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首页> 外文会议>Chinese Control Conference >Adaptive Finite-time Stabilization of Weak Solutions for a Class of Stochastic Nonlinear Systems with Parametric Uncertainty
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Adaptive Finite-time Stabilization of Weak Solutions for a Class of Stochastic Nonlinear Systems with Parametric Uncertainty

机译：一类具有参数不确定性的随机非线性系统弱解的自适应有限时间镇定

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摘要

In this paper, the finite-time stabilization for a class of stochastic nonlinear systems with parametric uncertainty is studied under the framework of weak solutions. A Lyapunov function is constructed by the method of adding a power integrator and a finite-time controller is constructively designed. It is proved that the closed-loop system has a global weak solution, states and control input of the closed-loop system reach the origin in a finite time and the parameter estimate is bounded with probability one. Finally, a numerical simulation is given to illustrate the efficiency of the proposed design procedure.
机译：本文在弱解的框架下，研究了一类具有参数不确定性的随机非线性系统的有限时间镇定问题。通过添加功率积分器的方法来构造李雅普诺夫函数，并且构造性地设计了有限时间控制器。证明了闭环系统具有全局弱解，闭环系统的状态和控制输入在有限时间内到达原点，参数估计的概率为一。最后，进行了数值模拟，以说明所提出的设计程序的效率。

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