Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
Conditions to Preserve Stability of Zeros on Sampling
Mitsuaki ISHITOBIMasatsugu OYAMADA
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1993 Volume 6 Issue 6 Pages 271-282


When a continuous-time system is sampled by use of a zero order hold, all stable poles are transformed into the unit circle. However, there is no simple relation between the zeros of a continuous-time system and its sampled version. This paper has derived sufficient conditions which guarantee that a continous-time system with zeros in the left half plane is transformed to a sampled system with zeros inside the unit circle for all sampling periods. The criteria shown in this paper are represented by coefficients of the partial fraction expansion of a continuous-time transfer function.

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