NDLI: The Effect of Pole and Zero Locations on the Transient Response of Linear Dynamic Systems

Content Provider	IEEE Xplore Digital Library
Author	Mulligan Jr., J.H.
Copyright Year	1931
Abstract	The effect of the locations of the poles and zeros of the transfer function of a linear dynamic system on the locations and the magnitudes of the maxima and minima of the transient response resulting from the application of a step-function input to the system is studied. Consideration is given to the necessary conditions for the production of a monotonic time response, expressed in terms of the pole and zero locations. In general, the results of the investigation are limited to stable low-pass systems, having only first-order poles and no poles on the jω axis. A method of computing the locations and magnitudes of the maxima and minima in the time response is given which allows the calculations to be made in a straightforward and efficient manner. The evaluation of the transient performance of many practical lowpass systems can be simplified considerably by the use of this method. It is shown that, under certain conditions of pole and zero locations, the normalized time response may be well approximated by a single dominant time term. Methods of ascertaining from the pole and zero pattern whether these conditions exist are given. On the basis of the dominant-term approximation, a method is outlined for the design of pole and zero patterns to yield prescribed time-response characteristics of a certain class to step-function inputs. Constant overshoot-factor curves and charts are provided for this purpose and for rapid solution of analysis problems when applicable.
Starting Page	516
Ending Page	529
Page Count	14
File Size	3085656
File Format	PDF
ISSN	00968390
Volume Number	37
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1949-05-01
Access Restriction	Subscribed
Rights Holder	The Institute of Radio Engineers, Inc. (IRE)
Subject Keyword	Poles and zeros Transient response Time factors Transient analysis Servomechanisms Laboratories Broadband amplifiers Transfer functions Production Operational amplifiers
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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