Barrier function-based adaptive sliding mode control (BFASMC) is analyzed in presence of deterministic measurement noise. It is shown that, considering only boundedness of the measurement noise, it is impossible to select the controller parameters to track some perturbation with unknown bound. Nonetheless, under the assumption of continuity of the noise, the tracking of such a perturbation is possible; however, the barrier function width depends on the bound of the noise. If Lipschitz continuity of the noise is assumed, then it follows that the width of the barrier function can be chosen arbitrarily.

中文翻译：

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确定性噪声下基于屏障函数的自适应滑模控制分析


在存在确定性测量噪声的情况下分析基于屏障函数的自适应滑模控制 （BFASMC）。结果表明，仅考虑测量噪声的有界性，不可能选择控制器参数来跟踪某些边界未知的扰动。尽管如此，在噪声连续性的假设下，跟踪这种扰动是可能的;但是，barrier 函数宽度取决于噪声的边界。如果假设噪声的 Lipschitz 连续性，那么可以任意选择屏障函数的宽度。