des 135(10):101004-1–101004-9CrossRef
Zurück zum Zitat Qin Y, Shirinzadeh B, Tian Y, Zhang D, Bhagat U (2014) Design and computational optimization of a decoupled 2-DOF monolithic mechanism. IEEE/ASME Trans Mech 19(3):872–881CrossRef Qin Y, Shirinzadeh B, Tian Y, Zhang D, Bhagat U (2014) Design and computational optimization of a decoupled 2-DOF monolithic mechanism. IEEE/ASME Trans Mech 19(3):872–881CrossRef
Zurück zum Zitat Rakotondrabe M (2011) Bouc-Wen modeling and inverse multiplicative structure to compensate hysteresis nonlinearity in piezoelectric actuators. IEEE Trans Autom Eng 8(2):428–431CrossRef Rakotondrabe M (2011) Bouc-Wen modeling and inverse multiplicative structure to compensate hysteresis nonlinearity in piezoelectric actuators. IEEE Trans Autom Eng 8(2):428–431CrossRef
Zurück zum Zitat Schotborgh WO, Kokkeler FG, Tragter H (2005) Dimensionless design graphs for flexure elements and a comparison between three flexure elements. Precis Eng 29(1):41–47CrossRef Schotborgh WO, Kokkeler FG, Tragter H (2005) Dimensionless design graphs for flexure elements and a comparison between three flexure elements. Precis Eng 29(1):41–47CrossRef
Zurück zum Zitat Smith ST (2000) Flexures: elements of elastic mechanisms. Gordon and Breach Science, New York Smith ST (2000) Flexures: elements of elastic mechanisms. Gordon and Breach Science, New York
Zurück zum Zitat Smith S, Badami V, Dale J, Xu Y (2000) Elliptical flexure hinges. Rev Sci Instrum 68(3):1474–1483CrossRef Smith S, Badami V, Dale J, Xu Y (2000) Elliptical flexure hinges. Rev Sci Instrum 68(3):1474–1483CrossRef
Zurück zum Zitat Tian Y, Shirinzadeh B, Zhang D (2009a) A flexure-based mechanism and control metrology for ultra-precision turning operation. Precis Eng 33(2):160–166CrossRef Tian Y, Shirinzadeh B, Zhang D (2009a) A flexure-based mechanism and control metrology for ultra-precision turning operation. Precis Eng 33(2):160–166CrossRef
Zurück zum Zitat Tian Y, Shirinzadeh B, Zhang D (2009b) A flexure-based five-bar mechanism for micro/nano manipulation. Sens Actuators A Phys 153(1):96–104CrossRef Tian Y, Shirinzadeh B, Zhang D (2009b) A flexure-based five-bar mechanism for micro/nano manipulation. Sens Actuators A Phys 153(1):96–104CrossRef
Zurück zum Zitat Tian Y, Shirinzadeh B, Zhang D, Liu X, Chetwynd D (2009c) Design and forward kinematics of the compliant micro-manipulator with lever mechanisms. Precis Eng 33(4):466–475CrossRef Tian Y, Shirinzadeh B, Zhang D, Liu X, Chetwynd D (2009c) Design and forward kinematics of the compliant micro-manipulator with lever mechanisms. Precis Eng 33(4):466–475CrossRef
Zurück zum Zitat Tian Y, Shirinzadeh B, Zhang D (2010a) Design and dynamics of a 3-DOF flexure-based parallel mechanism for micro/nano manipulation. Microelectron Eng 87(2):230–241CrossRef Tian Y, Shirinzadeh B, Zhang D (2010a) Design and dynamics of a 3-DOF flexure-based parallel mechanism for micro/nano manipulation. Microelectron Eng 87(2):230–241CrossRef
Zurück zum Zitat Tian Y, Shirinzadeh B, Zhang D (2010b) Closed-form compliance equations of filleted V-shaped flexure hinges for compliant mechanism design. Precis Eng 34(3):408–418CrossRef Tian Y, Shirinzadeh B, Zhang D (2010b) Closed-form compliance equations of filleted V-shaped flexure hinges for compliant mechanism design. Precis Eng 34(3):408–418CrossRef
Zurück zum Zitat Tian Y, Liu C, Liu X, Wang F, Li X, Qin Y, Zhang D, Shirinzadeh B (2014) Design, modeling and characterization of a 2-DOF precision positioning platform. Trans Inst Measurement Control. doi:10.1177/0142331214540692 Tian Y, Liu C, Liu X, Wang F, Li X, Qin Y, Zhang D, Shirinzadeh B (2014) Design, modeling and characterization of a 2-DOF precision positioning platform. Trans Inst Measurement Control. doi:10.​1177/​0142331214540692​
Zurück zum Zitat Ting Y, Jar H-C, Li C-C (2007) Measurement and calibration for Stewart micromanipulation system. Precis Eng 31(3):226–233CrossRef Ting Y, Jar H-C, Li C-C (2007) Measurement and calibration for Stewart micromanipulation system. Precis Eng 31(3):226–233CrossRef
Zurück zum Zitat Tomas T, Walter H, Hugo R, John L, Angeliki P, Abu S (2014) Dual-stage nanopositioning for high-speed scanning probe microscopy. IEEE/ASME Trans Mechatron 19(3):1035–1045CrossRef Tomas T, Walter H, Hugo R, John L, Angeliki P, Abu S (2014) Dual-stage nanopositioning for high-speed scanning probe microscopy. IEEE/ASME Trans Mechatron 19(3):1035–1045CrossRef
Zurück zum Zitat Trease B, Moon Y, Kota S (2005) Design of large-displacement compliant joints. ASME J Mech Des 127(4):788–798CrossRef Trease B, Moon Y, Kota S (2005) Design of large-displacement compliant joints. ASME J Mech Des 127(4):788–798CrossRef
Zurück zum Zitat Venanzi S, Giesen P, Parenti-Castelli V (2005) A novel technique for position analysis of planar compliant mechanisms. Mech Mach Theory 40(11):1224–1239MathSciNetCrossRefMATH Venanzi S, Giesen P, Parenti-Castelli V (2005) A novel technique for position analysis of planar compliant mechanisms. Mech Mach Theory 40(11):1224–1239MathSciNetCrossRefMATH
Zurück zum Zitat Wang F, Zhao X, Zhang D et al (2010) Design and control of a high-acceleration precision positioning system using a novel flexible decoupling mechanism. Proc Inst Mech Eng Part C J Mech Eng Sci 224(2):431–442CrossRef Wang F, Zhao X, Zhang D et al (2010) Design and control of a high-acceleration precision positioning system using a novel flexible decoupling mechanism. Proc Inst Mech Eng Part C J Mech Eng Sci 224(2):431–442CrossRef
Zurück zum Zitat Wang F, Zhao X, Zhang D et al (2011) Robust and precision control for a directly-driven XY table. Proc Inst Mech Eng Part C J Mech Eng Sci 225(5):1107–1120CrossRef Wang F, Zhao X, Zhang D et al (2011) Robust and precision control for a directly-driven XY table. Proc Inst Mech Eng Part C J Mech Eng Sci 225(5):1107–1120CrossRef
Zurück zum Zitat Wang F, Li J, Liu S, Zhao X, Zhang D, Tian Y (2014) An improved adaptive genetic algorithm for image segmentation and vision alignment used in microelectronic bonding. IEEE/ASME Trans Mechatron 19(3):916–923CrossRef Wang F, Li J, Liu S, Zhao X, Zhang D, Tian Y (2014) An improved adaptive genetic algorithm for image segmentation and vision alignment used in microelectronic bonding. IEEE/ASME Trans Mechatron 19(3):916–923CrossRef
Zurück zum Zitat Wang F, Ma Z, Gao W, Zhao X, Tian Y, Zhang D, Liang C (2015) Dynamic modelling and control of a novel XY positioning stage for semiconductor packaging. Trans Inst Measurement Control 37(2):177–189CrossRef Wang F, Ma Z, Gao W, Zhao X, Tian Y, Zhang D, Liang C (2015) Dynamic modelling and control of a novel XY positioning stage for semiconductor packaging. Trans Inst Measurement Control 37(2):177–189CrossRef
Zurück zum Zitat Xu Q (2014a) A novel compliant micropositioning stage with dual ranges and resolutions. Sens Actuators A Phys 205(1):6–14CrossRef Xu Q (2014a) A novel compliant micropositioning stage with dual ranges and resolutions. Sens Actuators A Phys 205(1):6–14CrossRef
Zurück zum Zitat Xu Q (2014b) Design and development of a compact flexure-based XY precision positioning system with centimeter range. IEEE Trans Ind Electron 61(2):893–903CrossRef Xu Q (2014b) Design and development of a compact flexure-based XY precision positioning system with centimeter range. IEEE Trans Ind Electron 61(2):893–903CrossRef
Zurück zum Zitat Zhang XY, Lin Y (2011) Adaptive tracking control for a class of pure-feedback non-linear systems including actuator hysteresis and dynamic uncertainties. IET Control Theory Appl 5(16):1868–1880MathSciNetCrossRef Zhang XY, Lin Y (2011) Adaptive tracking control for a class of pure-feedback non-linear systems including actuator hysteresis and dynamic uncertainties. IET Control Theory Appl 5(16):1868–1880MathSciNetCrossRef
Zurück zum Zitat Zhang D, Shirinzadeh B (2011) Dynamic modelling of a flexure-based mechanism for ultra-precision grinding operation. Precis Eng 35(4):554–565CrossRef Zhang D, Shirinzadeh B (2011) Dynamic modelling of a flexure-based mechanism for ultra-precision grinding operation. Precis Eng 35(4):554–565CrossRef
Metadaten
Titel
Modeling and tracking control of a novel XYθz stage
verfasst von
Kunhai Cai
Yanling Tian
Fujun Wang
Dawei Zhang
Xianping Liu
Bijan Shirinzadeh
Publikationsdatum
11.01.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Microsystem Technologies / Ausgabe 8/2017
Print ISSN: 0946-7076
Elektronische ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-016-3258-8

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