Regional pole and zero placement with static output feedback via the Modified Minimum Gain Lemma

Ryan James Caverly, James Richard Forbes

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

This paper presents static output feedback controller synthesis methods that place closed-loop poles, blocking zeros, and transmission zeros within regions of the complex plane. In particular, closed-loop poles are placed within linear matrix inequality (LMI) regions of the complex plane, while closed-loop blocking and transmission zeros are placed in the open left-half plane (OLHP), and are thus minimum phase. An LMI formulation of the Modified Minimum Gain Lemma is used to ensure that the closed-loop system is minimum phase by forcing a nonzero minimum gain constraint. Two controller synthesis methods are presented, including Method 1, which places the closed-loop poles in the OLHP, and Method 2, which places closed-loop poles in the OLHP and closed-loop poles within a specified LMI region of the complex plane. Numerical examples are provided for both controller synthesis methods, with comparisons to controllers in the literature.

Original languageEnglish (US)
Title of host publication2017 American Control Conference, ACC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages364-369
Number of pages6
ISBN (Electronic)9781509059928
DOIs
StatePublished - Jun 29 2017
Externally publishedYes
Event2017 American Control Conference, ACC 2017 - Seattle, United States
Duration: May 24 2017May 26 2017

Publication series

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

Other

Other2017 American Control Conference, ACC 2017
CountryUnited States
CitySeattle
Period5/24/175/26/17

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