TY - GEN

T1 - Control for stochastic tracking error minimization based on state entropy with neural network

AU - Maki, Hayato

AU - Katsura, Seiichiro

N1 - Funding Information:
This research was partially supported by the Ministry of Internal Affairs and Communications, Strategic Information and Communications R&D Promotion Programme (SCOPE), 151203009, 2017.
Publisher Copyright:
© 2018 IEEE.

PY - 2018/4/27

Y1 - 2018/4/27

N2 - It is well known that when the disturbance in the nonlinear system has whiteness, the error between the output of the system and the desired output does not show whiteness. Considering the adaptive system, the mean square evaluation function is often not sufficient for this problem. In recent years, entropy has been attracting attention as an evaluation function changing to the mean square criterion. Beginning with entropy of Shannon, its characteristics are related to higher-order statistics. When entropy is minimized, all moments of error are constrained. Especially in dynamic modeling, the entropy's criterion is more robust than that of MSE. In this research, we focus on correntrop, which has expanded Renyi's entropy more generally, consider controlling and updating the controller by the neural network. For state estimation of correntropy, state change of entropy of error is taken into account by explicitly using state quantity of control rather than time series data set. We confirm by simulation that the proposed method makes the probability density function of the error sharper.

AB - It is well known that when the disturbance in the nonlinear system has whiteness, the error between the output of the system and the desired output does not show whiteness. Considering the adaptive system, the mean square evaluation function is often not sufficient for this problem. In recent years, entropy has been attracting attention as an evaluation function changing to the mean square criterion. Beginning with entropy of Shannon, its characteristics are related to higher-order statistics. When entropy is minimized, all moments of error are constrained. Especially in dynamic modeling, the entropy's criterion is more robust than that of MSE. In this research, we focus on correntrop, which has expanded Renyi's entropy more generally, consider controlling and updating the controller by the neural network. For state estimation of correntropy, state change of entropy of error is taken into account by explicitly using state quantity of control rather than time series data set. We confirm by simulation that the proposed method makes the probability density function of the error sharper.

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U2 - 10.1109/ICIT.2018.8352160

DO - 10.1109/ICIT.2018.8352160

M3 - Conference contribution

AN - SCOPUS:85046970213

T3 - Proceedings of the IEEE International Conference on Industrial Technology

SP - 105

EP - 110

BT - Proceedings - 2018 IEEE International Conference on Industrial Technology, ICIT 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 19th IEEE International Conference on Industrial Technology, ICIT 2018

Y2 - 19 February 2018 through 22 February 2018

ER -