An analytic characterization of a stabilizing feedback for LTI plants

Andres A. Peters, Diego A. Oyarzun, Eduardo I. Silva, Mario E. Salgado

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The characterization of all stabilizing controllers via the Youla Parameterization requires prior knowledge of one stabilizing feedback. This task is trivial in the case of stable plants. In the unstable case, one needs to use a suitable design technique to obtain such a stabilizing controller. The resulting controller is usually not an explicit function of plant dynamical features. In this paper, we propose a stabilizing controller design such that the sensitivity function can be expressed as an explicit function of the non-minimum phase zeros, time delays, and unstable poles of the plant (and their directions in the multiple-input multiple-output case). These dynamical features are known to impose fundamental limitations on control performance. The results in this paper highlight their relevance since they are shown to be the minimum information required to build a stabilizing controller.
Original languageEnglish
Title of host publication2009 European Control Conference, ECC 2009
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages5
ISBN (Print)9783952417393
Publication statusPublished - 2 Apr 2015
Event2009 10th European Control Conference, ECC 2009 - Budapest, Hungary
Duration: 23 Aug 200926 Aug 2009


Conference2009 10th European Control Conference, ECC 2009


  • control system synthesis
  • feedback
  • linear systems
  • poles and zeros
  • sensitivity
  • stability
  • stabilizing feedback analytic characterization
  • LTI plants
  • Youla parameterization
  • plant dynamical features
  • stabilizing controller design
  • sensitivity function
  • nonminimum phase zeros
  • time delays
  • multiple-input multiple-output case
  • DH-HEMTs
  • Europe
  • Decision support systems
  • Discrete-time LTI systems
  • Youla Parameterization
  • Stabilization


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