Switching Lyapunov functions for periodic TS systems

Zsofia Lendek (1) , Jimmy Lauber (2) , Thierry-Marie Guerra (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 the stability analysis of periodic Takagi-Sugeno fuzzy models. For this we use a switching Lyapunov function defined at the time instants when the subsystems switch. Using the developed conditions we are able to prove the stability of periodic TS systems where the local models or even the subsystems are unstable. The application of the conditions is illustrated on numerical examples

Mots clés: "Stability analysis"; "TS systems"; "periodic systems"; "non-quadratic Lyapunov function"

Domaines: Automatique / Robotique

Zsofia Lendek, Jimmy Lauber, Thierry-Marie Guerra. Switching Lyapunov functions for periodic TS systems. Systems and Control Letters, 2013, 62 (4), pp.303-310. ⟨10.3182/20120403-3-DE-3010.00032⟩. ⟨hal-03468439⟩