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Adaptive finite-time control for stochastic nonlinear systems subject to unknown covariance noise

机译：具有未知协方差噪声的随机非线性系统的自适应有限时间控制

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摘要

This paper is devoted to the adaptive finite-time control for a class of stochastic nonlinear systems driven by the noise of covariance. The traditional growth conditions assumed on the drift and diffusion fusion terms are removed through a technical lemma, and the negative effect generated by unknown covariance noise is compensated by combining adaptive control technique with backstepping recursive design. Then, without imposing any growth assumptions, a smooth adaptive state-feedback controller is skillfully designed and analyzed with the help of the adding a power integrator method and stochastic backstepping technique. Distinctive from the global stability in probability or asymptotic stability in probability obtained in related work, the proposed design algorithm can guarantee the solution of the closed-loop system to be finite-time stable in probability. Finally, a stochastic simple pendulum system is skillfully constructed to demonstrate the effectiveness of the proposed control scheme. (C) 2018 Published by Elsevier Ltd on behalf of The Franklin Institute.
机译：本文致力于一类由协方差噪声驱动的随机非线性系统的自适应有限时间控制。通过技术引理消除了在漂移和扩散融合项上假设的传统生长条件，并且通过将自适应控制技术与Backstepping递归设计相结合来补偿未知协方差噪声产生的负面影响。然后，在不施加任何增长假设的情况下，借助添加的功率积分器方法和随机反推技术，熟练地设计和分析了平滑的自适应状态反馈控制器。与相关工作中获得的概率全局稳定性或概率渐近稳定性有明显区别，所提出的设计算法可以保证闭环系统的概率概率是有限时稳定的。最后，巧妙地构造了一个随机的简单摆系统，以证明所提出的控制方案的有效性。 （C）2018由Elsevier Ltd代表富兰克林研究所出版。

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    《Journal of the Franklin Institute》 |2018年第5期|2645-2661|共17页
  • 作者

    Min Huifang; Xu Shengyuan; Li Yongmin; Chu Yuming; Wei Yunliang; Zhang Zhengqiang;

  • 作者单位

    Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China;

    Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China;

    Huzhou Teachers Coll, Sch Sci, Huzhou 313000, Zhejiang, Peoples R China;

    Huzhou Teachers Coll, Sch Sci, Huzhou 313000, Zhejiang, Peoples R China;

    Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China;

    Qufu Normal Univ, Sch Elect Engn & Automat, Rizhao 276826, Peoples R China;

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