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Global practical tracking for stochastic time-delay nonlinear systems with SISS-like inverse dynamics

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Abstract

This paper investigates the practical tracking problem of stochastic delayed nonlinear systems. The powers of the nonlinear terms are relaxed to a certain interval rather than a precisely known point. Based on the Lyapunov-Krasovskii (L-K) functional method and the modified adding a power integrator technique, a new controller is constructed to render the solutions of the considered system to be bounded in probability, and furthermore, the tracking error in sense of the mean square can be made small enough by adjusting some designed parameters. A simulation example is provided to demonstrate the validity of the method in this paper.

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Acknowledgments

This work was supported by National Natural Science Foundation of China (Grant Nos. 61573227, 61633014, 61673242, 61603231), State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources (Grant No. LAPS16011), Research Fund for the Taishan Scholar Project of Shandong Province of China, Postgraduate Innovation Funds of SDUST (No. SDKDYC170229), SDUST Research Fund (Grant No. 2015TDJH105), and Shandong Provincial Natural Science Foundation of China (Grant No. 2016ZRB01076).

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Authors and Affiliations

  1. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China

    Lingrong Xue & Weihai Zhang

  2. Institute of Automation, Qufu Normal University, Qufu, 273165, China

    Xuejun Xie

Authors
  1. Lingrong Xue
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  2. Weihai Zhang
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  3. Xuejun Xie
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Correspondence to Weihai Zhang.

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Xue, L., Zhang, W. & Xie, X. Global practical tracking for stochastic time-delay nonlinear systems with SISS-like inverse dynamics. Sci. China Inf. Sci. 60, 122201 (2017). https://doi.org/10.1007/s11432-016-0448-2

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  • DOI: https://doi.org/10.1007/s11432-016-0448-2

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