Observer-based feedback stabilization for Lipschitz nonlinear systems with extension to $H_{\infty }$ performance analysis: Design and experimental results

Assem Thabet (1) , Ghazi Bel Haj Frej (1) , Mohamed Boutayeb (2)

1 Modélisation, Analyse et Commande de Systèmes - MACS (Gabès, Tunisie)
2 CRAN - Centre de Recherche en Automatique de Nancy

This brief proposes design of a robust observerbased feedback stabilization for Lipschitz nonlinear systems. The objective is the use of the differential mean value theorem to introduce a general condition on the nonlinear functions. To ensure asymptotic stability, sufficient conditions that are expressed in terms of linear matrix inequalities. High performances are shown through real-time implementation with digital signal processing device (ARDUINO MEGA 2560).

Mots clés: Observers; Nonlinear systems; Linear matrix inequalities; Stability analysis; Transmission line matrix methods; Asymptotic stability; Robustness

Domaines: Automatique / Robotique

Assem Thabet, Ghazi Bel Haj Frej, Mohamed Boutayeb. Observer-based feedback stabilization for Lipschitz nonlinear systems with extension to $H_{\infty }$ performance analysis: Design and experimental results. IEEE Transactions on Control Systems Technology, 2018, 26 (1), pp.321-328. ⟨10.1109/TCST.2017.2669143⟩. ⟨hal-01862473⟩