Robust stabilization via saturated feedback

David Angeli (1) , Yacine Chitour (2) , Lorenzo Marconi (3)

1 DSI - Dipartimento di Sistemi e Informatica
2 L2S - Laboratoire des signaux et systèmes
3 UNIBO - Alma Mater Studiorum Università di Bologna = University of Bologna

In this paper, we deal with the problem of stabilization of uncertain systems in the presence of input constraint. First algebraic conditions are derived for input-to-state stability of linear system with saturated linear feedback of low dimension. Then a recursive design procedure is derived for robust stabilization of block upper triangular nonlinear systems with feedforward structure.

Mots clés: feedforward nonlinear systems; input-to-state stability (ISS); robust control; saturated feedback; small gain

Domaines: Mathématiques [math]

David Angeli, Yacine Chitour, Lorenzo Marconi. Robust stabilization via saturated feedback. IEEE Transactions on Automatic Control, 2005, 50 (12), pp.1997-2014. ⟨10.1109/TAC.2005.860314⟩. ⟨hal-02320783⟩