Brief paper: A new concept of invariance for saturated systems

  • Authors:

  • T. Alamo;A. Cepeda;D. Limon;E. F. Camacho

  • Affiliations:

  • Departamento de Ingenieria de Sistemas y Automatica, Universidad de Sevilla, Camino de los Descubrimientos s/n., 41092 Sevilla, Spain;Departamento de Ingenieria de Sistemas y Automatica, Universidad de Sevilla, Camino de los Descubrimientos s/n., 41092 Sevilla, Spain;Departamento de Ingenieria de Sistemas y Automatica, Universidad de Sevilla, Camino de los Descubrimientos s/n., 41092 Sevilla, Spain;Departamento de Ingenieria de Sistemas y Automatica, Universidad de Sevilla, Camino de los Descubrimientos s/n., 41092 Sevilla, Spain

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2006

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Abstract

In this paper, the notions of SNS-invariance and SNS-domain of attraction are introduced. The SNS-domain of attraction serves as an estimation of the domain of attraction of a saturated system. It is shown that, in the case of single input saturated systems, any contractive set is contained in the SNS-domain of attraction. Another important characteristic of the SNS-domain of attraction is that it contains any estimation obtained by means of a linear difference inclusion of the saturated system. A simple algorithm that converges to the SNS-domain of attraction is presented. An illustrative example is given.