Entropy 2012, 14(7), 1154-1164; doi:10.3390/e14071154
Article

Statistical Information Based Single Neuron Adaptive Control for Non-Gaussian Stochastic Systems

1email, 2,* email, 1email, 1email and 1email
Received: 3 May 2012; in revised form: 22 June 2012 / Accepted: 27 June 2012 / Published: 2 July 2012
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: Based on information theory, the single neuron adaptive control problem for stochastic systems with non-Gaussian noises is investigated in this paper. Here, the statistic information of the output within a receding window rather than the output value is used for the tracking problem. Firstly, the single neuron controller structure, which has the ability of self-learning and self-adaptation, is established. Then, an improved performance criterion is given to train the weights of the single neuron. Furthermore, the mean-square convergent condition of the proposed control algorithm is formulated. Finally, comparative simulation results are presented to show that the proposed algorithm is superior to the PID controller. The contributions of this work are twofold: (1) the optimal control algorithm is formulated in the data-driven framework, which needn’t the precise system model that is usually difficult to obtain; (2) the control problem of non-Gaussian systems can be effectively dealt with by the simple single neuron controller under improved minimum entropy criterion.
Keywords: statistic information; single neuron adaptive control; non-Gaussian; minimum entropy
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MDPI and ACS Style

Ren, M.; Zhang, J.; Jiang, M.; Tian, Y.; Hou, G. Statistical Information Based Single Neuron Adaptive Control for Non-Gaussian Stochastic Systems. Entropy 2012, 14, 1154-1164.

AMA Style

Ren M, Zhang J, Jiang M, Tian Y, Hou G. Statistical Information Based Single Neuron Adaptive Control for Non-Gaussian Stochastic Systems. Entropy. 2012; 14(7):1154-1164.

Chicago/Turabian Style

Ren, Mifeng; Zhang, Jianhua; Jiang, Man; Tian, Ye; Hou, Guolian. 2012. "Statistical Information Based Single Neuron Adaptive Control for Non-Gaussian Stochastic Systems." Entropy 14, no. 7: 1154-1164.

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