Laguerre and Kautz shift approximations of delay systems. (English) Zbl 0963.93042
The objective is the design an artificial delay line, composed by constant lumped elements, simulating a true delay line. Mathematically this means replacing an essential singularity at infinity of the complex frequency plane \(s= \alpha+ i\omega\) by a certain number of poles and zeros in the finite part of the latter. This objective is “attained” by means of pure phase-shift networks. The error of this approximation is considered to be the deviation of the resulting phase shift from a liner one (in \(\omega\)). Three estimes of this deviation are given.
The terminology used obscures the link to the physical performance.
The terminology used obscures the link to the physical performance.
Reviewer: I.Gumowski (Thoiry)
MSC:
93C23 | Control/observation systems governed by functional-differential equations |
93B50 | Synthesis problems |