Skip to main content
Erschienen in: Optimization and Engineering 1/2018

21.09.2017

Hypersonic flight vehicle trajectory optimization using pattern search algorithm

verfasst von: G. Naresh Kumar, Mohammad Ikram, A. K. Sarkar, S. E. Talole

Erschienen in: Optimization and Engineering | Ausgabe 1/2018

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this work, trajectory optimization of an aerodynamically controlled hypersonic boost glide class of flight vehicle is presented. In order to meet the mission constraints such as controllability, skin temperature, and terminal conditions etc., the trajectory is optimized using a pattern search algorithm with the lift to drag (L/D) ratio as a control parameter. It is brought out that the approach offers a viable tool for optimizing trajectories for the considered class of vehicles. Further, the effects of the constraints on trajectory shape and performance are studied and the analysis is used to bring out an optimal vehicle configuration at the initial stage of the design process itself. The research also reveals that the pattern search algorithm offers superior performance in comparison with the genetic algorithm for this class of optimization problem.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Abramson MA (2004) Mixed variable optimization of a load-bearing thermal insulation system using a filter pattern search algorithm. Optim Eng 5:157–177MathSciNetCrossRefMATH Abramson MA (2004) Mixed variable optimization of a load-bearing thermal insulation system using a filter pattern search algorithm. Optim Eng 5:157–177MathSciNetCrossRefMATH
Zurück zum Zitat Adimurthy V (1976) Launch vehicle trajectory optimization including rotational dynamics. AIAA J Spacecr Rockets 13(1):59–61CrossRef Adimurthy V (1976) Launch vehicle trajectory optimization including rotational dynamics. AIAA J Spacecr Rockets 13(1):59–61CrossRef
Zurück zum Zitat Adimurthy V (1987) Launch vehicle trajectory optimization. Acta Astronaut 15(11):845–850CrossRef Adimurthy V (1987) Launch vehicle trajectory optimization. Acta Astronaut 15(11):845–850CrossRef
Zurück zum Zitat Albarado K, Hartfield R, Hurston B, Jenkin R (2011) Solid rocket motor performance matching using pattern search-particle swarm optimization. 47th AIAA/ASME/SAE/ASEE joint propulsion conference and exhibit, San Diego, California, paper no AIAA-CP-2011-579 Albarado K, Hartfield R, Hurston B, Jenkin R (2011) Solid rocket motor performance matching using pattern search-particle swarm optimization. 47th AIAA/ASME/SAE/ASEE joint propulsion conference and exhibit, San Diego, California, paper no AIAA-CP-2011-579
Zurück zum Zitat Anderson JD (2011) Fundamentals of aerodynamics, 5th edn. Mc Graw-Hill series in aeronautical and aerospace engineering, McGraw-Hills, New York Anderson JD (2011) Fundamentals of aerodynamics, 5th edn. Mc Graw-Hill series in aeronautical and aerospace engineering, McGraw-Hills, New York
Zurück zum Zitat Ata A, Myo T (2005) Optimal point-to-point trajectory tracking of redundant manipulators using generalized pattern search. Int J Adv Rob Syst 2(3):239–244 Ata A, Myo T (2005) Optimal point-to-point trajectory tracking of redundant manipulators using generalized pattern search. Int J Adv Rob Syst 2(3):239–244
Zurück zum Zitat Ata A, Myo T (2006) Collision free trajectory planning for manipulators using generalized pattern search. Int J Simul Model 4:145–154CrossRef Ata A, Myo T (2006) Collision free trajectory planning for manipulators using generalized pattern search. Int J Simul Model 4:145–154CrossRef
Zurück zum Zitat Ata A, Myo T (2008) Optimal trajectory planning and obstacle avoidance for flexible manipulators using generalized pattern search. World J Model Simul 4(3):163–171 Ata A, Myo T (2008) Optimal trajectory planning and obstacle avoidance for flexible manipulators using generalized pattern search. World J Model Simul 4(3):163–171
Zurück zum Zitat Audet C (2014) A survey on direct search methods for blackbox optimization and their applications. Mathematics without boundaries. Springer, Berlin, pp 31–56MATH Audet C (2014) A survey on direct search methods for blackbox optimization and their applications. Mathematics without boundaries. Springer, Berlin, pp 31–56MATH
Zurück zum Zitat Basak R, Sanyal A, Nath SK, Goswami R (2013) Comparative view of genetic algorithm and pattern search for global optimization. Int J Eng Sci 3(4):9–12 Basak R, Sanyal A, Nath SK, Goswami R (2013) Comparative view of genetic algorithm and pattern search for global optimization. Int J Eng Sci 3(4):9–12
Zurück zum Zitat Conway BA (2010) Spacecraft trajectory optimization, vol 29. Cambridge University Press Conway BA (2010) Spacecraft trajectory optimization, vol 29. Cambridge University Press
Zurück zum Zitat Custódio AL, Emmerich M, Maderia JFA (2012) Recent developments in derivative-free multiobjective optimization. Comput Technol Rev 5:1–30CrossRef Custódio AL, Emmerich M, Maderia JFA (2012) Recent developments in derivative-free multiobjective optimization. Comput Technol Rev 5:1–30CrossRef
Zurück zum Zitat Dadarya S, Kumar GN (2013) Real time skin temperature prediction model for hypersonic flight vehicle. In: Proceedings of 6th symposium on applied aerodynamics and design of aerospace vehicles (SAROD 2013), Hyderabad, India, vol 1, pp 359–363 Dadarya S, Kumar GN (2013) Real time skin temperature prediction model for hypersonic flight vehicle. In: Proceedings of 6th symposium on applied aerodynamics and design of aerospace vehicles (SAROD 2013), Hyderabad, India, vol 1, pp 359–363
Zurück zum Zitat DuPont B, Cagan J (2016) A hybrid extended pattern search/genetic algorithm for multi-stage wind farm optimization. Optim Eng 17:77–103MathSciNetCrossRefMATH DuPont B, Cagan J (2016) A hybrid extended pattern search/genetic algorithm for multi-stage wind farm optimization. Optim Eng 17:77–103MathSciNetCrossRefMATH
Zurück zum Zitat Ebadi S, Forouraghi K, Sattarzadeh S (2005) Optimum low sidelobe level phased array antenna design using pattern search algorithms. Antennas and propagation society international symposium, IEEE conference, Washington DC vol 1B, no 3, pp 770–773 Ebadi S, Forouraghi K, Sattarzadeh S (2005) Optimum low sidelobe level phased array antenna design using pattern search algorithms. Antennas and propagation society international symposium, IEEE conference, Washington DC vol 1B, no 3, pp 770–773
Zurück zum Zitat ESDU (1969) Heat balance for flight vehicles. Tech. rep, item no. 69009 ESDU (1969) Heat balance for flight vehicles. Tech. rep, item no. 69009
Zurück zum Zitat Gallais P (2007) Atmospheric re-entry vehicle mechanics, 1st edn. Springer, Berlin Gallais P (2007) Atmospheric re-entry vehicle mechanics, 1st edn. Springer, Berlin
Zurück zum Zitat Gang C, Zi-Ming W, Min X, Si-Lu C (2005) Genetic algorithm optimization of RLV re-entry trajectory. In: Proceedings of AIAA/CIRA 13th international space planes and hypersonics systems and technologies conference, paper no AIAA 2005-3269 Gang C, Zi-Ming W, Min X, Si-Lu C (2005) Genetic algorithm optimization of RLV re-entry trajectory. In: Proceedings of AIAA/CIRA 13th international space planes and hypersonics systems and technologies conference, paper no AIAA 2005-3269
Zurück zum Zitat Gunes F, Tokan F (2010) Pattern search optimization with applications on synthesis of linear antenna arrays. Expert Syst Appl 37:4698–4705CrossRef Gunes F, Tokan F (2010) Pattern search optimization with applications on synthesis of linear antenna arrays. Expert Syst Appl 37:4698–4705CrossRef
Zurück zum Zitat Hart WE (2001) Evolutionary pattern search algorithms for unconstrained and linearly constrained optimization. IEEE Trans Evol Comput 5(4):388–397CrossRef Hart WE (2001) Evolutionary pattern search algorithms for unconstrained and linearly constrained optimization. IEEE Trans Evol Comput 5(4):388–397CrossRef
Zurück zum Zitat Hart WE, Hunter KO (1999) A performance analysis of evolutionary pattern search with generalized mutation steps. In: IEEE proceedings on evolutionary computation, Washington DC, vol 1, pp 672–679 Hart WE, Hunter KO (1999) A performance analysis of evolutionary pattern search with generalized mutation steps. In: IEEE proceedings on evolutionary computation, Washington DC, vol 1, pp 672–679
Zurück zum Zitat Hooke R, Jeeves T (1961) Direct search solution of numerical and statistical problems. J Assoc Comput Mach 8:212–229CrossRefMATH Hooke R, Jeeves T (1961) Direct search solution of numerical and statistical problems. J Assoc Comput Mach 8:212–229CrossRefMATH
Zurück zum Zitat Kokkolaras M, Audet C, Dennis JE (2001) Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system. Optim Eng 2(1):5–29MathSciNetCrossRefMATH Kokkolaras M, Audet C, Dennis JE (2001) Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system. Optim Eng 2(1):5–29MathSciNetCrossRefMATH
Zurück zum Zitat Lewis RM, Torczon V, Trosset MW (1998) Why pattern search works. Tech. rep. NASA CR-1998-208966, ICASE report no. 98-57 Lewis RM, Torczon V, Trosset MW (1998) Why pattern search works. Tech. rep. NASA CR-1998-208966, ICASE report no. 98-57
Zurück zum Zitat Li Y, Cui N, Rong S (2009) Trajectory optimization for hypersonic boost-glide missile considering aeroheating. Aircr Eng Aerosp Technol 81(1):3–13CrossRef Li Y, Cui N, Rong S (2009) Trajectory optimization for hypersonic boost-glide missile considering aeroheating. Aircr Eng Aerosp Technol 81(1):3–13CrossRef
Zurück zum Zitat Lisk D, Robinson T, Robinson D (2010) Multi-objective optimization of supersonic projectiles using evolutionary algorithms. 48th AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition, Orlando, Florida, paper no AIAA-2010-1500-CP Lisk D, Robinson T, Robinson D (2010) Multi-objective optimization of supersonic projectiles using evolutionary algorithms. 48th AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition, Orlando, Florida, paper no AIAA-2010-1500-CP
Zurück zum Zitat Liu L, Zhang X (2006) Generalized pattern search methods for linearly equality constrained optimization problems. Appl Math Comput 181(1):527–535MathSciNetMATH Liu L, Zhang X (2006) Generalized pattern search methods for linearly equality constrained optimization problems. Appl Math Comput 181(1):527–535MathSciNetMATH
Zurück zum Zitat MATLAB global optimization toolbox user’s guide (2015). The MathWorks, Inc., Natick, MA, USA MATLAB global optimization toolbox user’s guide (2015). The MathWorks, Inc., Natick, MA, USA
Zurück zum Zitat Naresh Kumar G, Sarkar AK, Mangrulkar KK, Talole SE (2017) Atmospheric vehicle trajectory optimization with minimum dynamic pressure constraint. Proc Inst Mech Eng, Part G: J Aerosp Eng 1–11. doi:10.1177/0954410017699436 Naresh Kumar G, Sarkar AK, Mangrulkar KK, Talole SE (2017) Atmospheric vehicle trajectory optimization with minimum dynamic pressure constraint. Proc Inst Mech Eng, Part G: J Aerosp Eng 1–11. doi:10.​1177/​0954410017699436​
Zurück zum Zitat Panneerselvam S, Theerthamalai P, Sarkar AK (1987) Computer aided aerodynamic design of missile configuration. Def Sci J 37(4):469–481CrossRef Panneerselvam S, Theerthamalai P, Sarkar AK (1987) Computer aided aerodynamic design of missile configuration. Def Sci J 37(4):469–481CrossRef
Zurück zum Zitat Phelps R, Krasnicki M, Rutenbar RA, Carley LR, Hellums JR (1999) Anaconda: robust synthesis of analog circuits via stochastic pattern search. In: Custom integrated circuits conference, IEEE, Proceedings of the Custom Integrated Circuits Conference. IEEE, pp 567–570 Phelps R, Krasnicki M, Rutenbar RA, Carley LR, Hellums JR (1999) Anaconda: robust synthesis of analog circuits via stochastic pattern search. In: Custom integrated circuits conference, IEEE, Proceedings of the Custom Integrated Circuits Conference. IEEE, pp 567–570
Zurück zum Zitat Prasanna H, Ghose D, Bhat M, Bhattacharya C, Umakant J (2005) Ascent phase trajectory optimization for a hypersonic vehicle using nonlinear programming. ICCSA 2005, LNCS 3483. Springer, Berlin Heidelberg, pp 548–557 Prasanna H, Ghose D, Bhat M, Bhattacharya C, Umakant J (2005) Ascent phase trajectory optimization for a hypersonic vehicle using nonlinear programming. ICCSA 2005, LNCS 3483. Springer, Berlin Heidelberg, pp 548–557
Zurück zum Zitat Quinn RD, Leslie G (1990) Real-time aerodynamic heating and surface temperature calculations for hypersonic flight simulation. Tech. rep, NASA technical memorandum, 4222 Quinn RD, Leslie G (1990) Real-time aerodynamic heating and surface temperature calculations for hypersonic flight simulation. Tech. rep, NASA technical memorandum, 4222
Zurück zum Zitat Quinn RD, Leslie G (2000) A method for calculating transient surface temperatures and surface heating rates for high-speed aircraft. Tech. rep. NASA TP-2000-209034 Quinn RD, Leslie G (2000) A method for calculating transient surface temperatures and surface heating rates for high-speed aircraft. Tech. rep. NASA TP-2000-209034
Zurück zum Zitat Rahimi A, Kumar KD, Alighanbari H (2013) Particle swarm optimization applied to spacecraft re-entry trajectory. J Guid Control Dyn 36(1):307–310. doi:10.2514/1.56387 CrossRef Rahimi A, Kumar KD, Alighanbari H (2013) Particle swarm optimization applied to spacecraft re-entry trajectory. J Guid Control Dyn 36(1):307–310. doi:10.​2514/​1.​56387 CrossRef
Zurück zum Zitat Ryan K (2011) Trajectory optimization and aerodynamic modelling of long range morphing projectiles. Thesis, Master of Science, University of Maryland, College Park Ryan K (2011) Trajectory optimization and aerodynamic modelling of long range morphing projectiles. Thesis, Master of Science, University of Maryland, College Park
Zurück zum Zitat Ryan K, Lewis M (2011) Trajectory optimization studies of long range morphing projectiles. AIAA atmospheric flight mechanics conference, College Park, Minnesota, paper no AIAA-99-3632-CP Ryan K, Lewis M (2011) Trajectory optimization studies of long range morphing projectiles. AIAA atmospheric flight mechanics conference, College Park, Minnesota, paper no AIAA-99-3632-CP
Zurück zum Zitat Sang-Young P (1998) Launch vehicle trajectories with a dynamic pressure constraint. J Guid Control Dyn 35(6):765–773 Sang-Young P (1998) Launch vehicle trajectories with a dynamic pressure constraint. J Guid Control Dyn 35(6):765–773
Zurück zum Zitat Sparkman B, Chrissis J, Gruber M, Abramson M (2008) Optimization of a scramjet fuel injection array: an application of mixed variable generalized pattern search with kriging surrogates. 12th AIAA/ISSMO multidisciplinary analysis and optimization conference, Victoria, British Columbia, Canada, paper no AIAA -CP-2008-586 Sparkman B, Chrissis J, Gruber M, Abramson M (2008) Optimization of a scramjet fuel injection array: an application of mixed variable generalized pattern search with kriging surrogates. 12th AIAA/ISSMO multidisciplinary analysis and optimization conference, Victoria, British Columbia, Canada, paper no AIAA -CP-2008-586
Zurück zum Zitat Timothy WL II, Kiyak ZJ (2014) Missile system design using a hybrid evolving swarm algorithm. IEEE Aerosp Conf 1:1–8 Timothy WL II, Kiyak ZJ (2014) Missile system design using a hybrid evolving swarm algorithm. IEEE Aerosp Conf 1:1–8
Zurück zum Zitat Torres R, Chaptal J, Bes C, Hiriart-Urruty J-B (2009) Multi-objective clean take-off flight paths for civil aircraft. 9th AIAA aviation technology, integration, and operations conference (ATIO) and aircraft noise and emissions reduction symposium (ANERS). AIAA-2009-6931 Torres R, Chaptal J, Bes C, Hiriart-Urruty J-B (2009) Multi-objective clean take-off flight paths for civil aircraft. 9th AIAA aviation technology, integration, and operations conference (ATIO) and aircraft noise and emissions reduction symposium (ANERS). AIAA-2009-6931
Zurück zum Zitat Torres R, Chaptal J, Bes C, Hiriart-Urruty J-B (2011) Optimal, environmentally friendly departure procedures for civil aircraft. J Aircr 48(1):11–22CrossRef Torres R, Chaptal J, Bes C, Hiriart-Urruty J-B (2011) Optimal, environmentally friendly departure procedures for civil aircraft. J Aircr 48(1):11–22CrossRef
Zurück zum Zitat Tu L, Yuan JP (2006) Re-entry trajectory optimization using direct collocation method and nonlinear programming. 57th international astronautical congress, international astronautical congress (IAF). 102514/6IAC-06-C1406, IAC-06-C1406. doi:10.2514/6.IAC-06-c1.4.06 Tu L, Yuan JP (2006) Re-entry trajectory optimization using direct collocation method and nonlinear programming. 57th international astronautical congress, international astronautical congress (IAF). 102514/6IAC-06-C1406, IAC-06-C1406. doi:10.​2514/​6.​IAC-06-c1.​4.​06
Zurück zum Zitat Wu T, Yang Y, Sun L, Shao H (2009) A heuristic iterated-subspace minimization method with pattern search for unconstrained optimization. Comput Math Appl 58(10):2051–2059MathSciNetCrossRefMATH Wu T, Yang Y, Sun L, Shao H (2009) A heuristic iterated-subspace minimization method with pattern search for unconstrained optimization. Comput Math Appl 58(10):2051–2059MathSciNetCrossRefMATH
Zurück zum Zitat Yokoyama N, Suzuki S (2003) Trajectory optimization via modified genetic algorithm. AIAA guidance, navigation and control conference and exhibit, Austin, Texas, Paper no AIAA 2003-5493 Yokoyama N, Suzuki S (2003) Trajectory optimization via modified genetic algorithm. AIAA guidance, navigation and control conference and exhibit, Austin, Texas, Paper no AIAA 2003-5493
Zurück zum Zitat Yokoyama N, Suzuki S (2005) Modified genetic algorithm for constrained trajectory optimization. J Guid Control Dyn 28(1):139–144CrossRef Yokoyama N, Suzuki S (2005) Modified genetic algorithm for constrained trajectory optimization. J Guid Control Dyn 28(1):139–144CrossRef
Zurück zum Zitat Yu-Bin Z, Si-Qi F, Hua-Cong L, Xiu-Hua Z (2006) A hybrid optimization based on linear programming and model-assisted pattern search method in PSC. 44th AIAA aerospace sciences meeting and exhibit, Reno, Nevada, paper no AIAA-CP-2006-1436 Yu-Bin Z, Si-Qi F, Hua-Cong L, Xiu-Hua Z (2006) A hybrid optimization based on linear programming and model-assisted pattern search method in PSC. 44th AIAA aerospace sciences meeting and exhibit, Reno, Nevada, paper no AIAA-CP-2006-1436
Zurück zum Zitat Zhang K, Chen W (2011) Re-entry vehicle constrained trajectory optimization. AIAA international space planes and hypersonic systems and technologies conference, San Francisco, California Zhang K, Chen W (2011) Re-entry vehicle constrained trajectory optimization. AIAA international space planes and hypersonic systems and technologies conference, San Francisco, California
Zurück zum Zitat Zhang M, Sun Y, Duan G, Wang G (2010) Re-entry trajectory optimization of hypersonic vehicle with minimum heat. In: Proceedings of the 8th world congress on intelligent control and automation, Jinan, China Zhang M, Sun Y, Duan G, Wang G (2010) Re-entry trajectory optimization of hypersonic vehicle with minimum heat. In: Proceedings of the 8th world congress on intelligent control and automation, Jinan, China
Zurück zum Zitat Zhang L, Sun M, Chen Z, Wang Z, Wang Y (2014) Receding horizon trajectory optimization with terminal impact specifications. Math Probl Eng 2014:1–8 Zhang L, Sun M, Chen Z, Wang Z, Wang Y (2014) Receding horizon trajectory optimization with terminal impact specifications. Math Probl Eng 2014:1–8
Metadaten
Titel
Hypersonic flight vehicle trajectory optimization using pattern search algorithm
verfasst von
G. Naresh Kumar
Mohammad Ikram
A. K. Sarkar
S. E. Talole
Publikationsdatum
21.09.2017
Verlag
Springer US
Erschienen in
Optimization and Engineering / Ausgabe 1/2018
Print ISSN: 1389-4420
Elektronische ISSN: 1573-2924
DOI
https://doi.org/10.1007/s11081-017-9367-0

Weitere Artikel der Ausgabe 1/2018

Optimization and Engineering 1/2018 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.