论文标题
非线性随机系统的预定时间稳定
Predefined-time Stabilization for Nonlinear Stochastic Systems
论文作者
论文摘要
在本文中，提出了一种随机预定时间稳定的控制方案，与随机有限时间或固定时间稳定相比，改善了控制效果。随机预定的时间稳定允许在任何给定的正值以下定居时间函数的数学期望的上限。提出了一些lyapunov型的结果，用于一般随机ITô系统的预定时间稳定。此外，国家反馈控制方案是为一类以严格反馈形式的随机非线性系统设计的。提供了两个模拟示例，以显示提出的随机预定时间稳定的有用性。
In this paper, a control scheme for stochastic predefined-time stabilization is proposed, which improves the control effect compared with stochastic finite-time or fixed-time stabilization. The stochastic predefined-time stabilization allows the upper bound of the mathematical expectation of the settling-time function below any given positive value. Some Lyapunov-type results for predefined-time stabilization of general stochastic Itô systems are presented. Moreover, a state feedback control scheme is designed for a class of stochastic nonlinear systems in strict-feedback form. Two simulation examples are supplied to show the usefulness of the proposed stochastic predefined-time stabilization.
