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Adaptive neural network output feedback control of stochastic nonlinear systems with dynamical uncertainties

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Abstract

In this paper, a robust adaptive neural network (NN) backstepping output feedback control approach is proposed for a class of uncertain stochastic nonlinear systems with unknown nonlinear functions, unmodeled dynamics, dynamical uncertainties and without requiring the measurements of the states. The NNs are used to approximate the unknown nonlinear functions, and a filter observer is designed for estimating the unmeasured states. To solve the problem of the dynamical uncertainties, the changing supply function is incorporated into the backstepping recursive design technique, and a new robust adaptive NN output feedback control approach is constructed. It is mathematically proved that the proposed control approach can guarantee that all the signals of the resulting closed-loop system are semi-globally uniformly ultimately bounded in probability, and the observer errors and the output of the system converge to a small neighborhood of the origin by choosing design parameters appropriately. The simulation example and comparison results further justify the effectiveness of the proposed approach.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (No. 61074014), the Outstanding Youth Funds of Liaoning Province (No. 2005219001) and Program for Liaoning Innovative Research Team in University.

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Authors and Affiliations

  1. Department of Mathematics, Liaoning University of Technology, Jinzhou, 121000, Liaoning, China

    Tong Wang, Shaocheng Tong & Yongming Li

Authors
  1. Tong Wang
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  2. Shaocheng Tong
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  3. Yongming Li
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Correspondence to Tong Wang.

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Wang, T., Tong, S. & Li, Y. Adaptive neural network output feedback control of stochastic nonlinear systems with dynamical uncertainties. Neural Comput & Applic 23, 1481–1494 (2013). https://doi.org/10.1007/s00521-012-1099-7

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  • DOI: https://doi.org/10.1007/s00521-012-1099-7

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