Teixeira singularities in 3D switched feedback control systems

A Colombo, M Di Bernardo, E Fossas, MR Jeffrey

Research output: Contribution to journalArticle (Academic Journal)peer-review

28 Citations (Scopus)
323 Downloads (Pure)


This paper is concerned with the analysis of a singularity that can occur in threedimensional
discontinuous feedback control systems. The singularity is the two-fold – a
tangency of orbits to both sides of a switching manifold. Particular attention is placed on
the Teixeira singularity, which previous literature suggests as a mechanism for dynamical
transitions in this class of systems. We show that such a singularity cannot occur in classical
single-input single-output systems in the Lur’e form. It is, however, a potentially dangerous
phenomenon in multiple-input multiple-output switched control systems. The theoretical
derivation is illustrated by means of a representative example.
Translated title of the contributionTeixeira singularities in 3D switched feedback control systems
Original languageEnglish
Pages (from-to)615 - 622
Number of pages8
JournalSystems and Control Letters
Issue number10
Publication statusPublished - Oct 2010


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