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Adaptive output tracking for a class of non-linear time-delay systems

机译:一类非线性时滞系统的自适应输出跟踪

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摘要

In this paper the output tracking control problem for a class of non-linear time delay systems with some unknown constant parameters is addressed. Such a problem is solved in the case that the non-linear time-delay system has full delay relative degree and stable internal dynamics. It is supposed moreover that the output and its time derivatives until n — 1, where n is the length of the state vector (euclidean part), do not depend explicitly on the unknown parameters. This work is the first step towards the application of the methodologies of adaptive control for non-linear delayless systems, based on tools of differential geometry, to non-linear time-delay systems too.
机译:本文研究了一类具有一些未知常数参数的非线性时滞系统的输出跟踪控制问题。在非线性时滞系统具有完全的时延相对度和稳定的内部动力学的情况下解决了这个问题。此外,假设直到n_1为止的输出及其时间导数(其中n是状态向量的长度(欧几里德部分))都不明确地依赖未知参数。这项工作也是将基于差分几何工具的非线性无延迟系统的自适应控制方法应用到非线性时间延迟系统的第一步。

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