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 contributionpeer-review


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 Inc.
Number of pages5
ISBN (Electronic)9783952417393
StatePublished - 26 Mar 2014
Event2009 10th European Control Conference, ECC 2009 - Budapest, Hungary
Duration: 23 Aug 200926 Aug 2009

Publication series

Name2009 European Control Conference, ECC 2009


Conference2009 10th European Control Conference, ECC 2009


  • Discrete-time LTI systems
  • Stabilization
  • Youla parameterization


Dive into the research topics of 'An analytic characterization of a stabilizing feedback for LTI plants'. Together they form a unique fingerprint.

Cite this