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Input-output analysis of multirate feedback systems

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1 Author(s)
Kranc, G. ; Columbia University, New York, NY, USA

A general analytical technique described in this paper permits the extension of Z -transform methods to sampled-data systems containing synchronized switches which do not operate with the same sampling rate. Sampling periods of each switch are first expressed in the form T/p_{1} ... T/p_{n} (where p_{1} ... p_{n} are integers not equal to zero) and then it is shown that each switch with a period T/p can be replaced by a system of switches and advance and delay elements where each switch operates with a sampling period T . In this way, the original sampled-data system can be represented by an equivalent system containing switches operating with the same sampling rate. The general solution of such equivalent systems is outlined in this paper.

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Automatic Control, IRE Transactions on  (Volume:3 ,  Issue: 1 )