Teixeira singularities in 3D switched feedback control systems

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

doi:10.1016/j.sysconle.2010.07.006

Teixeira singularities in 3D switched feedback control systems

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

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Abstract

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 contribution	Teixeira singularities in 3D switched feedback control systems
Original language	English
Pages (from-to)	615 - 622
Number of pages	8
Journal	Systems and Control Letters
Volume	59
Issue number	10
DOIs	https://doi.org/10.1016/j.sysconle.2010.07.006
Publication status	Published - Oct 2010

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Engineering Mathematics Research Group

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10.1016/j.sysconle.2010.07.006

Teixeira singularities in 3D switched feedback control systemsSubmitted manuscript, 419 KB

http://www.sciencedirect.com/science/article/pii/S0167691110000939

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title = "Teixeira singularities in 3D switched feedback control systems",

abstract = "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{\textquoteright}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.",

author = "A Colombo and \{Di Bernardo\}, M and E Fossas and MR Jeffrey",

year = "2010",

month = oct,

doi = "10.1016/j.sysconle.2010.07.006",

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volume = "59",

pages = "615 -- 622",

journal = "Systems and Control Letters",

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T1 - Teixeira singularities in 3D switched feedback control systems

AU - Colombo, A

AU - Di Bernardo, M

AU - Fossas, E

AU - Jeffrey, MR

PY - 2010/10

Y1 - 2010/10

N2 - 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.

AB - 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.

U2 - 10.1016/j.sysconle.2010.07.006

DO - 10.1016/j.sysconle.2010.07.006

M3 - Article (Academic Journal)

VL - 59

SP - 615

EP - 622

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 10

ER -

Teixeira singularities in 3D switched feedback control systems

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