Output feedback stabilisation of uncertain nonminimum-phase systems

Dimitrios Karagiannis, Zhong Ping Jiang, Romeo Ortega, Alessandro Astolfi

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


In this paper the I&I methodology is applied to the problem of asymptotic stabilisation by means of output feedback. The approach consists in writing the closed-loop system as a cascaded interconnection of two stable systems possessing specific input-output and asymptotic properties. The methodology is further extended to tackle systems with unstructured uncertainties, i.e., with unknown functions appearing in the system equations, thus yielding a robust stabilisation result. This is mainly achieved by expressing the system as a feedback interconnection of input-to-state stable (ISS) systems and applying a small-gain argument. The approach is illustrated with two practical examples. The first is the problem of output voltage regulation for a DC-DC boost converter. The second is the design of a globally asymptotically stabilising controller for the benchmark translational oscillator/rotational actuator (TORA) system, where only the rotation angle is measurable.

Original languageEnglish (US)
Title of host publication2007 European Control Conference, ECC 2007
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9783952417386
StatePublished - 2007
Event2007 9th European Control Conference, ECC 2007 - Kos, Greece
Duration: Jul 2 2007Jul 5 2007

Publication series

Name2007 European Control Conference, ECC 2007


Other2007 9th European Control Conference, ECC 2007

ASJC Scopus subject areas

  • Control and Systems Engineering


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