This paper investigates the problem of robust asymptotic stabilization for a class of uncertain neutral-type systems with time-varying delays. A sufficient condition is obtained to ensure the considered system is robust asymptotic stabilization with disturbance attenuation level , which is based on the sliding mode observer framework. Meanwhile, a novel integral sliding surface function with the compensator is proposed to make sure the considered system can be stabilized. And the gain matrix is obtained by solving a strict linear matrix inequality. Finally, two numerical examples are provided to demonstrate the validity and potential of the proposed method.

中文翻译：

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一类具有时变时滞的不确定中性系统的鲁棒控制

本文研究了一类具有时变时滞的不确定中性型系统的鲁棒渐近镇定问题。获得了一个充分条件来确保所考虑的系统是具有扰动衰减水平的鲁棒渐近镇定，这是基于滑模观测器框架的。同时，提出了一种带有补偿器的新型积分滑动面函数，以确保所考虑的系统能够稳定。增益矩阵是通过求解严格的线性矩阵不等式得到的。最后，提供了两个数值例子来证明所提出方法的有效性和潜力。