Gk. Fedder et Rt. Howe, MULTIMODE DIGITAL-CONTROL OF A SUSPENDED POLYSILICON MICROSTRUCTURE, Journal of microelectromechanical systems, 5(4), 1996, pp. 283-297
Digital control of a suspended 360 mu m x 380 mu m x 1.6 mu m-thick su
rface-micromachined polysilicon plate is demonstrated in three degrees
of freedom, with application to multimode accelerometers, vibratory r
ate gyroscopes, and actively positioned micromirrors, Plate displaceme
nt about the 2.2 mu m nominal position above the substrate is measured
with shielded capacitive sensors connected to CMOS buffer circuits fa
bricated adjacent to the microstructure. Four micromechanical sigma-de
lta loops are used to control eight electrostatic actuators that drive
the plate vertically (z) and in out-of-plane rotation (theta and phi)
. Resonant frequencies are 2.7 kHz for the theta rotational mode and 3
.7 kHz for both z and phi modes. The system is evaluated using a mixed
mechanical/electromechanical/circuit simulation in SPICE, Closed-loop
transient simulation of a 150-Hz square-wave position input signal is
in good agreement with experimental results. Squeeze-film damping lim
its the plate slew rate to 0.83 mm/s in air, Position is controlled to
within +/-25 nm, being limited by quantization noise at the 50 kHz sa
mpling rate.