Nonquadratic stabilization of switching TS systems

Zsofia Lendek (1) , Paula Raica (1) , Jimmy Lauber (2) , Thierry-Marie Guerra (2)

1 UTCN - Universitatea Tehnica din Cluj-Napoca
2 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

In this paper we consider stabilization of switching nonlinear systems represented by TS models. To develop the conditions we use two different switching Lyapunov functions. For each Lyapunov function a set of conditions is developed. The conditions are formulated as LMIs and relaxed using delays in the controller and the Lyapunov function. The application of the conditions is illustrated on numerical examples.

Domaines: Automatique / Robotique

Zsofia Lendek, Paula Raica, Jimmy Lauber, Thierry-Marie Guerra. Nonquadratic stabilization of switching TS systems. World Congress of the International Federation of Automatic Control, Aug 2014, Cape Town, South Africa. ⟨10.3182/20140824-6-za-1003.01493⟩. ⟨hal-03469124⟩