Comparative evaluation of different optimization methodologies for the design of UAVs having shape obtained by hot wire cutting techniques

This paper describes an original application of heuristic optimization techniques to a complex multidisciplinary task. An unmanned aerial vehicle with a shape obtained by hot wire cutting techniques is designed for a typical civil mission, defining its geometry and aerodynamics with a particle swarm algorithm, a genetic algorithm and a Monte Carlo simulation. The tailless configuration of the vehicle requires an accurate design to satisfy all the requirements and obtain a low cost solution; only heuristic or semi-heuristic techniques can be applied because of the high non linearity of the problem and the large number of parameters to be defined. The three optimization methodologies have been applied to the problem, comparing their effectiveness on the basis of the computational weight. This study shows how the Rapid Prototyping techniques can be applied to the manufacturing of small lots of UAVs: the required optimal design is gained applying heuristic optimization techniques. The conclusions which can be drawn from this work confirm the suitability of optimization methods to non linear problems: genetic algorithms and particle swarm optimization provide similar results in term of fitness maximization, while Monte Carlo algorithm presents a lower efficiency. The easy implementation of the particle swarm optimization algorithm, compared to the more complex genetic algorithm, suggests how to use the former in optimization problems related to product design.

[1]  Karl Nickel,et al.  Tailless Aircraft in Theory and Practice , 1994 .

[2]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[3]  M. Sambridge,et al.  Monte Carlo analysis of inverse problems , 2002 .

[4]  D. Kaur,et al.  Performance enhancement in solving Traveling Salesman Problem using hybrid genetic algorithm , 2008, NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society.

[5]  C. J. Donlan,et al.  An Interim Report on the Stability and Control of Tailless Airplanes , 1944 .

[6]  Geoffrey Bower,et al.  MULTI-OBJECTIVE AIRCRAFT OPTIMIZATION FOR MINIMUM COST AND EMISSIONS OVER SPECIFIC ROUTE NETWORKS , 2008 .

[7]  Lei Zhang,et al.  Steering trapezoid mechanism design based on Monte Carlo method , 2011, Proceedings of 2011 International Conference on Electronic & Mechanical Engineering and Information Technology.

[8]  K Forbes,et al.  In theory and practice. , 1993, Clinical nurse specialist CNS.

[9]  J. Anderson,et al.  Fundamentals of Aerodynamics , 1984 .

[10]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[11]  Russell C. Eberhart,et al.  Particle swarm with extended memory for multiobjective optimization , 2003, Proceedings of the 2003 IEEE Swarm Intelligence Symposium. SIS'03 (Cat. No.03EX706).

[12]  Luis F. Gonzalez,et al.  Robust design optimisation using multi-objectiveevolutionary algorithms , 2008 .

[13]  S. Rahman Reliability Engineering and System Safety , 2011 .

[14]  Russell C. Eberhart,et al.  Parameter Selection in Particle Swarm Optimization , 1998, Evolutionary Programming.

[15]  E. Pastor,et al.  UAV Payload and Mission Control Hardware/Software Architecture , 2007, IEEE Aerospace and Electronic Systems Magazine.

[16]  Xinxin Hu,et al.  An improved particle swarm optimization algorithm for site index curve model , 2011, 2011 International Conference on Business Management and Electronic Information.

[17]  I. H. Abbott,et al.  Theory of Wing Sections: Including a Summary of Airfoil Data , 1959 .

[18]  David W. Coit,et al.  Multi-objective optimization using genetic algorithms: A tutorial , 2006, Reliab. Eng. Syst. Saf..

[19]  John R. Koza,et al.  Genetic programming - on the programming of computers by means of natural selection , 1993, Complex adaptive systems.

[20]  Robert C. Nelson,et al.  Flight Stability and Automatic Control , 1989 .

[21]  Plamen Angelov Fundamentals of Probability Theory , 2012 .

[22]  Leandro dos Santos Coelho,et al.  Tuning of PID controller based on a multiobjective genetic algorithm applied to a robotic manipulator , 2012, Expert Syst. Appl..

[23]  Ilan Kroo,et al.  A General Approach to Multiple Lifting Surface Design and Analysis , 1984 .

[24]  Guoqing Zhou,et al.  Civil UAV system for earth observation , 2007, 2007 IEEE International Geoscience and Remote Sensing Symposium.

[25]  Daniel P. Raymer,et al.  Aircraft Design: A Conceptual Approach and Rds-student, Software for Aircraft Design, Sizing, and Performance Set (AIAA Education) , 2006 .

[26]  Jay R. Lund,et al.  A Monte-Carlo game theoretic approach for Multi-Criteria Decision Making under uncertainty , 2011 .

[27]  J. Sobieszczanski-Sobieski,et al.  Multidisciplinary optimization of a transport aircraft wing using particle swarm optimization , 2004 .

[28]  Daniel P. Raymer,et al.  Aircraft Design: A Conceptual Approach , 1989 .

[29]  Eligius M. T. Hendrix,et al.  The smoothed Monte Carlo method in robustness optimization , 2008, Optim. Methods Softw..

[30]  Ilan Kroo,et al.  Multidisciplinary Considerations in the Design of Wings and Wing Tip Devices , 2010 .

[31]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[32]  Brian Birge,et al.  PSOt - a particle swarm optimization toolbox for use with Matlab , 2003, Proceedings of the 2003 IEEE Swarm Intelligence Symposium. SIS'03 (Cat. No.03EX706).

[33]  Ronald L. Wasserstein,et al.  Monte Carlo: Concepts, Algorithms, and Applications , 1997 .

[34]  N. J. Theron,et al.  Pitch Handling Qualities Investigation of the Tailless Gull-Wing Configuration , 2009 .

[35]  Giovanni Bernardini,et al.  Multi--Disciplinary Optimization for the Conceptual Design of Innovative Aircraft Configurations , 2006 .

[36]  Luis F. Gonzalez,et al.  Multidisciplinary Design Optimisation of Unmanned Aerial Vehicles (UAV) using Multi-Criteria Evolutionary Algorithms , 2005 .

[37]  Franco Persiani,et al.  Multiobjective wing design using genetic algorithms and fuzzy logic , 2004 .

[38]  Luisa M. Regueras,et al.  A genetic fuzzy expert system for automatic question classification in a competitive learning environment , 2012, Expert Syst. Appl..

[39]  Ba Broughton,et al.  Optimisation of the Sekwa blended-wing-Body research UAV , 2008 .

[40]  Peter Strobl,et al.  Monitoring of gas pipelines - a civil UAV application , 2005 .