1999
DOI: 10.1109/19.816116
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Neural modeling of dynamic systems with nonmeasurable state variables

Abstract: The paper studies the ability possessed by recurrent neural networks to model dynamic systems when some relevant state variables are not measurable. Neural architectures based on virtual states-which naturally arise from a space state representation-are introduced and compared with the more traditional neural output error ones. Despite the evident potential model ability possessed by virtual state architectures we experimented that their performances strongly depend on the training efficiency. A novel validati… Show more

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Cited by 19 publications
(7 citation statements)
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“…This confirms that the proposed model improves the accuracy of two-piece models. For an additional performance evaluation, the stability of the single-piece LLSS models is assessed by means of an analysis of the eigenvalues of the linearized model as suggested in [9]. This analysis confirms that the obtained models are locally stable, thus avoiding possible spurious dynamics for any excitation or load condition.…”
Section: Numerical Examplementioning
confidence: 65%
“…This confirms that the proposed model improves the accuracy of two-piece models. For an additional performance evaluation, the stability of the single-piece LLSS models is assessed by means of an analysis of the eigenvalues of the linearized model as suggested in [9]. This analysis confirms that the obtained models are locally stable, thus avoiding possible spurious dynamics for any excitation or load condition.…”
Section: Numerical Examplementioning
confidence: 65%
“…For an additional performance evaluation, we addressed ourselves to the assessment of model stability, by means of an analysis of the eigenvalues of the linearized model. The eigenvalues are computed for each point explored by the voltage and current responses during the transient simulations of a validation test [11]. Figures 2 compares the eigenloci of the linearized model equation for the dynamic component of iH, for ESN (circles) and NARX (crosses) 67 F models.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…Finally, model stability is assessed by computing the eigenvalues of the linearized model (1). The eigenvalues are computed for each time step of the HSPICE simulations of the validation test, as suggested by [22]. Table I collects the main figures of the estimated models illustrated above.…”
Section: Performance Assessmentmentioning
confidence: 99%