Get access

Remarks on the stabilizability of integrator switching systems

Authors

  • Angelica Mendoza-Torres,

    1. Institute for Scientific and Technological Research of San Luis Potosi (IPICyT), SLP, Mexico
    Search for more papers by this author
  • Ilse Cervantes

    Corresponding author
    1. Institute for Scientific and Technological Research of San Luis Potosi (IPICyT), SLP, Mexico
    • Correspondence to: Ilse Cervantes, Hybrid System Laboratory, Applied Mathematics Division, Institute for Scientific and Technological Research of San Luis Potosi (IPICyT), Camino a la Presa San Jose 2055 Col. Lomas 4a. Seccion 78216 San Luis Potosi, SLP, Mexico.

      E-mail: ilse@ipicyt.edu.mx

    Search for more papers by this author

SUMMARY

In this work, a class of switching systems known as integrator is studied. Such systems have the feature of being very simple and allow us to gain insight on the effect that the switching sequence has on system stability. Three problems are analyzed. First, the practical stabilizability problem under system uncertainty is studied. Confinement regions are explicitly computed, and switching sequences based on the nominal behavior of the systems are derived. Second, the practical stabilizability problem using output feedback is solved; in this case, sufficient conditions are proposed. Finally, by joining both results, sufficient conditions for practical stabilizability of uncertain systems under output feedback are given. The results are illustrated with examples and some extensions for uncertain linear system and event-based switching are given. Copyright © 2012 John Wiley & Sons, Ltd.

Ancillary