Generalized Feedback Homogenization and Stabilization of Linear MIMO Systems*

Konstantin Zimenko (1) , Andrey Polyakov (2, 3) , Denis Efimov (2, 3) , Wilfrid Perruquetti (2)

1 ITMO - National Research University of Information Technologies, Mechanics and Optics [St. Petersburg]
2 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 NON-A-POST - Non-Asymptotic estimation for online systems

Generalized homogenization of linear MIMO systems via linear feedback is introduced. The control algorithm for finite-time (or asymptotic) stabilization of linear MIMO systems via homogenization technique is developed. The robustness of the control algorithm with respect to system uncertainties and disturbances is studied. The theoretical results are supported by numerical examples.

Domaines: Automatique

Konstantin Zimenko, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Generalized Feedback Homogenization and Stabilization of Linear MIMO Systems*. ECC 2018 - 17th European Control Conference, Jun 2018, Limassol, Cyprus. ⟨hal-01797150⟩