%X Among the several problems arising in the Airborne Wind Energy paradigm, an essential one is the control of the tethered airfoil trajectory during power generation. Tethered flight is a fast, strongly nonlinear, unstable and constrained process, motivating control approaches based on fast Non-linear Model Predictive Control. In this paper, a computationally efficient model is proposed, based on Differential-Algebraic equations. A control scheme based on Nonlinear Model Predictive Control (NMPC) and an estimator based on Moving Horizon Estimation (MHE) is proposed to handle the wind turbulences. In order to make a real-time application of Non-linear Model Predictive Control possible, a Real-Time Iteration scheme is proposed %L eprints4045 %D 2013 %K aerospace control;atmospheric turbulence;differential algebraic equations;infinite horizon;nonlinear control systems;power generation control;predictive control;stability;trajectory control;wind;wind power;MHE;NMPC;airborne wind energy system control;control approach;differential-algebraic equation;fast strongly nonlinear unstable constrained process;moving horizon estimation;nonlinear model predictive control;power generation;real-time iteration scheme;tethered airfoil trajectory control;tethered flight;wind turbulence handling;Computational modeling;Estimation;Power generation;Process control;Real-time systems;Trajectory;Vectors;Optimal Control;Real-time iteration;fast NMPC & MHE;flight control;trajectory tracking %A S. Gros %A Mario Zanon %A M. Diehl %C Zurich, Switzerland %B European Control Conference (ECC), 2013 %T Control of Airborne Wind Energy systems based on Nonlinear Model Predictive Control amp; Moving Horizon Estimation %P 1017-1022 %I IEEE