Non-quadratic stabilization of switched affine systems

Zohra Kader (1, 2) , Christophe Fiter (1, 3, 2) , Laurentiu Hetel (1, 4, 2) , Lotfi Belkoura (1, 3, 5, 2)

1 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
3 Université de Lille
4 Centrale Lille
5 NON-A - Non-Asymptotic estimation for online systems

In this paper we consider the problem of non-quadratic stabilization of switched affine systems. Using a switching Lyaponuv function, LMI conditions based constructive method are proposed in order to design nonlinear switching surfaces and provide an estimation of the domain of attraction. An illustrative example is given in order to show the efficiency of the proposed method.

Mots clés: Lur'e Lyapunov function; local stabilization; Hybrid dynamical systems; nonlinear switching surfaces; Switched systems; bilinear systems

Domaines: Automatique

Zohra Kader, Christophe Fiter, Laurentiu Hetel, Lotfi Belkoura. Non-quadratic stabilization of switched affine systems. IFAC 2017 - 20th World Congress of the International Federation of Automatic Control,, Jul 2017, Toulouse, France. pp.1-4. ⟨hal-01689249⟩