Root locus for a controller class that yields quadratic gain parameterization

Brandon J. Wellman, Jesse B. Hoagg

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations

Abstract

We present rules for constructing the root locus for a linear feedback system, where the closed-loop denominator polynomial is quadratic in the root-locus parameter k. These quadratic root-locus rules apply to a class of controllers that are rational functions of k. We provide controller design examples to demonstrate the quadratic root locus. For example, we use quadratic root locus to high-gain stabilize the triple integrator; this is not possible with classical root locus.

Original languageEnglish
Title of host publication2013 American Control Conference, ACC 2013
Pages6625-6630
Number of pages6
DOIs
StatePublished - 2013
Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
Duration: Jun 17 2013Jun 19 2013

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Conference

Conference2013 1st American Control Conference, ACC 2013
Country/TerritoryUnited States
CityWashington, DC
Period6/17/136/19/13

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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