Constant time horizon prediction-based control for linear systems with time-varying input delay

Sijia Kong (1) , Delphine Bresch-Pietri (1)

1 CAS - Centre Automatique et Systèmes

We introduce a constant time horizon prediction-based controller to compensate for a time-varying input delay in a linear control system. We establish that this controller guarantees closed-loop exponential stability, provided that the time-varying delay remains sufficiently close to its average value D 0 and its rate of variation sufficiently small. This conclution only has to hold in average, in a mathematical sense that we specify.

Mots clés: Delay systems; time-varying delays; prediction-based controller; distributed parameter systems

Domaines: Automatique / Robotique

Sijia Kong, Delphine Bresch-Pietri. Constant time horizon prediction-based control for linear systems with time-varying input delay. 2020 IFAC World Congress, Jul 2020, Virtual, Germany. ⟨hal-02982666⟩