Robustness of Nonlinear Systems with Respect to Delay and Sampling of the Controls

Frédéric Mazenc (1, 2) , Michael Malissof (3) , Thach Ngoc Dinh (1, 2)

1 DISCO - Dynamical Interconnected Systems in COmplex Environments
2 L2S - Laboratoire des signaux et systèmes
3 Department of Mathematics

We consider continuous time nonlinear time varying systems that are globally asymptotically stabilizable by state feedbacks. We study the stability of these systems in closed loop with controls that are corrupted by both delay and sampling. We establish robustness results through a Lyapunov approach of a new type.

Domaines: Automatique

Frédéric Mazenc, Michael Malissof, Thach Ngoc Dinh. Robustness of Nonlinear Systems with Respect to Delay and Sampling of the Controls. SIAM Conference on Control and Its Applications (CT13), Jul 2013, San Diego, United States. pp.1-5. ⟨hal-00926667⟩