A numerical algorithm for reconstructing CT TF models

摘要

This paper has presented a numerical algorithm for reconstructing CT TF models of systems with pure integrators from their ZOH DT equivalents. The algorithm used basic recursion and simple polynomial manipulations and is well suited for CACSD software. The algorithm performs the reconstruction solely in the frequency-domain; hence avoids intermediate unnecessary steps of realizing the TF in SS and converting back the CT SS model intoTF. As such, the algorithm avoids asingularity that may arise if there construction is done in SS, and it avoids employing computationally costly linear algebra manipulations. This work established a simplez-domain to s-domain mapping, where the process of taking partial derivatives is realized through polynomial multiplications. Such mappingwas derived from standard Laplace and z-transform tables.