Root-locus dynamics

Ciann-Dong Yang, Chia Hung Wei

Research output: Contribution to journalConference article

Abstract

In this paper, the discussion of root locus is taken from the point of view of field theory by treating root locus as some kind of potential flows. This approach throws a new light on root locus and suggests a physical modeling of root locus in terms of the streamlines in flow field and electric field. Based on potential theory we derive the governing equations of root locus for time-varying systems, in terms of which the force interaction existing within root loci can be explained, and root sensitivity and root robustness can be defined. Furthermore, the superposition of elementary potential flows makes it possible to reconstruct open-loop transfer function from the desired root locus - the so-called inverse root-locus problem.

Original languageEnglish
Pages (from-to)63-68
Number of pages6
JournalProceedings of the American Control Conference
Volume1
Publication statusPublished - 2005 Sep 1
Event2005 American Control Conference, ACC - Portland, OR, United States
Duration: 2005 Jun 82005 Jun 10

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Root loci
Potential flow
Time varying systems
Transfer functions
Flow fields
Electric fields

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Yang, Ciann-Dong ; Wei, Chia Hung. / Root-locus dynamics. In: Proceedings of the American Control Conference. 2005 ; Vol. 1. pp. 63-68.
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Root-locus dynamics. / Yang, Ciann-Dong; Wei, Chia Hung.

In: Proceedings of the American Control Conference, Vol. 1, 01.09.2005, p. 63-68.

Research output: Contribution to journalConference article

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AU - Wei, Chia Hung

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