On a fractional-order backward difference equation solution solved by a microcontroller

M. Matusiak, D. Sankowski, P. Ostalczyk
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Abstract

In the paper an analysis of the fractional-order backward difference and linear time-invariant difference equations based on the mentioned difference is considered. The analysis is focused on a solution realized by a microcontroller. The problem of the so called “calculation tail” is analyzed. The solutions are compared with these obtained in Matlab. The considerations are important in the context of the fractional-order PID controller real-time implementation.
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用单片机求解分数阶后向差分方程
本文考虑了分数阶后向差分方程和基于分数阶后向差分方程的线性定常差分方程的分析。重点分析了一种由单片机实现的解决方案。分析了所谓的“计算尾”问题。并与Matlab计算结果进行了比较。在分数阶PID控制器实时实现的上下文中,这些考虑是重要的。
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