TY - GEN
T1 - Using phase space reconstruction to track parameter drift in a nonlinear system
AU - Cusumano, J. P.
AU - Chelidze, D.
AU - Hecht, N. K.
N1 - Funding Information:
This work was supported by the Office of Naval Research MURI on Integrated Predictive Diagnostics, Grant #N0014-95-0461.
Publisher Copyright:
© 1997 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1997
Y1 - 1997
N2 - A model-based experimental method for tracking parameter drift in nonlinear dynamical systems is described. Local linear tracking models are constructed using data sampled over a fast time scale. These models are used to analyze data from systems with parameters which evolve over a slow time scale according to a "hidden" rate law. The method is applied to a numerical study of a nonlinear electrical circuit with a variable resistance as the drifting parameter. The mean-square tracking model prediction error is shown to follow successfully both ramped and sinusoidal parameter variations, suggesting that, at least in the cases studied, the method provides an invertible mapping between the parameter space and the observable space. Thus it should be possible to extract rate information about hidden drift, a requirement for true prediction.
AB - A model-based experimental method for tracking parameter drift in nonlinear dynamical systems is described. Local linear tracking models are constructed using data sampled over a fast time scale. These models are used to analyze data from systems with parameters which evolve over a slow time scale according to a "hidden" rate law. The method is applied to a numerical study of a nonlinear electrical circuit with a variable resistance as the drifting parameter. The mean-square tracking model prediction error is shown to follow successfully both ramped and sinusoidal parameter variations, suggesting that, at least in the cases studied, the method provides an invertible mapping between the parameter space and the observable space. Thus it should be possible to extract rate information about hidden drift, a requirement for true prediction.
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U2 - 10.1115/DETC97/VIB-4012
DO - 10.1115/DETC97/VIB-4012
M3 - Conference contribution
AN - SCOPUS:40649092221
T3 - Proceedings of the ASME Design Engineering Technical Conference
BT - 16th Biennial Conference on Mechanical Vibration and Noise
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1997 Design Engineering Technical Conferences, DETC 1997
Y2 - 14 September 1997 through 17 September 1997
ER -