Stability of positive-position feedback controllers with low-frequency restrictions

Emiliano Pereira, Sumeet Sunil Aphale

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
7 Downloads (Pure)


Positive-position feedback has been presented as a suitable alternative to the negative-velocity feedback approach taken in active damping applications. This has motivated the application of Negative-Imaginary Systems theory to study the stability of controllers based on positive-position feedback. However, this theory cannot be applied in cases where low-frequency dynamics of the sensors, actuators and/or controllers hinder the application of Negative-Imaginary stability conditions. This work extends the theory of Negative-Imaginary Systems by obtaining simple analytical stability conditions when such low-frequency restrictions are present.
Original languageEnglish
Pages (from-to)2900-2909
Number of pages10
JournalJournal of Sound and Vibration
Issue number12
Early online date4 Feb 2013
Publication statusPublished - 10 Jun 2013


  • vibration control
  • stability


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