Teixeira singularities in 3D switched feedback control systems

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.

• Type: Journal
• Year: 2010
• Where: SCL
• Authors: A. Colombo, Mario di Bernardo, Enric Fossas, M. R. Jeffrey
• Keywords: Control Systems, SCL 2010, Teixeira Singularity, Threedimensional Discontinuous Feedback