New non-linear QFT technique

Shmuel Safonov*, Oded Yaniv

*Corresponding author for this work

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

1 Scopus citations


A robust feedback synthesis problem around single-input single-output nonlinear uncertain plant is considered. A new design methodology have been developed that do not use the Schauder fixed point theorem, which is a major limitation of existing nonlinear Quantitative Feedback Theory (QFT) methodology. The new method presents necessary conditions on prefilter F and linear-time-invariant controller G to satisfy closed loop tracking performance specifications. A domain of choice for G is found, translated into the frequency domain, and is presented in the form of QFT bounds for the solution controller. The result is a synthesis technique that requires shaping both of a controller and a pre-filter to satisfy QFT bounds. The new technique produces solutions with lower control efforts than the existing ones, and can be successfully applied to a much larger class of nonlinear plants as well as of specifications sets.

Original languageEnglish
Title of host publicationROCOND'09 - 6th IFAC Symposium on Robust Control Design, Proceedings
Number of pages6
EditionPART 1
StatePublished - 2009
Event6th IFAC Symposium on Robust Control Design, ROCOND'09 - Haifa, Israel
Duration: 16 Jun 200918 Jun 2009

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
ISSN (Print)1474-6670


Conference6th IFAC Symposium on Robust Control Design, ROCOND'09


  • Automatic control systems
  • Feedback synthesis
  • Nonlinear plants
  • Quantitative Feedback Theory
  • Robust control


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