Using dynamic voltage drive in a parallel-plate electrostatic actuator for full-gap travel range and positioning

The nonlinear dynamics of the parallel-plate electrostatically driven microstructure have been investigated with the objective of finding a dynamic voltage drive suitable for full-gap operation. Nonlinear dynamic modeling with phase-portrait presentation of both position and velocity of a realistic microstructure demonstrate that instability is avoided by a timely and sufficient reduction of the drive voltage. The simulation results are confirmed by experiments on devices fabricated in an epi-poly process. A 5.5-V peak harmonic drive voltage with frequency higher than 300 Hz allows repetitive microstructure motion up to 70% of gap without position feedback. The results of the analysis have been applied to the design of a new concept for positioning beyond the static pull-in limitation that does include position feedback. The measured instantaneous actuator displacement is compared with the desired displacement setting and, unlike traditional feedback, the voltage applied to the actuator is changed according to the comparison result between two values. The "low" level is below the static pull-in voltage and opposes the motion, thus bringing the structure back into a stable regime, while the "high" level is larger than the static pull-in voltage and will push the structure beyond the static pull-in displacement. Operation is limited only by the position jitter due to the time delay introduced by the readout circuits. Measurements confirm flexible operation up to a mechanical stopper positioned at 2 /spl mu/m of the 2.25 /spl mu/m wide gap with a 30 nm ripple.

[1]  Albert C. J. Luo,et al.  Nonlinear dynamics of a micro-electro-mechanical system with time-varying capacitors , 2004 .

[2]  T.G.H. Basten,et al.  Transient non-linear response of 'pull-in MEMS devices' including squeeze film effects , 1999 .

[3]  Alfredo Medio,et al.  Nonlinear Dynamics: Subject index , 2001 .

[4]  L. Rocha,et al.  Analysis and analytical modeling of static pull-In with application to MEMS-based voltage reference and process monitoring , 2004, Journal of Microelectromechanical Systems.

[5]  S. Krylov,et al.  Pull-in Dynamics of an Elastic Beam Actuated by Continuously Distributed Electrostatic Force , 2004 .

[6]  Stephen F. Bart,et al.  Design considerations for micromachined electric actuators , 1988 .

[7]  Timo Veijola,et al.  Compact Large-Displacement Model for Capacitive Accelerometer , 1999 .

[8]  Kristofer S. J. Pister,et al.  Analysis of closed-loop control of parallel-plate electrostatic microgrippers , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[9]  Katsuhiko Ogata,et al.  Modern control engineering (3rd ed.) , 1996 .

[10]  Bernhard E. Boser,et al.  A three-axis micromachined accelerometer with a CMOS position-sense interface and digital offset-trim electronics , 1999, IEEE J. Solid State Circuits.

[11]  B. Boser,et al.  DYNAMICS AND CONTROL OF PARALLEL-PLATE ACTUATORS BEYOND THE ELECTROSTATIC INSTABILITY , 1999 .

[12]  W. Riethmuller,et al.  Novel Process For A Monolithic Integrated Accelerometer , 1995, Proceedings of the International Solid-State Sensors and Actuators Conference - TRANSDUCERS '95.

[13]  S. Senturia,et al.  Speed-energy optimization of electrostatic actuators based on pull-in , 1999 .

[14]  J. Seeger,et al.  Stabilization of electrostatically actuated mechanical devices , 1997, Proceedings of International Solid State Sensors and Actuators Conference (Transducers '97).

[15]  Alfredo Medio,et al.  Nonlinear Dynamics: Contents , 2001 .

[16]  Bernhard E. Boser,et al.  Charge control of parallel-plate, electrostatic actuators and the tip-in instability , 2003 .

[17]  Michel Wautelet,et al.  Scaling laws in the macro-, micro- and nanoworlds , 2001 .

[18]  Rajesh Rajamani,et al.  A high-aspect-ratio two-axis electrostatic microactuator with extended travel range , 2002 .

[19]  M. Esashi,et al.  Micro-discharge and electric breakdown in a micro-gap , 2000 .

[20]  Timo Veijola,et al.  Extending the validity of squeezed-film damper models with elongations of surface dimensions , 2005 .

[21]  J. J. Blech On Isothermal Squeeze Films , 1983 .

[22]  Luiz A. Rocha,et al.  Analytical Model for the Pull-in Time of Low-Q MEMS Devices , 2004 .

[23]  S. Senturia,et al.  M-TEST: A test chip for MEMS material property measurement using electrostatically actuated test structures , 1997 .

[24]  Gary K. Fedder,et al.  Low-Order Squeeze Film Model for Simulation of MEMS Devices , 2000 .

[25]  Luis Castañer,et al.  Analysis of the extended operation range of electrostatic actuators by current-pulse drive , 2001 .

[26]  Timo Veijola,et al.  Extending the Validity of Existing Squeezed-Film Damper Models with Elongations of Surface Dimensions , 2004 .

[27]  H. Troger,et al.  Nonlinear stability and bifurcation theory , 1991 .

[28]  E. Cretu,et al.  Displacement Model for Dynamic PullIn Analysis and Application in Large-Stroke Electrostatic Actuators , 2003 .

[29]  H. Nathanson,et al.  The resonant gate transistor , 1967 .

[30]  Reinoud F. Wolffenbuttel,et al.  Spectral analysis through electromechanical coupling , 2000 .

[31]  T. Veijola,et al.  Equivalent-circuit model of the squeezed gas film in a silicon accelerometer , 1995 .

[32]  R.W. Dutton,et al.  Electrostatic micromechanical actuator with extended range of travel , 2000, Journal of Microelectromechanical Systems.

[33]  H. Tilmans,et al.  Electrostatically driven vacuum-encapsulated polysilicon resonators part II. theory and performance , 1994 .

[34]  Wouter Olthuis,et al.  A sensitive differential capacitance to voltage converter for sensor applications , 1999, IEEE Trans. Instrum. Meas..

[35]  E. S. Hung,et al.  Extending the travel range of analog-tuned electrostatic actuators , 1999 .

[36]  A. Dehe,et al.  Current drive methods to extend the range of travel of electrostatic microactuators beyond the voltage pull-in point , 2002 .

[37]  Khalil Najafi,et al.  Internal stress compensation and scaling in ultrasensitive silicon pressure sensors , 1992 .