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Fast Finite-time Adaptive Fuzzy Control for Stochastic Nonlinear System

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  • Intelligent Control and Applications
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Abstract

In this article, we solve the fast finite-time stabilization as well as adaptive fuzzy control design issues for a class uncertain stochastic nonlinear systems. Firstly, a new fast finite-time control scheme is proposed in virtue of generalizing the fast finite-time adaptive control strategy for deterministic systems to the stochastic case. Next, a novel adaptive fuzzy control strategy is developed to simultaneously deal with the stochastic nonlinear systems with completely unknown nonlinearities as well as the disturbances term. Then, stability analysis have been given based on a Jensen’s inequality. Finally, two simulations examples is presented to illustrate the effectiveness of the proposed control scheme.

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Authors and Affiliations

  1. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252000, China

    Yixuan Yuan, Junsheng Zhao, Yaqi Gu & Xue**g Zhao

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

    Zong-Yao Sun

Authors
  1. Yixuan Yuan
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  3. Zong-Yao Sun
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Correspondence to Junsheng Zhao.

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This work is supported by National Natural Science Foundation of China under Grant 62173208, Taishan Scholar Project of Shandong Province of China under Grant tsqn202103061, Shandong Qingchuang Science and Technology Program of Universities under Grant 2019KJN036.

Yixuan Yuan received her B.Sc. degree in mathematics and applied mathematics from the School of Mathematical Sciences, Heze University, Heze, China, in June 2020. She is studying for an M.S. degree in Liaocheng University. Her current research interests include stochastic systems, finite time control, and adaptive fuzzy control.

Junsheng Zhao was born in 1981. He received his M.S. degree from Qufu Normal University in 2006, and a Ph.D. degree from Southeast University, China, in 2015. He was a Visiting Scholar with the Department of Mathematics and Statistics, University of Strathclyde, UK, in 2020. Since 2006, he has been with the School of Mathematical Science, Liaocheng University, where he is currently an associate professor. His current research interests include stochastic control, adaptive control, and stability theory of stochastic systems.

Zong-Yao Sun was born in 1979. He received his M.S. degree from Qufu Normal University in 2005, and a Ph.D. degree from Shandong University, China, in 2009. He was a Visiting Scholar with the Department of Electrical and Computer Engineering, University of Texas at San Antonio, USA, in 2016. Since 2009, he has been with the Institute of Automation, Qufu Normal University, where he is currently a professor. His current research interests include nonlinear control, adaptive control, and stability theory of time-delay systems. Prof. Sun won the Title of Taishan Scholar in 2021, and was awarded the Shandong Province Outstanding Tutor of Graduate Students in 2019.

Yaqi Gu obtained her B.Sc. degree in mathematics and applied mathematics from the School of Mathematical Sciences, Mathematics University, Liaocheng, China, in June 2022, where she is currently pursuing an M.S. degree. Her current research interests include stochastic nonlinear systems and event-triggered control.

Xue**g Zhao received her B.Sc. degree in mathematics and applied mathematics from Huihua College of Heibei Normal University, China, in June 2022. She is currently studying for an M.S. degree in the School of Mathematical Sciences, Liaocheng University. Her current research interests include stochastic nonlinear systems and finite-time control.

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Yuan, Y., Zhao, J., Sun, ZY. et al. Fast Finite-time Adaptive Fuzzy Control for Stochastic Nonlinear System. Int. J. Control Autom. Syst. 21, 4123–4132 (2023). https://doi.org/10.1007/s12555-022-0758-4

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  • DOI: https://doi.org/10.1007/s12555-022-0758-4

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