Teixeira singularities in 3D switched feedback control systems

A Colombo, M di Bernardo, E Fossas, Mike R Jeffrey

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This paper is concerned with the analysis of a singularity that can occur in three-dimensional 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.
Original languageEnglish
Pages (from-to)615-622
Number of pages8
JournalSystems & Control Letters
Issue number10
Publication statusPublished - 2010


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