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On Stochastic Finite-Time Stabilization with Continuous State-Feedback Controllers

机译:用连续状态反馈控制器随机有限时间稳定

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This paper investigates finite-time stabilization of stochastic systems with homogeneous feedback controllers. In the finite-time stabilization problems, chattering-like behavior usually appears in the input signals due to stochastic noises when homogeneous feedback controllers are designed by backstepping-like methods. This study investigates the causes of the chattering-like behavior that appears in the homogeneous feedback controllers. Moreover, we present design approaches of controllers for the finite-time stabilization of stochastic systems based on homogeneity, with the objective of reducing the chattering-like behavior. Finally, the validity of the proposed controllers is investigated based on numerical experiments.
机译:本文研究了随机反馈控制器的随机系统的有限时间稳定。在有限时间的稳定问题中,当通过背插管的方法设计时,由于随机反馈控制器设计时,通常出现在输入信号中的抖动样式。本研究调查了出现在均匀反馈控制器中的喋喋不休的行为的原因。此外,我们对基于均匀性的随机系统的有限时间稳定提供了控制器的设计方法,目的是减少抖动的行为。最后,基于数值实验研究了所提出的控制器的有效性。

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