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Predefined-time stabilization for nonlinear stochastic Itô systems

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Abstract

In this paper, a control scheme for stochastic predefined-time stabilization of continuous-time stochastic Itô systems is proposed. Compared with stochastic finite-time or fixed-time stabilization, the proposed control scheme for stochastic predefined-time stabilization allows the upper bound of the mean value of the settling-time function to lie below an arbitrarily given positive value. Some Lyapunov-type results for predefined-time stabilization of general stochastic Itô systems are presented. Moreover, a state feedback control scheme is designed for a class of stochastic nonlinear systems in strict-feedback form. Two simulation examples are provided to show the usefulness of the proposed stochastic predefined-time stabilization.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 62203220, 62073144, 61803108), National Science Foundation of Jiangsu Province (Grant No. BK2022094), China Postdoctoral Science Foundation (Grant No. 2022M711640), and Jiangsu Funding Program for Excellent Postdoctoral Talent (Grant No. 2022ZB273).

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China

    Tianliang Zhang & Shengyuan Xu

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

    Weihai Zhang

Authors
  1. Tianliang Zhang
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  2. Shengyuan Xu
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  3. Weihai Zhang
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Correspondence to Shengyuan Xu.

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Zhang, T., Xu, S. & Zhang, W. Predefined-time stabilization for nonlinear stochastic Itô systems. Sci. China Inf. Sci. 66, 182202 (2023). https://doi.org/10.1007/s11432-022-3690-y

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  • DOI: https://doi.org/10.1007/s11432-022-3690-y

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