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A constraint in single-feedback Sigma Delta force-feedback loops with a discrete-time loop filter

Pieter Rombouts (UGent) , Johan Raman (UGent) and Ludo Weyten (UGent)
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Abstract
In this tutorial paper we review Sigma Delta force feedback for the read-out of Micro-Electro-Mechanical (MEMS) inertial sensors with a discrete time loop filter. First we focus on the single feedback structure (with only mechanical feedback). It is shown that in this situation the mechanical transfer function introduces a zero in the overall loop gain. This gives rise to a constraint in the realizable NTF. In theory this can be overcome by adding a pole to the controller. An alternative solution is to add an extra electrical feedback branch. The latter solution is considered more beneficial in terms of power consumption and chip area.

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Chicago
Rombouts, Pieter, Johan Raman, and Ludo Weyten. 2010. “A Constraint in Single-feedback Sigma Delta Force-feedback Loops with a Discrete-time Loop Filter.” In Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), 719–722. Budapest, Hungary: Eötvös Loránd University (ELTE).
APA
Rombouts, P., Raman, J., & Weyten, L. (2010). A constraint in single-feedback Sigma Delta force-feedback loops with a discrete-time loop filter. Proceedings of the 19th International symposium on Mathematical Theory of Networks and Systems (MTNS 2010) (pp. 719–722). Presented at the 19th International symposium on Mathematical Theory of Networks and Systems (MTNS 2010), Budapest, Hungary: Eötvös Loránd University (ELTE).
Vancouver
1.
Rombouts P, Raman J, Weyten L. A constraint in single-feedback Sigma Delta force-feedback loops with a discrete-time loop filter. Proceedings of the 19th International symposium on Mathematical Theory of Networks and Systems (MTNS 2010). Budapest, Hungary: Eötvös Loránd University (ELTE); 2010. p. 719–22.
MLA
Rombouts, Pieter, Johan Raman, and Ludo Weyten. “A Constraint in Single-feedback Sigma Delta Force-feedback Loops with a Discrete-time Loop Filter.” Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010). Budapest, Hungary: Eötvös Loránd University (ELTE), 2010. 719–722. Print.
@inproceedings{1013486,
  abstract     = {In this tutorial paper we review Sigma Delta force feedback for the read-out of Micro-Electro-Mechanical (MEMS) inertial sensors with a discrete time loop filter. First we focus on the single feedback structure (with only mechanical feedback). It is shown that in this situation the mechanical transfer function introduces a zero in the overall loop gain. This gives rise to a constraint in the realizable NTF. In theory this can be overcome by adding a pole to the controller. An alternative solution is to add an extra electrical feedback branch. The latter solution is considered more beneficial in terms of power consumption and chip area.},
  author       = {Rombouts, Pieter and Raman, Johan and Weyten, Ludo},
  booktitle    = {Proceedings of the 19th International symposium on Mathematical Theory of Networks and Systems (MTNS 2010)},
  isbn         = {9789633113707},
  language     = {eng},
  location     = {Budapest, Hungary},
  pages        = {719--722},
  publisher    = {E{\"o}tv{\"o}s Lor{\'a}nd University (ELTE)},
  title        = {A constraint in single-feedback Sigma Delta force-feedback loops with a discrete-time loop filter},
  year         = {2010},
}