Dynamic Soaring in Unspecified Wind Shear: A Real-time Quadratic-programming Approach

For realizing the autonomous dynamic soaring maneuver without relying on known wind shear profiles, this paper develops a real-time trajectory correction approach. The strategy is inspired by the fact that large seabirds do not know the wind profile and yet they presumably can feel the wind variations and predict their own motions. Utilizing only the instant wind information rather than the complete profile, this approach formulates a strictly convex quadratic programming problem based on the instant wind strength increment and the predicted errors to determine bounded control inputs. Initialized by an energy-neutral dynamic soaring trajectory that requires the minimum wind strength, control inputs can be corrected in real time. Simulation results demonstrate the effectiveness of the proposed approach under different unspecified wind profiles.

[1]  C. J. Wood THE FLIGHT OF ALBATROSSES (A COMPUTER SIMULATION) , 2008 .

[2]  Anouck Girard,et al.  Perpetual Dynamic Soaring in Linear Wind Shear , 2014 .

[3]  Eric W. Frew,et al.  Efficient Trajectory Development for Small Unmanned Aircraft Dynamic Soaring Applications , 2015 .

[4]  Ilan Kroo,et al.  Robust Trajectory Optimization for Dynamic Soaring , 2012 .

[5]  Florian Holzapfel,et al.  Wind Estimation for Fixed-Wing Aircraft Using Command Tracking Approach , 2018, 2018 26th Mediterranean Conference on Control and Automation (MED).

[6]  P. Tsiotras,et al.  Optimal Aircraft Trajectories for Wind Energy Extraction , 2017 .

[7]  C. Pennycuick The Flight of Petrels and Albatrosses (Procellariiformes), Observed in South Georgia and its Vicinity , 1982 .

[8]  Michael S Triantafyllou,et al.  Optimal dynamic soaring consists of successive shallow arcs , 2017, Journal of The Royal Society Interface.

[9]  G. Sachs Minimum shear wind strength required for dynamic soaring of albatrosses , 2004 .

[10]  H. Weimerskirch,et al.  Frigate birds track atmospheric conditions over months-long transoceanic flights , 2016, Science.

[11]  Michael J. Allen Guidance and Control of an Autonomous Soaring Vehicle with Flight Test Results , 2007 .

[12]  G. Sachs,et al.  Experimental verification of dynamic soaring in albatrosses , 2013, Journal of Experimental Biology.

[13]  Yiyuan Zhao,et al.  Minimum fuel powered dynamic soaring of unmanned aerial vehicles utilizing wind gradients , 2004 .

[14]  G. Sachs,et al.  Application of Optimal Control Theory to Dynamic Soaring of Seabirds , 2005 .

[15]  J. Neidhoefer,et al.  Wind Field Estimation for Small Unmanned Aerial Vehicles , 2010 .

[16]  Demoz Gebre-Egziabher,et al.  Observability and Performance Analysis of a Model-Free Synthetic Air Data Estimator , 2019, Journal of Aircraft.

[17]  Gottfried Sachs,et al.  OPTIMAL UTILIZATION OF WIND ENERGY FOR DYNAMIC SOARING , 1991 .

[18]  Florian Holzapfel,et al.  Fast real-time three-dimensional wind estimation for fixed-wing aircraft , 2017 .

[19]  Haiyang Chao,et al.  Model Aided Estimation of Angle of Attack, Sideslip Angle, and 3D Wind without Flow Angle Measurements , 2018 .

[20]  D. Clarence,et al.  A Mathematical Analysis of the Dynamic Soaring Flight of the Albatross with Ecological Interpretations , 1964 .

[21]  Gottfried Sachs,et al.  Flying at No Mechanical Energy Cost: Disclosing the Secret of Wandering Albatrosses , 2012, PloS one.

[22]  Radhakant Padhi,et al.  Model Predictive Static Programming: A Computationally Efficient Technique For Suboptimal Control Design , 2009 .

[23]  G. Sachs,et al.  SHEAR WIND STRENGTH REQUIRED FOR DYNAMIC SOARING AT RIDGES , 2001 .