Finite differences in homogeneous discontinuous control
Finite differences in homogeneous discontinuous control
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DOI：
10.1109/tac.2007.900825
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
A. Levant
中科院分区：
文献类型：
--
作者：
A. Levant
有限差分可以用于估计任意阶实时导数，从任何有限时间稳定的r-滑动齐次控制器产生输出反馈控制器。所得到的控制器是能够控制任何光滑的不确定SISO系统的输出的一个已知的永久相对程度r和相对于测量误差是鲁棒的。应用可变采样步长反馈，在没有噪声的情况下，控制器保持对应于最小可能采样步长的最大r-滑动精度，否则跟踪精度与未知的噪声大小成比例。
Finite differences can be used for the estimation of arbitrary-order real-time derivatives producing an output-feedback controller from any finite-time-stable r-sliding homogeneous controller. The resulting controller is capable to control the output of any smooth uncertain SISO system of a known permanent relative degree r and is robust with respect to measurement errors. Variable sampling step feedback being applied, the controller preserves the utmost r-sliding accuracy corresponding to the minimal possible sampling step in the absence of noises, otherwise the tracking accuracy is proportional to the unknown magnitude of the noise.