Local stabilization of discrete-time nonlinear systems

Zsofia Lendek (1) , Jimmy Lauber (2)

1 Technical University of Cluj-Napoca
2 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

This paper considers local stability analysis and local stabilization of discrete-time nonlinear systems represented by Takagi-Sugeno fuzzy models. Conditions are established using Lyapunov functions and controller gains that depend also on past samples. Together with the stability and design conditions, an estimate of the region of attraction is also determined. The developed conditions are discussed and illustrated on numerical examples.

Mots clés: "Stability analysis"; "Lyapunov methods"; "Asymptotic stability"; "Nonlinear systems"; "Analytical models"; "Indexes"; "Delays"

Domaines: Automatique / Robotique

Zsofia Lendek, Jimmy Lauber. Local stabilization of discrete-time nonlinear systems. IEEE Transactions on Fuzzy Systems, 2020, ⟨10.1109/TFUZZ.2020.3031383⟩. ⟨hal-03424347⟩