An Interval Technique to Check the Performance of Control Laws Applied to Wind Turbines

Nassim Loukkas (1) , Nacim Meslem (1) , John Jairo Martinez Molina (2)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité
2 GIPSA-SLR - GIPSA - Systèmes linéaires et robustesse

In this work, we apply reachability analysis to design a set-membership algorithm to evaluate the performance of nominal controllers. The proposed algorithm allows to check the robustness of given controllers, designed from nominal models, against both nonlinearities and uncertainties of real systems. Three main tasks are carried out by this algorithm:Step 1: Transform the desired control speci cations as set-membership criteria.Step 2: Compute an outer-approximation of the reachable set of the closed-loop system.Step 3: Evaluate the set-membership criteria to check either the desired specifications are satisfied by all the possible behaviors of the closed-loop system.

Mots clés: uncertain nonlinear systems; interval analysis; reachability analysis; control perfor- mance; set-membership tests; control validation methods

Domaines: Automatique

Nassim Loukkas, Nacim Meslem, John Jairo Martinez Molina. An Interval Technique to Check the Performance of Control Laws Applied to Wind Turbines. SWIM 2016 - 9th Summer Workshop on Interval Methods, Jun 2016, Lyon, France. ⟨hal-01378776⟩