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Teixeira singularities in 3D switched feedback control systems


Reference:

Colombo, A., di Bernardo, M., Fossas, E. and Jeffrey, M. R., 2010. Teixeira singularities in 3D switched feedback control systems. Systems & Control Letters, 59 (10), pp. 615-622.

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    Official URL:

    http://dx.doi.org/10.1016/j.sysconle.2010.07.006

    Abstract

    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.

    Details

    Item Type Articles
    CreatorsColombo, A., di Bernardo, M., Fossas, E. and Jeffrey, M. R.
    DOI10.1016/j.sysconle.2010.07.006
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher Statement2009SCL_LureTeixeira~.pdf: NOTICE: this is the author’s version of a work that was accepted for publication in Systems & Control Letters. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Colombo, A., di Bernardo, M., Fossas, E. and Jeffrey, M. R., 2010. Teixeira singularities in 3D switched feedback control systems. Systems & Control Letters, 59 (10), pp. 615-622. DOI:http://dx.doi.org/10.1016/j.sysconle.2010.07.006
    RefereedYes
    StatusPublished
    ID Code26962

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