Feedback Stabilization with Discrete Measurements using Bounds on Fundamental Matrices

Frederic Mazenc (1, 2) , Michael Malisoff (3)

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

We prove a new robust stabilization theorem for systems with time-varying disturbances and sampled measurements, using novel bounds on fundamental matrices for systems with disturbances. Our main tools use properties of positive systems and Metzler matrices. Our numerical example illustrates an advantage of using our method instead of previous methods.

Mots clés: stabilization; sampling

Domaines: Automatique

Frederic Mazenc, Michael Malisoff. Feedback Stabilization with Discrete Measurements using Bounds on Fundamental Matrices. IEEE 60th Conference on Decision and Control (CDC 2021), Dec 2021, Austin, United States. ⟨10.1109/cdc45484.2021.9682811⟩. ⟨hal-03431458⟩