Z变换和△变换的有限字长特性研究
A Study on Finite Word Length Characteristics of Z-Transform and △-Transform
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摘要: 计算机的有限字长对数字控制器的实现有重要影响.本文介绍了△变换及其δ算子的数 字控制器的实现方法,证明了δ算子实现方法在系数有限字长表示、运算中对舍入及截尾误差 的影响;有限字长非线性因素对极限环振荡的影响等方面,都优于常用的z变换及其q算子的 数字控制器实现方法.本文还提供了某型飞机的数字控制器在z变换和△变换下的不同有限 字长特性的数字仿真.Abstract: The finite word length of digital computers has great influence on the implementation of control software. This paper introduces the A-transform and b-operator, and compare, them with the commonly used Z-transform and q-operator. It is shown that △-transform is more accurate for coefficient representation and has better performance for round off noise In addition, △-transform has the advantage of eleminating the limite cycles caused by the finite word length nonlinearity.
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Key words:
- Finite word length /
- Z-transorm /
- △-transform
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