New results on robust stabilization via saturated feedback

David Angeli (1, 2) , Yacine Chitour (3) , Lorenzo Marconi (4)

1 DSI - Dipartimento di Sistemi e Informatica
2 UniFI - Università degli Studi di Firenze = University of Florence = Université de Florence
3 Département de Mathématiques [ORSAY]
4 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: Actuators; Approximation theory; Asymptotic stability; Closed loop control systems; Computational complexity; Matrix algebra; Problem solving; Robustness (control systems); Set theory; Theorem proving; Vectors; Feedback stabilization; Feedforward systems; Linear control systems

Domaines: Mathématiques [math]

David Angeli, Yacine Chitour, Lorenzo Marconi. New results on robust stabilization via saturated feedback. 42nd IEEE Conference on Decision and Control, Dec 2003, Maui, United States. pp.4445-4450. ⟨hal-02320850⟩