基于滑模控制的不确定中立型系统有限时间稳定

Finite-time Stability of the Uncertain Neutral System Based on Sliding Mode Control

  • 摘要: 针对一类不确定中立型时滞系统,利用滑模控制理论研究其有限时间稳定问题。首先构造了适当的滑模面及状态反馈控制器,使得系统的状态轨线能够在有限时间内到达滑模面并维持滑动模态。然后利用李雅普诺夫稳定性理论和不等式放缩技巧,研究了闭环系统状态在滑动模态段的有限时间稳定问题,得到了该系统是有限时间稳定的充分条件,该条件以线性矩阵不等式的形式给出,易于求解。最后通过一个数值仿真算例,验证了所得结论的有效性。

     

    Abstract: In this study, the finite-time stability of the uncertain neutral time-delay system is studied using the sliding mode control. First, a suitable sliding surface and state feedback controller are constructed, guaranteeing the system states to reach the sliding surface in a finite time and maintain it. Next, through the Lyapunov stability theory and inequality techniques, the finite-time stability of the closed-loop system in the sliding mode phase is studied; conditions that ensure the finite-time stability are obtained and are given in the form of linear matix inequalities for easier computation. Finally, a numerical simulation confirms the effectiveness of the proposed model.

     

/

返回文章
返回