Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
SPSA With a Fixed Gain for Intelligent Control in Tracking Applications. / Granichin, O.; Gurevich, L.; Vakhitov, A.
2009 IEEE CONTROL APPLICATIONS CCA & INTELLIGENT CONTROL (ISIC), VOLS 1-3. IEEE Canada, 2009. стр. 1415-1420 (IEEE International Conference on Control Applications).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - SPSA With a Fixed Gain for Intelligent Control in Tracking Applications
AU - Granichin, O.
AU - Gurevich, L.
AU - Vakhitov, A.
PY - 2009
Y1 - 2009
N2 - Simultaneous perturbation stochastic approximation (SPSA) algorithm is also often referred as a Kiefer-Wolfowitz algorithm with randomized differences. Algorithms of this type are widely applied in field of intelligent control for optimization purposes, especially in a high-dimensional and noisy setting. In such problems it is often important to track the drifting minimum point, adapting to changing environment. In this paper application of the fixed gain SPSA to the minimum tracking problem for the non-constrained optimization is considered. The upper bound of mean square estimation error is determined in case of once differentiable functional and almost arbitrary noises. Numerical simulation of the estimates stabilization for the multidimensional optimization with non-random noise is provided.
AB - Simultaneous perturbation stochastic approximation (SPSA) algorithm is also often referred as a Kiefer-Wolfowitz algorithm with randomized differences. Algorithms of this type are widely applied in field of intelligent control for optimization purposes, especially in a high-dimensional and noisy setting. In such problems it is often important to track the drifting minimum point, adapting to changing environment. In this paper application of the fixed gain SPSA to the minimum tracking problem for the non-constrained optimization is considered. The upper bound of mean square estimation error is determined in case of once differentiable functional and almost arbitrary noises. Numerical simulation of the estimates stabilization for the multidimensional optimization with non-random noise is provided.
KW - STOCHASTIC-APPROXIMATION
KW - ALGORITHM
U2 - 10.1109/CCA.2009.5280941
DO - 10.1109/CCA.2009.5280941
M3 - статья в сборнике материалов конференции
SN - 978-1-4244-4601-8
T3 - IEEE International Conference on Control Applications
SP - 1415
EP - 1420
BT - 2009 IEEE CONTROL APPLICATIONS CCA & INTELLIGENT CONTROL (ISIC), VOLS 1-3
PB - IEEE Canada
Y2 - 8 July 2009 through 10 July 2009
ER -
ID: 74014489