Stabilization of uncertain negative-imaginary systems via state-feedback control

Ian R. Petersen, Alexander Lanzon, Zhuoyue Song*

*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

The controller synthesis problem of uncertain negative-imaginary systems has important engineering applications in, for example, lightly damped flexible structures with colocated position sensors and force actuators. This paper provides a systematic controller synthesis procedure via an LMI approach to construct a state-feedback internally stabilizing controller such that the nominal closed-loop system satisfies negative-imaginary properties and a DC gain condition. As a result of this, the closed-loop system can then be guaranteed to be robustly stable against uncertainties that are stable strictly negative-imaginary (e.g. unmodeled spill-over dynamics in a lightly damped flexible structure). An numerical example is given to show the usefulness of the proposed results.

Original languageEnglish
Title of host publication2009 European Control Conference, ECC 2009
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1605-1609
Number of pages5
ISBN (Electronic)9783952417393
DOIs
Publication statusPublished - 26 Mar 2014
Externally publishedYes
Event10th European Control Conference: ECC 2009 - Budapest, Hungary
Duration: 23 Aug 200926 Aug 2009
Conference number: 10th
http://ieeexplore.ieee.org/document/7074402/
http://ieeexplore.ieee.org/document/7074461/

Publication series

Name2009 European Control Conference, ECC 2009

Conference

Conference10th European Control Conference: ECC 2009
Abbreviated titleECC
Country/TerritoryHungary
CityBudapest
Period23/08/0926/08/09
Internet address

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