Warping NMPC for online generation and tracking of optimal trajectories
Jesus Lago (TU Delft - Team Bart De Schutter, VITO-Energyville)
Michael Erhard (SkySails Power, University of Freiburg)
Moritz Diehl (Albert-Ludwigs-Universität Freiburg)
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Abstract
Generation of feasible and optimal reference trajectories is crucial in tracking Nonlinear Model Predictive Control. Especially, for stability and optimality in presence of a time varying parameter, adaptation of the tracking trajectory has to be implemented. General approaches are real-time generation of trajectories or switching between a discrete set of precomputed trajectories. In order to circumvent the operational efforts of these methods for a special type of dynamical systems, we propose time warping as an alternative approach. This algorithm implements online generation of tracking trajectories by warping a single precomputed reference. In detail, warpable systems, feasibility and optimality of trajectories and the controller implementation are discussed. Finally, as an application example, simulation results of a tethered kite system for airborne wind energy generation are presented.