Skip to main content
Log in

Decoupling and control of micromotion stage based on hysteresis of piezoelectric actuation

  • Technical Paper
  • Published:
Microsystem Technologies Aims and scope Submit manuscript

Abstract

This paper presents the mechanism and control design of a micro-motion stage, which employs the right-angle flexure hinges and piezoelectric actuators (PZT). Aiming at the mechanism with the characteristics of a large stroke and three degrees of freedom, analytical models of statics and dynamics are established; especially the coupling motions of stage are investigated, which are verified by finite element analysis simulation. Via open-loop experiment, the decoupling property is well certified. Owing to the hysteresis of PZT, the dynamic equation of system with Bouc–Wen hysteresis model is proposed, which is identified through the Least squares. Moreover, a closed-loop controller of proportion integral derivative combined with the inverse hysteresis model-based feedforward is developed to reduce the nonlinearity and uncertainty, which can improve the positioning accuracy. Besides, the single-axis and multi-axis motions are tested. Experimental results reveal that the stage has a well-decoupling performance, and the effectiveness of proposed Bouc–Wen model is validated under open-loop control. Furthermore, the micro-motion performance in single- and multi-axis motions can be achieved as well.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

References

  • Choi KB, Han CS (2007) Optimal design of a compliant mechanism with circular notch flexure hinges. Proc Inst Mech Eng Part C J Mech Eng Sci 221:385–392

    Article  Google Scholar 

  • Clark L, Shirinzadeh B, Bhagat U, Smith J, Zhong Y (2015) Development and control of a two DOF linear–angular precision positioning stage. Mechatronics 32:34–43

    Article  Google Scholar 

  • Dong R, Tan Y, Xie Y, Janschek K (2016) Recursive identification of micropositioning stage based on sandwich model with hysteresis. IEEE Trans Control Syst Technol 25:317–325

    Article  Google Scholar 

  • Howell LL (2013) Compliant mechanisms. 21st Century Kinematics. Springer, London, pp 457–463

    Google Scholar 

  • Jiang Y, Li TM, Wang LP (2015) Stiffness modeling of compliant parallel mechanisms and applications in the performance analysis of a decoupled parallel compliant stage. Rev Sci Instrum 86:095109

    Article  Google Scholar 

  • Kim JH, Kim SH, Kwak YK (2003) Development of a piezoelectric actuator using a three-dimensional bridge-type hinge mechanism. Rev Sci Instrum 74:2918–2924

    Article  Google Scholar 

  • Kim YS, Yoo JM, Yang SH, Choi YM, Dagalakis NG, Gupta SK (2012) Design, fabrication and testing of a serial kinematic mems xy stage for multifinger manipulation. J Micromech Microeng 22(22):85029–85038

    Article  Google Scholar 

  • Kuhnen K (2003) Modeling, identification and compensation of complex hysteretic nonlinearities: a modified Prandtl-Ishlinskii approach. Eur J Control 9:407–418

    Article  MATH  Google Scholar 

  • Li Y, Huang J, Tang H (2012) A compliant parallel XY micromotion stage with complete kinematic decoupling. IEEE Trans Autom Sci Eng 9:538–553

    Article  Google Scholar 

  • Lin CJ, Yang SR (2006) Precise positioning of piezo-actuated stages using hysteresis-observer based control. Mechatronics 16:417–426

    Article  Google Scholar 

  • Lin C, Wu Z, Ren Y, Yu H (2016) Characteristic analysis of unidirectional multi-driven and large stroke micro/nano-transmission platform. Microsyst Technol 23:3389–3400

    Article  Google Scholar 

  • Lin C, Shen Z, Wu Z, Yu J (2018a) Kinematic characteristic analysis of a micro-/nano positioning stage based on bridge-type amplifier. Sens Actuators, A 271:230–242

    Article  Google Scholar 

  • Lin C, Shen Z, Yu J, Li P, Huo D (2018b) Modelling and analysis of characteristics of a piezoelectric-actuated micro-/nano compliant platform using bond graph approach. Micromachines 9(10):498

    Article  Google Scholar 

  • Ling M, Cao J, Jiang Z, Lin J (2017) Modular kinematics and statics modeling for precision positioning stage. Mech Mach Theory 107:274–282

    Article  Google Scholar 

  • Liu P, Yan P, Zhang Z (2015) Design and analysis of an X–Y parallel nanopositioner supporting large-stroke servomechanism. Proc Inst Mech Eng Part C J Mech Eng Sci 229:364–376

    Article  Google Scholar 

  • Razman MA, Priyandoko G, Yusoff AR (2014) Bouc-wen model parameter identification for a mr fluid damper using particle swarm optimization. Adv Mater Res 903:279–284

    Article  Google Scholar 

  • Shan Y, Leang KK (2012) Dual-stage repetitive control with Prandtl-Ishlinskii hysteresis inversion for piezo-based nanopositioning. Mechatronics 22:271–281

    Article  Google Scholar 

  • Shan MC, Wang WM, Ma SY, Liu S, Xie H (2012) Analysis and design of large stroke series flexure mechanism. Nanotechnol Precis Eng 10(3):268–272

    Google Scholar 

  • Song G, Zhao J, Zhou X, Abreu-Garcia JAD (2005) Tracking control of a piezoceramic actuator with hysteresis compensation using inverse Preisach model. IEEE/ASME Trans Mechatron 10:198–209

    Article  Google Scholar 

  • Tian Y, Shirinzadeh B, Zhang D, Zhong Y (2011) Modelling and analysis of a three-revolute parallel micro-positioning mechanism. Proc Inst Mech Eng Part C J Mech Eng Sci 225:1273–1286

    Article  Google Scholar 

  • Wang DH, Zhu W (2011) A phenomenological model for pre-stressed piezoelectric ceramic stack actuators. Smart Mater Struct 20(3):035018

    Article  Google Scholar 

  • Wei Q, Zhang C, Zhang D, Zhang CJ (2014) Sliding-mode control for piezoelectric actuators based on hysteresis observer. Key Eng Mater 609–610:1271–1276

    Article  Google Scholar 

  • Weibel F, Michellod Y, Mullhaupt P, Gillet D (2008) Real-time compensation of hysteresis in a piezoelectric-stack actuator tracking a stochastic reference. In: American control conference, pp 2939–2944, 11 Jun 2008

  • Xu Q (2013) Design and development of a compact flexure-based XY precision positioning system with centimeter range. IEEE Trans Industr Electron 61:893–903

    Article  Google Scholar 

  • Yeh TJ, Ruo-Feng H, Shin-Wen L (2008) An integrated physical model that characterizes creep and hysteresis in piezoelectric actuators. Simul Model Pract Theory 16(1):93–110

    Article  Google Scholar 

  • Zhang X, Zhang Y, Xu Q (2017) Design and control of a novel piezo-driven XY parallel nanopositioning stage. Microsyst Technol 23:1067–1080

    Article  Google Scholar 

  • Zubir MNM, Shirinzadeh B, Tian Y (2009) Development of novel hybrid flexure-based microgrippers for precision micro-object manipulation. Rev Sci Instrum 80:065106

    Article  Google Scholar 

Download references

Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 51675060) and the Fundamental Research Funds for the Central Universities (No. 106112017CDJPT280002).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chao Lin.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lin, C., Yu, J., Wu, Z. et al. Decoupling and control of micromotion stage based on hysteresis of piezoelectric actuation. Microsyst Technol 25, 3299–3309 (2019). https://doi.org/10.1007/s00542-019-04501-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00542-019-04501-4

Navigation