This article presents an adaptive discontinuous higher order sliding mode control (HOSMC) strategy for a disturbed chain of integrators of order n. This strategy employs a barrier function‐based dual layer adaptation and it ensures the convergence of the sliding variable and its (n − 1) first derivatives to zero without requiring any information on the bounds of the disturbances or their derivatives. It consists in applying a barrier function‐based adaptive super‐twisting methodology compensating Lipschitz disturbances with some error, and a growing gain‐based adaptive HOSMC which just needs to counteract this error. Real‐time simulation platform is used to test the efficacy of the proposed strategy to control a linear induction motor considering dynamic end effects.

中文翻译：

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基于双层势垒函数的自适应高阶滑模控制

本文为n阶积分器的扰动链提出了一种自适应的不连续高阶滑模控制（HOSMC）策略。该策略采用基于势垒函数的双层自适应，可确保滑动变量及其（n  − 1）的收敛一阶导数为零，而无需任何有关扰动范围或它们的导数的信息。它包括应用基于势垒函数的自适应超扭曲方法补偿Lipschitz扰动并带有一些误差，以及基于增益的自适应HOSMC不断增长，仅需要抵消该误差。实时仿真平台用于测试所提出策略在考虑动态端效应的情况下控制线性感应电动机的效果。