Prediction-based control of LTI systems with input and output time-varying delays

Vincent Léchappé (1) , Emmanuel Moulay (2) , Franck Plestan (3)

1 USP - University of the South Pacific
2 XLIM-SRI - Systèmes et Réseaux Intelligents
3 LS2N - Laboratoire des Sciences du Numérique de Nantes

The stability of a prediction-based controller is studied in presence of time-varying delays both in the input and in the output. Thanks to the reduction method and a Lyapunov-Krasovskii analysis, stability conditions are derived. A comparison is also made between the single input delay and single output delay cases. It is shown that this method can be applied to stabilize output delay systems without restriction on the delay rate. The results are illustrated numerically on a double integrator.

Mots clés: reduction method; input delay; output delay; time-varying delay; Prediction-based control

Domaines: Automatique / Robotique

Vincent Léchappé, Emmanuel Moulay, Franck Plestan. Prediction-based control of LTI systems with input and output time-varying delays. Systems and Control Letters, 2018, 112, pp.24-30. ⟨10.1016/j.sysconle.2017.12.006⟩. ⟨hal-01668907⟩