Robust switching control design for uncertain discrete-time switched affine systems.

Carolina Albea-Sanchez (1) , Antonio Ventosa-Cutillas (2) , Alexandre Seuret (1) , Francisco Gordillo (2)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
2 ISA - Departamento de Ingenieria de Sistemas y Automatica [Sevilla]

This paper focusses on the design of a robust switching control law for an uncertain discrete-time switched affine system. In order to cope with model uncertainties, a novel control law is introduced and its parameters result from an optimization problem, aiming at reducing the volume of the attractive and invariant set, where the solutions of the closed-loop systems converge to. The design is based on a quadratic Lyapunov function and guarantees global practical stability and robustness with respect to parameter variations. Our method and the associated relaxed control law are then compared with existing conditions from the literature and are validated through numerical examples.

Mots clés: robust control; Discrete-time switched affine systems; Lyapunov analysis; LMI

Domaines: Automatique

Carolina Albea-Sanchez, Antonio Ventosa-Cutillas, Alexandre Seuret, Francisco Gordillo. Robust switching control design for uncertain discrete-time switched affine systems.. International Journal of Robust and Nonlinear Control, 2020, 30 (17), pp.7089-7102. ⟨10.1002/rnc.5158⟩. ⟨hal-01873023v1⟩