Skip to main content
Log in

Analysis and dynamic simulation of the synthetic voltage division controller for extending the parallel plate actuator stable range of motion

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

Abstract

Parallel-plate actuators (PPAs) are useful in micro-electro-mechanical systems (MEMS) devices. The main drawback of a PPA is that it has limited stable motion range. The series capacitor method (SCM) is a common way to solve this issue. However, the SCM requires a much higher voltage input to drive the PPA and series capacitor, and it is deleteriously affected by parasitic capacitance in parallel with the PPA. Additionally, it is usually difficult to obtain a sufficiently small series capacitor, which has to be no greater than half of the minimum capacitance of the PPA. In this work, a synthetic voltage division (SVD) controller is proposed to solve these problems. Firstly, this paper reviews the system dynamics of PPAs and the SCM. The effects of parasitic capacitance are also explored. Then, the SVD controller is presented in detail. It is demonstrated through simulation that the SVD controller can increase the stable range of motion while reducing the required input voltage and cancelling the effect of the parasitic capacitance.

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

Similar content being viewed by others

References

  • Aditi, Gopal R (2016) Fabrication of mems xylophone magnetometer by anodic bonding technique using soi wafer. Microsys Technol 1–10. doi: 10.1007/s00542-016-2812-8

  • Amakawa H, Fukuzawa K, Shikida M, Tsuji H, Zhang H, Itoh S (2012) An electrostatic actuator for dual-axis micro-mechanical probe on friction force microscope. Sens Actuators A Phys 175:94–100

    Article  Google Scholar 

  • Bakri-Kassem M, Mansour R (2006) High tuning range parallel plate mems variable capacitors with arrays of supporting beams. In: Micro electro mechanical systems, 2006. MEMS 2006 Istanbul. 19th IEEE International Conference, pp 666–669

  • Bao M et al. (2000) Handbook of sensors and actuators. Elsevier, New York

    Google Scholar 

  • Chiou J, Lin Y (2001) A novel capacitance control design of tunable capacitor using multiple electrostatic driving electrodes. In: Nanotechnology, 2001. IEEE-NANO 2001. Proceedings of the 2001 1st IEEE Conference, pp 319–324

  • Choi JM, Hwang SU, Kim CH, Yang HH, Jung C, Park HG, Yoon JB, Choi YK (2012) An electrostatic micromechanical biosensor for electrical detection of label-free dna. Appl Phys Lett 100(16):163–701

  • Dean RN, Wilson C, Brunsch JP, Hung JY (2011) A synthetic voltage division controller to extend the stable operating range of parallel plate actuators. In: Control applications (CCA), 2011 IEEE International Conference, pp 1068–1074

  • Duwel A, Weinstein M, Gorman J, Borenstein J, Ward P (2002) Quality factors of mems gyros and the role of thermoelastic damping. In: Micro electro mechanical systems, 2002. The Fifteenth IEEE International Conference, pp 214–219

  • Gropp S, Frank A, Fischer M, Schaffel C, Muller J, Hoffmann M (2015) Electrostatic parallel-plate mems switch on silicon-ceramic-composite-substrates. In: Microwave conference (GeMiC), 2015 German, IEEE, pp 414–417

  • Hosseini M, Zhu G, Peter YA (2007) A new formulation of fringing capacitance and its application to the control of parallel-plate electrostatic micro actuators. Anal Integr Circ Signal Proc 53(2–3):119–128

    Article  Google Scholar 

  • Kraft M, Lewis C, Hesketh T, Szymkowiak S (1998) A novel micromachined accelerometer capacitive interface. Sens Actuators A Phys 68(1):466–473

    Article  Google Scholar 

  • Li C, Dean RN, Flowers GT (2015) Nonlinear circuit analysis technique for microelectromechanical systems with a time-variant capacitor and an ac power source. Micro Nano Lett IET 10(11):637–640

    Article  Google Scholar 

  • Lu MC, Fedder GK (2004) Position control of parallel-plate microactuators for probe-based data storage. Microelectromech Syst J 13(5):759–769

    Article  Google Scholar 

  • Maithripala D, Berg JM, Dayawansa W (2003) Nonlinear dynamic output feedback stabilization of electrostatically actuated mems. In: Decision and control, 2003. Proceedings. 42nd IEEE Conference, vol 1, pp 61–66

  • Moreira E, Alves F, Dias R, Costa M, Fonseca H, Cabral J, Gaspar J, Rocha L (2015) Bi-directional extended range parallel plate electrostatic actuator based on feedback linearization. In: Micro electro mechanical systems (MEMS), 2015 28th IEEE International Conference, pp 1036–1039

  • Pelliccia L, Cacciamani F, Farinelli P, Sorrentino R (2015) High-tunable waveguide filters using ohmic rf mems switches. Microwave Theory Tech IEEE Trans 63(10):3381–3390

    Article  Google Scholar 

  • Seeger JI, Boser BE (2003a) Charge control of parallel-plate, electrostatic actuators and the tip-in instability. Microelectromech Syst J 12(5):656–671

    Article  Google Scholar 

  • Seeger JI, Boser BE (2003b) Negative capacitance for control of gap-closing electrostatic actuators. In: TRANSDUCERS, solid-state sensors, actuators and microsystems, 12th International Conference on, 2003, IEEE, vol 1, pp 484–487

  • Sun W, Yeow J, Sun Z (2012) Robust adaptive control of a one degree of freedom electrostatic microelectromechanical systems model with output-error-constrained tracking. Control Theory Appl IET 6(1):111–119

    Article  MathSciNet  Google Scholar 

  • Sundaram A, Maddela M, Ramadoss R, Feldner LM (2008) Mems-based electronically steerable antenna array fabricated using pcb technology. Microelectromech Syst J 17(2):356–362

    Article  Google Scholar 

  • Vagia M, Tzes A (2008) Robust pid control design for an electrostatic micromechanical actuator with structured uncertainty. IET Control Theory Appl 2(5):365–373

    Article  MathSciNet  Google Scholar 

  • Weinberger S, Nguyen TT, Lecomte R, Cheriguen Y, Ament C, Hoffmann M (2016) Linearized control of an uniaxial micromirror with electrostatic parallel-plate actuation. Microsystem Technol 22(2):441–447

    Article  Google Scholar 

  • Zhang J, Zhang Z, Lee Y, Bright VM, Neff J (2003) Design and investigation of multi-level digitally positioned micromirror for open-loop controlled applications. Sensors Actuators A Phys 103(1):271–283

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chong Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, C., Dean, R.N. & Flowers, G.T. Analysis and dynamic simulation of the synthetic voltage division controller for extending the parallel plate actuator stable range of motion. Microsyst Technol 23, 1125–1130 (2017). https://doi.org/10.1007/s00542-016-2903-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00542-016-2903-6

Keywords

Navigation