Stability analysis for interconnected systems with 'mixed' negative-imaginary and passivity

Sajal K. Das, Hemanshu R. Pota, Ian R. Petersen

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

6 Citations (Scopus)

Abstract

This paper presents an analytical framework to examine the unconditional stability of two stable, linear timeinvariant systems in a positive feedback interconnection where one system has 'mixed' negative-imaginary and passivity properties and other system has 'mixed' negative-imaginary and negative-passivity properties. The examination of the stability of above mentioned interconnection is done by using a Nyquist criteria, and it is shown that the positive feedback interconnection between such two systems is guaranteed to be finite-gain stable. A numerical example is presented in the paper to demonstrate the usefulness of the proposed analytical framework.

Original languageEnglish
Title of host publication2013 3rd Australian Control Conference, AUCC 2013
Pages445-449
Number of pages5
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event2013 3rd Australian Control Conference, AUCC 2013 - Fremantle, WA, Australia
Duration: 4 Nov 20135 Nov 2013

Publication series

Name2013 3rd Australian Control Conference, AUCC 2013

Conference

Conference2013 3rd Australian Control Conference, AUCC 2013
Country/TerritoryAustralia
CityFremantle, WA
Period4/11/135/11/13

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