대한전기학회:학술대회논문집 (Proceedings of the KIEE Conference)

대한전기학회 (The Korean Institute of Electrical Engineers)
권호 표지

Modified z-변환의 성질상의 해석적 문제점

Analytic Problems of the Properties of the Modified z-Transform

  • 정태상 (중앙대학교 제어계측공학과) ;
  • 장태규 (중앙대학교 제어계측공학과) ;
  • 이영운 (중앙대학교 제어계측공학과) ;
  • 김형준 (중앙대학교 제어계측공학과)
  • Chung, Tae-Sang (Dept. of Control and Instrumentation Engineering Chung-Ang University) ;
  • Chang, Tae-Gyu (Dept. of Control and Instrumentation Engineering Chung-Ang University) ;
  • Lee, Young-Un (Dept. of Control and Instrumentation Engineering Chung-Ang University) ;
  • Kim, Hyung-Joon (Dept. of Control and Instrumentation Engineering Chung-Ang University)
  • 발행 : 1996.11.16
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초록

While the z-transform method is a basic mathematical tool to relate the signals only at the sampling instants in analyzing and designing sampled-data control systems, the modified z-transform which is a variation of the z-transform is widely used to represent the details of continuous signals between the sampling instants. Regarding the modified z-transform method, some properties were established to relate the modified z-transform to the regular z-transform. This paper will show that these properties, in their current forms, cause some analytic problems, when they are applied to the signals with discontinuities at the sampling instants, which accordingly limit their applications significantly. In this paper, those analytic problems will be investigated, and the theorems of the modified z-transform will be revised by adopting a new notation so that those can be correctly interpreted and used without any analytic problems in the analysis of sampled data systems. Also some useful schemes of applying the modified z-transform will be developed.

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