Analysis via the Regions of Saturation Model

  • Sophie TarbouriechEmail author
  • Germain Garcia
  • João Manoel Gomes da SilvaJr.
  • Isabelle Queinnec


This chapter deals with the problem of stability analysis of linear control systems with input saturations using the regions of saturation model. It is shown that considering such a representation for the closed-loop system it is possible to derive necessary and sufficient conditions to ensure that a polyhedral region in the state space is a region of asymptotic stability. These conditions can be tested by linear programming algorithms. The determination of ellipsoidal regions of stability is also presented. In this case only sufficient conditions can be derived. From these conditions, LMI-based optimization problems are proposed to generate regions of asymptotic stability.


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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • Sophie Tarbouriech
    • 1
    Email author
  • Germain Garcia
    • 2
  • João Manoel Gomes da SilvaJr.
    • 3
  • Isabelle Queinnec
    • 1
  1. 1.Laboratoire Analyse et Architecture des Systèmes (LAAS)CNRSToulouse CX 4France
  2. 2.Laboratoire Analyse et Architecture des Systèmes (LAAS)CNRSToulouse CX 4France
  3. 3.Departamento de Engenharia ElétricaUniversidade Federal do Rio Grande do SulPorto AlegreBrazil

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