On modeling root-locust behavior

Ciann-Dong Yang, Fang Bo Yeh

Research output: Contribution to journalConference article

3 Citations (Scopus)

Abstract

The purpose of this paper is to establish a mathematical model precisely describing the force interaction within root loci. The concept of generalized root loci is introduced, and its relation with potential flows, such as streamline in fluids and current in electric fields, is revealed. With the help of complex variable theory, we derive formula to compute the force applied on root loci and to predict the quantitative variation of applied force when adding a pole or a zero to a root locus or removing from it. Root sensitivity and root robustness can also be quantitatively measured by using this mathematic model for root loci.

Original languageEnglish
Pages (from-to)2151-2156
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume3
Publication statusPublished - 1994 Dec 1
EventProceedings of the 2nd IEEE International Symposium on Requirements Engineering - York, Engl
Duration: 1995 Mar 271995 Mar 29

Fingerprint

Root loci
Roots
Locus
Modeling
Potential flow
Poles
Mathematic Model
Potential Flow
Complex Variables
Streamlines
Electric fields
Mathematical models
Pole
Electric Field
Fluids
Mathematical Model
Robustness
Fluid
Predict
Zero

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

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On modeling root-locust behavior. / Yang, Ciann-Dong; Yeh, Fang Bo.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 3, 01.12.1994, p. 2151-2156.

Research output: Contribution to journalConference article

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AU - Yang, Ciann-Dong

AU - Yeh, Fang Bo

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Y1 - 1994/12/1

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AB - The purpose of this paper is to establish a mathematical model precisely describing the force interaction within root loci. The concept of generalized root loci is introduced, and its relation with potential flows, such as streamline in fluids and current in electric fields, is revealed. With the help of complex variable theory, we derive formula to compute the force applied on root loci and to predict the quantitative variation of applied force when adding a pole or a zero to a root locus or removing from it. Root sensitivity and root robustness can also be quantitatively measured by using this mathematic model for root loci.

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