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.
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 | |
| Publication status | Published - Oct 2010 |
Research Groups and Themes
- Engineering Mathematics Research Group