Rotational start-up of tethered airplanes based on nonlinear MPC and MHE

The idea of Airborne Wind Energy (AWE) is to generate power by flying a tethered airfoil across the windflow. Tethered flight is a fast, strongly nonlinear, unstable and constrained process, motivating control approaches based on fast Nonlinear Model Predictive Control (NMPC) and state estimation approaches based on Moving Horizon Estimation (MHE). In particular, the start-up phase of AWE systems is an involved procedure, and starting and landing using NMPC has not been investigated yet. In this paper, a control strategy for starting-up AWE systems is proposed, based on a rotating carousel that is currently built at the KU Leuven. A computationally efficient 6-DOF control model for a small-scale, rigid airfoil is presented. We present and investigate a control scheme based on receding-horizon Nonlinear Model Predictive Control to track reference trajectories and Moving Horizon Estimation to estimate the actual system state and parameters. The MHE shceme is able to estimate also the wind speed, given no direct wind measurement.

[1]  Moritz Diehl,et al.  High-speed moving horizon estimation based on automatic code generation , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[2]  Johannes P. Schlöder,et al.  An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization. Part 1: theoretical aspects , 2003, Comput. Chem. Eng..

[3]  Mario Zanon,et al.  Orbit control for a power generating airfoil based on nonlinear MPC , 2012, 2012 American Control Conference (ACC).

[4]  Moritz Diehl,et al.  An auto-generated real-time iteration algorithm for nonlinear MPC in the microsecond range , 2011, Autom..

[5]  Ervin Bossanyi,et al.  Further load reductions with individual pitch control , 2005 .

[6]  H. Bock,et al.  A Multiple Shooting Algorithm for Direct Solution of Optimal Control Problems , 1984 .

[7]  L. Biegler An overview of simultaneous strategies for dynamic optimization , 2007 .

[8]  Mario Zanon,et al.  Nonlinear MPC and MHE for Mechanical Multi-Body Systems with Application to Fast Tethered Airplanes , 2012 .

[9]  MORITZ DIEHL,et al.  A Real-Time Iteration Scheme for Nonlinear Optimization in Optimal Feedback Control , 2005, SIAM J. Control. Optim..

[10]  M. Diehl,et al.  Real-time optimization and nonlinear model predictive control of processes governed by differential-algebraic equations , 2000 .

[11]  Jan Swevers,et al.  In-flight Estimation of the Aerodynamic Roll Damping and Trim Angle for a Tethered Aircraft based on Multiple-shooting , 2012 .

[12]  Lucy Y. Pao,et al.  Control of wind turbines: Past, present, and future , 2009, 2009 American Control Conference.

[13]  Bandu N. Pamadi,et al.  Performance, Stability, Dynamics, and Control of Airplanes , 2015 .

[14]  Moritz Diehl,et al.  Real-Time Control of a Kite-Model Using an Auto-Generated Nonlinear MPC Algorithm , 2011 .

[15]  M. Diehl,et al.  Real-time optimization and nonlinear model predictive control of processes governed by differential-algebraic equations , 2000 .

[16]  M. L. Loyd Crosswind kite power , 1980 .

[17]  Moritz Diehl,et al.  Nonlinear MPC of kites under varying wind conditions for a new class of large‐scale wind power generators , 2007 .

[18]  M. V. Cook Flight Dynamics Principles , 1997 .