• DocumentCode
    1286194
  • Title

    Robust Stability Analysis of Nonlinear Discrete-Time Systems With Application to MPC

  • Author

    Picasso, Bruno ; Desiderio, Delia ; Scattolini, Riccardo

  • Author_Institution
    Dipt. di Elettron. e Inf., Politec. di Milano, Milan, Italy
  • Volume
    57
  • Issue
    1
  • fYear
    2012
  • Firstpage
    185
  • Lastpage
    191
  • Abstract
    The regional Input-to-State Stability of nonlinear, possibly discontinuous, discrete-time systems is studied under the assumption that the equilibrium of the corresponding nominal model is asymptotically stable. The obtained results are used for the synthesis of a nominal Model Predictive Control law ensuring inherent robustness. A numerical example is reported that witnesses the effectiveness of the approach.
  • Keywords
    asymptotic stability; control system synthesis; discrete time systems; nonlinear control systems; predictive control; robust control; sampled data systems; MPC; asymptotically stable; discontinuous systems; inherent robustness; input-to-state stability; nominal model predictive control law; nonlinear discrete-time systems; robust stability analysis; Additives; Equations; Lyapunov methods; Mathematical model; Robust stability; Robustness; Stability analysis; Discontinuous systems; input-to-state stabilization; model predictive control (MPC);
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2011.2163363
  • Filename
    5967892
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1286194