A push/pop phenomenon for nonlinear systems

Jeff R. Shamma*

*Corresponding author for this work

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


The author investigates performance limitations imposed by non-minimum phase characteristics of a nonlinear time-varying plant. A performance criterion is defined which, in the linear case, is analogous to minimizing the sensitivity over a given frequency band. It is shown that if the nonlinear plant is non-minimum phase, then the frequency-weighted sensitivity cannot be made arbitrarily small while keeping the overall sensitivity bounded. The non-minimum phasedness of the plant is stated in terms of deficiency in its range. These results extend the familiar push/pop phenomenon in sensitivity optimization to a nonlinear time-varying setting.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Number of pages2
ISBN (Print)0780304500
StatePublished - Jan 1992
Externally publishedYes
EventProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl
Duration: Dec 11 1991Dec 13 1991


OtherProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)
CityBrighton, Engl

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality


Dive into the research topics of 'A push/pop phenomenon for nonlinear systems'. Together they form a unique fingerprint.

Cite this