Improved finite word length characteristics in digital control using delta operators
Improved finite word length characteristics in digital control using delta operators
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DOI：
10.1109/tac.1986.1104162
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发表时间：
1986-11
影响因子：
6.8
通讯作者：
R. Middleton;G. Goodwin
中科院分区：
文献类型：
--
作者：
R. Middleton;G. Goodwin
本文研究了数字控制中有限字长的一些后果。结果表明，在许多有实际意义的情况下，通常的移位算符公式不如我们所称的Delta算符方法。后一种方法被证明在许多情况下给出了更好的系数表示和更小的舍入噪声。因此，我们认为移位算子及其相关的Z变换可以用增量算子及其相关变换来代替，我们称其为Δ变换。这种方法的另一个优点是，随着采样率的增加，离散设计和变换收敛到它们的连续时间对应物。
This paper examines some of the consequences of finite word lengths in digital control. It is shown that, in many cases of practical importance, the usual shift operator formulation is inferior to an alternative formulation which we designate the delta operator approach. This latter approach is shown to give better coefficient representation and less roundoff noise in many cases. We thus argue that the shift operator and its associated Z -transform can be replaced by delta operators and their associated transform which we designate a Δ-transform. An added advantage of this approach is that discrete designs and transforms converge to their continuous-time counterparts as the sampling rate is increased.