Python module for the study analysis of (fractional) delayed systems given by their transfer function.
Project description
YALTAPy is a Python toolbox dedicated to the stability analysis of (possibly fractional) delay systems with commensurate delays given by their transfer function.
The questions YALTA and YALTAPy can answer are:
- In the case of neutral systems
- Find the position of asymptotic axes.
- If the imaginary axis is asymptotic axis, find if the asymptotic poles of the chain are left or right the imaginary axis.
- In the case of retarded systems or of neutral systems with asymptotic axes in {Re(s) < 0}, find:
- For a given delay, the number and the position of unstable poles.
- For which values of the delay the system is stable.
- For a set of values of the delay, the position of unstable poles (root locus).
- Find (for non fractional systems) the coprime factors (N, D) of the transfer function as well as an approximation (Nn, Dn) in H∞-norm
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