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8.4 Future Inertial Micromachined Sensors                                     207

                      Levitation using magnetic forces has been investigated by Shearwood et al. [72,
                  73], who successfully demonstrated a gyroscope based on this approach. The elec-
                  tromagnetic forces are produced by currents up to 1A, which precludes the use of
                  standard integrated electronics, which is a severe disadvantage of this approach. A
                  more promising approach is to use electrostatic forces to levitate and spin a disk.
                  Fukatsu et al. [74] have developed a prototype of such a device and have demon-
                  strated the feasibility of using it for simultaneously detecting linear and angular
                  motion. Houlihan et al. [75] present the design and simulation of a similar device
                  for three-axis acceleration measurement, which is also suitable to detect angular
                  motion about two axes if rotated. Here, the micromachined disk is incorporated in a
                  multipath sigma-delta modulator control system. A system-level diagram of the sen-
                  sor is shown in Figure 8.30.
                      It should be emphasized here that these devices are promising and interesting
                  approaches to future inertial sensors. It will take considerable effort and time, how-
                  ever, to develop them into commercial products.






                                                      4   Signal
                                                          pick-off  Compensator     T
                                                      4                              s  Digital
                                                           ∆C    4    s+s 0  4          output
                                                      4       ∆V      s+s p
                                                                  4
                                               C 1T
                                                1T
                                         C C C 2T  C  C C 1T              4
                                         C 2T
                                         2T
                                         2T
                                    C 3T    C 4T 1T                  V fb
                                  Levitated Disk            4                  z
                                         C 2B
                                       C 2B C 2B  C 1B                           θ   y
                                            C 4B
                                    C  C 3B  C 4B                    V              φ
                                     C 3B
                                     3B    C 4B                       fb
                                                            4                          x
                  Figure 8.30  An electrostatically levitated disk, which is spun about the z-axis, can be used to
                  measure three-axis linear acceleration and angular velocity about two axes (x and y) and control
                  system. (After: [75].)




            References

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