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<p>Numerous complex nonlinear systems in the real-world constantly suffer from random noises, which contribute to the enormous challenge of system control. Additionally, unknown powers in nonlinear systems always lead to the inapplicability of many reported control methods. This article investigates the control issue of stochastic systems which contain complicated nonlinearities and unknown system powers. With the newly constructed Lyapunov function, as well as the control algorithm presented in this work, the authors successfully obtain a controller so that the closed-loop system is semiglobally finite-time stable in probability (SGFSP). Besides, the system output can trackthe reference signal fast. The presented method significantly enlarges the range of application for nonlinear systems. The presented strategy is successfully applied to the liquid-level system.</p>

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A New Robust Stabilization/Tracking Control Algorithm for Stochastic Nonlinear Systems

  • 期刊论文

  • 发表日期：

    2025年3月13日

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  • Zhenguo Liu,
  • Enxin Liu,
  • Lingrong Xue,
  • Zongyao Sun

摘要

Numerous complex nonlinear systems in the real-world constantly suffer from random noises, which contribute to the enormous challenge of system control. Additionally, unknown powers in nonlinear systems always lead to the inapplicability of many reported control methods. This article investigates the control issue of stochastic systems which contain complicated nonlinearities and unknown system powers. With the newly constructed Lyapunov function, as well as the control algorithm presented in this work, the authors successfully obtain a controller so that the closed-loop system is semiglobally finite-time stable in probability (SGFSP). Besides, the system output can trackthe reference signal fast. The presented method significantly enlarges the range of application for nonlinear systems. The presented strategy is successfully applied to the liquid-level system.