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Backing Up a Truck on Gaussian and Non-Gaussian Impulsive Noise with Extended Kalman Filter and Fuzzy Controller

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Abstract

Truck backing-up problem is a typical test bed for fuzzy control system. The control performance affects the safety of the truck well, but has not been studied when location of the truck is given by GPS which introduces sensing noises into the system. In this paper, we study the impact of noise on control performance of the system, and we propose an extended Kalman filter which claims to adapt to only Gaussian noise for improving control performance in Gaussian and non-Gaussian impulsive noise situation. To implement the filter, we propose screening the input to get the output of the fuzzy controller such that the partial derivative of the input–output function of the controller required by the extended Kalman filter is computationally available. Our simulation results of the truck system with and without noise, the noise being Gaussian and non-Gaussian impulsive, and the system with and without the extended Kalman filter, indicate that the average performance of the system with the filter is much better than that without the filter no matter the noise is Gaussian or impulsive, the great power of the extended Kalman filter in dealing with even non-Gaussian impulsive noises for fuzzy truck control, while the great deviation from the average performance makes an urgent call for non-Gaussian version of the extended Kalman filter to adapt to more general non-Gaussian impulsive noise situation.

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Acknowledgements

This work was supported by the Natural Science Foundation of China under Grants 61571341 and 11401357, the National Ministry of Education Fund Projects of China (No. 20130203110017), and the Fundamental Research Funds of China for the Central Universities (Nos JBZ170301 and 20101164977).

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Authors and Affiliations

  1. School of Computer Science and Technology, Xidian University, No. 2 Taibai Road, Xi’an, 710071, People’s Republic of China

    Junying Zhang

  2. School of Information Engineering, Xijing University, Chang’an District, Xi’an, 710123, People’s Republic of China

    Yuting Zhang & Cong Xu

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  1. Junying Zhang
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  2. Yuting Zhang
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  3. Cong Xu
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Correspondence to Junying Zhang.

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Zhang, J., Zhang, Y. & Xu, C. Backing Up a Truck on Gaussian and Non-Gaussian Impulsive Noise with Extended Kalman Filter and Fuzzy Controller. Int. J. Fuzzy Syst. 20, 791–802 (2018). https://doi.org/10.1007/s40815-017-0383-1

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  • DOI: https://doi.org/10.1007/s40815-017-0383-1

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