Adaptive finite-time control for stochastic nonlinear systems subject to unknown covariance noise |
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| Authors: | Huifang Min Shengyuan Xu Yongmin Li Yuming Chu Yunliang Wei Zhengqiang Zhang |
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| Institution: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;2. School of Science, Huzhou Teachers College, Huzhou, Zhejiang 313000, China;3. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China;4. School of Electrical Engineering and Automation, Qufu Normal University, Rizhao 276826, China |
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| Abstract: | 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 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. |
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| Keywords: | Corresponding author |
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