A simple proof is proposed that extends Seeber and Horn’s recent sufficient conditions (Seeber and Horn, 2017) for the finite time convergence of the super twisting algorithm to perturbations in the input gain. The new convergence conditions are compared to state of the art conditions, and turn out to accept sensibly smaller gains.

中文翻译：

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输入增益不确定的超扭曲算法的新收敛条件

提出了一个简单的证明，该证明扩展了 Seeber 和 Horn 最近的充分条件（Seeber 和 Horn，2017），用于超扭曲算法对输入增益扰动的有限时间收敛。将新的收敛条件与最先进的条件进行比较，结果表明可以接受明显更小的增益。