A Coordinate Descent Method for Multidisciplinary Design Optimization of Electric-Powered Winged UAVs

In this paper, we present an optimization framework for the conceptual design of electric-powered unmanned aerial vehicles (UAVs) with wings, to meet the community’s ever increasing interest in developing novel efficient winged UAVs. In our framework, the UAV design is formulated as an optimization problem with a user-defined objective. It also accepts various constraints, such as restricted aircraft size, weight, and preliminary wing (and fuselage) shape determined by industrial design, limited availability of propulsion systems, etc. Such a framework is particularly suitable for the design of small UAVs with many practical limitations, such as portability, size, cost, etc. In evaluating a given aircraft configuration (e.g., wing, fuselage, landing gears, etc.), we adopt various empirical aerodynamic models that have been commonly used in aviation history. We also retrieve hundreds of propeller and motor data from their manufacturers and fit them to constitute a high-fidelity propulsion system database. Wind tunnel testing on existing airframe data shows that our aerodynamic models fit the measurements very well. Propeller testing is also carried out to validate the fitted propeller model. With the ability to evaluate a given aircraft and propulsion, we propose a coordinate descent method that nicely decouples the optimization for the aircraft configuration, which involves continuous variables, and the propulsion system, which involves discrete variables (e.g., motor index, propeller index). With the presented optimization framework and coordinate descent method, a quadrotor tail-sitter vertical takeoff and landing (VTOL) UAV is designed, manufactured and tested.

[1]  Michael S. Selig,et al.  Reynolds number effects on the performance of small-scale propellers , 2014 .

[2]  Ya Wang,et al.  Design and implementation of a quadrotor tail-sitter VTOL UAV , 2017, 2017 IEEE International Conference on Robotics and Automation (ICRA).

[3]  L. W. Traub,et al.  Validation of endurance estimates for battery powered UAVs , 2013, The Aeronautical Journal (1968).

[4]  L. Prandtl Tragflügeltheorie. I. Mitteilung , 1918 .

[5]  Joseph A. Schetz,et al.  Full Configuration Drag Estimation , 2009 .

[6]  Jaroslaw Sobieszczanski-Sobieski,et al.  Multidisciplinary aerospace design optimization - Survey of recent developments , 1996 .

[7]  Yucel Orkut Aktas,et al.  Design of a Commercial Hybrid VTOL UAV System , 2013, 2013 International Conference on Unmanned Aircraft Systems (ICUAS).

[8]  J. A. Blackwell Numerical method to calculate the induced drag or optimum loading for arbitrary non-planar aircraft , 1976 .

[9]  Gordon C. Oates Aircraft Propulsion Systems Technology and Design , 1989 .

[10]  Michael S. Selig,et al.  Propeller Performance Data at Low Reynolds Numbers , 2011 .

[11]  John David Anderson,et al.  Aircraft performance and design , 1998 .

[12]  Valerie Michelle Manning,et al.  Large-scale design of supersonic aircraft via collaborative optimization , 1999 .

[13]  Marc A. Stelmack,et al.  Multidisciplinary design optimization of an electric-powered unmanned air vehicle , 1999 .

[14]  Richard Shepherd Shevell,et al.  Fundamentals of Flight , 1983 .

[15]  M. Drela XFOIL: An Analysis and Design System for Low Reynolds Number Airfoils , 1989 .

[16]  C. J. Pennycuick,et al.  Chapter 1 – MECHANICS OF FLIGHT , 1975 .

[17]  Michael Chun-Yung Niu,et al.  Airframe Structural Design: Practical Design Information and Data on Aircraft Structures , 1988 .

[18]  M. J. D. Powell,et al.  A fast algorithm for nonlinearly constrained optimization calculations , 1978 .

[19]  Kroo Ilan,et al.  Multidisciplinary Optimization Methods for Aircraft Preliminary Design , 1994 .

[20]  E. Torenbeek,et al.  Synthesis of Subsonic Airplane Design , 1979 .

[21]  Stephen J. Wright Coordinate descent algorithms , 2015, Mathematical Programming.

[22]  Wojciech Grendysa,et al.  MINI UAV DESIGN AND OPTIMIZATION FOR LONG ENDURANCE MISSION , .

[23]  Lakmal Seneviratne,et al.  A review on the platform design, dynamic modeling and control of hybrid UAVs , 2015, 2015 International Conference on Unmanned Aircraft Systems (ICUAS).

[24]  Ranjan Ganguli,et al.  Multidisciplinary Design Optimization of an UAV wing using Kriging based Multi-Objective Genetic Algorithm , 2009 .

[25]  Ilan Kroo,et al.  Framework for Aircraft Conceptual Design and Environmental Performance Studies , 2005 .

[26]  Fu Zhang,et al.  Modeling and Flight Control Simulation of a Quadrotor Tailsitter VTOL UAV , 2017 .

[27]  Joaquim R. R. A. Martins,et al.  Multidisciplinary design optimization: A survey of architectures , 2013 .

[28]  Lance W. Traub,et al.  Range and Endurance Estimates for Battery-Powered Aircraft , 2011 .

[29]  Clyde L. Monma,et al.  On the Computational Complexity of Integer Programming Problems , 1978 .

[30]  Jorge Nocedal,et al.  A trust region method based on interior point techniques for nonlinear programming , 2000, Math. Program..

[31]  Zexiang Li,et al.  Development and experimental verification of a hybrid vertical take-off and landing (VTOL) unmanned aerial vehicle(UAV) , 2017, 2017 International Conference on Unmanned Aircraft Systems (ICUAS).

[32]  Luigi Grippo,et al.  On the convergence of the block nonlinear Gauss-Seidel method under convex constraints , 2000, Oper. Res. Lett..

[33]  D. Kuchemann The Aerodynamic Design of Aircraft , 2010 .