Frequency Response of Generalized Sampled-data Hold Functions

Julio H. Braslavsky, Rick H. Middleton and Jim S. Freudenberg
Abstract
Alternatives to the traditional Zero Order Hold known as Generalized Sampled-data Hold Functions have been proposed by several authors. More recently, it has been noticed that these new holds incur intersample behavior penalties in many cases. In studying such behavior, one of the issues of relevance is the ``frequency response'' of the hold. For example, it is known that ``non-minimum phase'' zeros of the hold impose design tradeoffs in the continuous-time response to disturbances of the sampled-data system. In this paper, we go deeper into the analysis of the frequency response of this devices, and provide some preliminary results on zero location and integral constraints satisfied by the hold. One of the key results of this paper is to show a number of circumstances in which non-minimum phase hold responses may occur. We also show that asymmetric holds have zero locations off the jw-axis, and therefore, tend to have poor frequency responses, which will deteriorate sensitivity and robustness properties of the sampled-data system.

Keywords: Sampled data systems, Digital-analog conversion, Frequency response, Generalized sampled-data hold functions.

21 pages
34 references
82 Kb


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