Stability Analysis in High-Order Electromechanical Sigma-Delta Accelerometer

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Abstract:

A nonlinearity model including distortion components for sigma-delta (ΣΔ) accelerometer that allows stability analysis is described. Based on this model, closed-loop stability and signal dependent stability are analyzed detailedly. To verify the conclusions, Matlab/Simulink model for a fourth-order ΣΔ accelerometer is designed. The simulation results indicate that high-order system needs a large compensation coefficient, and it will not affect the performance due to the very high low-frequency gain of the loop filter. High-order system is conditionally stable, and stability is affected by the input signal.

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716-720

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June 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] M. Handtmann, R. Aigner, A. Meckes. Sensitivity enhancement of MEMS inertial sensors using negative springs and active control. Sensors and Actuators A. Vol. 97-98, pp.153-160 (2002).

DOI: 10.1016/s0924-4247(01)00818-4

Google Scholar

[2] M. Lemkin. Micro accelerometer design with digital feedback control, Ph.D. dissertation, Dept. Mech. Eng., Univ. California, Berkeley, (1997).

Google Scholar

[3] V. P. Petkov, B. E. Boser. High-order electromechanical sigma-delta modulation in micromachined inertial sensors. IEEE Trans. Circuits Syst. Vol. 53(5), pp.1016-1022 (2006).

DOI: 10.1109/tcsi.2006.869901

Google Scholar

[4] S. H. Ardalan, J. J. Paulos. An anlaysis of nonlinear behavior in delta-sigma modulaors. IEEE Trans. Circuits Syst. Vol. 34(6), pp.593-603 (1987).

DOI: 10.1109/tcs.1987.1086187

Google Scholar

[5] S. R. Norsworthy, R. Schreier, G. C. Temes. Delta-sigma data converters: theory, design, and simulation: IEEE press, (1997).

DOI: 10.1109/9780470544358

Google Scholar

[6] R. T. Baird, T. S. Fiez. Stability analysis of high-order delta-sigma modulation for ADC's. IEEE Trans. Circuits Syst. Vol. 41(1), pp.59-62 (1994).

DOI: 10.1109/82.275660

Google Scholar