Robustness to Diffusion of Prediction-based Control for Convection Processes

Delphine Bresch-Pietri (1) , Miroslav Krstic (2)

1 GIPSA-SLR - GIPSA - Systèmes linéaires et robustesse
2 MAE - UC San Diego - Department of Mechanical and Aerospace Engineering [Univ California San Diego]

In this paper, we consider an Ordinary Differential Equation (ODE) with convection and diffusion in the actuation path. We prove that a prediction-based controller, designed to compensate for the sole convective PDE, actually achieves exponential stabilization of the complete plant, provided that diffusion is small enough. Our result is obtained in L p norm and covers two cases, full-state feedback and boundary feedback. Simulation results emphasize the validity of this approach.

Domaines: Systèmes et contrôle [cs.SY]

Delphine Bresch-Pietri, Miroslav Krstic. Robustness to Diffusion of Prediction-based Control for Convection Processes. CDC 2016 - 55th IEEE Conference on Decision and Control, Dec 2016, Las Vegas, NV, United States. ⟨hal-01418670⟩