Abstract
This chapter presents a method to determine fuel-optimal trajectories for satellite formation maneuver using low-thrust continuous propulsion.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Acikmese B, Scharf D, Hadaegh F, Murray E (2006) A convex guidance algorithm for formation reconfiguration. In: AIAA guidance, navigation, and control conference and exhibit, Keystone, CO, USA, Aug 2006. doi:10.2514/6.2006-6070
Benson DA, Huntington GT, Thorvaldsen TP, Rao AV (2006) Direct trajectory optimization and costate estimation via an orthogonal collocation method. J Guid Control Dyn 29(6):1435–1440. doi:10.2514/1.20478
Betts JT (1998) Survey of numerical methods for trajectory optimization. J Guid Control Dyn 21(2):193–207. doi:10.2514/2.4231
Betts JT (2001) Practical methods for optimal control using nonlinear programming. vol book, whole. Society for Industrial and Applied Mathematics Press, Philadelphia
Bollino K, Ross M, Doman D (2006) Optimal nonlinear feedback guidance for reentry vehicles. In: AIAA guidance, navigation, and control conference and exhibit, Keystone, CO, USA, Aug 2006
Campbell M (2002) Planning algorithm for large satellite clusters. In: AIAA guidance, navigation, and control conference and exhibit, Monterey, California, 2002
Cho H, Park S-Y, Park H-E, Choi K-H (2012) Analytic solution to optimal reconfigurations of satellite formation flying in circular orbit under J2 perturbation. IEEE Trans Aerosp Electron Syst 48(3):2180–2197. doi:10.1109/TAES.2012.6237587
Elnagar G, Kazemi MA, Razzaghi M (1995) The pseudospectral Legendre method for discretizing optimal control problems. IEEE Trans Autom Control 40(10):1793–1796. doi:10.1109/9.467672
Fahroo F, Ross IM (2001) Costate estimation by a Legendre pseudospectral method. J Guid Control Dyn 24(2):270–277. doi:10.2514/2.4709
Gurfil P (2005) Relative motion between elliptic orbits: generalized boundedness conditions and optimal formationkeeping. J Guid Control Dyn 28(4):761–767. doi:10.2514/1.9439
Holmström K, GöranAnders O, Edvall MM (2008) User’s guide for TOMLAB /SNOPT. Mälardalen University, Department of Mathematics and Physics, Västerås, Sweden
Hui Y, Ross IM, Alfriend KT (2007) Pseudospectral feedback control for three-axis magnetic attitude stabilization in elliptic orbits. J Guid Control Dyn 30(4):1107–1115. doi:10.2514/1.26591
Huntington GT, Rao AV (2005) Optimal configuration of spacecraft formations via a gauss pseudospectral method. Adv Astronaut Sci 120(I):33–50
Huntington GT, Rao AV (2008) Optimal reconfiguration of spacecraft formations using the gauss pseudospectral method. J Guid Control Dyn 31(3):689–698. doi:10.2514/1.31083
Huntington G, Benson D, Rao A (2007a) A comparison of accuracy and computational efficiency of three pseudospectral methods. In: AIAA guidance, navigation, and control conference and exhibit, Hilton Head, South Carolina, 20–23 Aug 2007
Huntington GT, Benson D, Rao AV (2007b) Optimal configuration of tetrahedral spacecraft formations. J Astronaut Sci 55(2):141–169. doi:10.1007/BF03256518
Infeld S, Josselyn S, Murray W, Ross I (2004) Design and control of libration point spacecraft formations. In: AIAA guidance, navigation, and control conference and exhibit, Providence, RI, USA, Aug 2004
Jifuku R, Ichikawa A, Bando M (2011) Optimal pulse strategies for relative orbit transfer along a circular orbit. J Guid Control Dyn 34(5):1329–1341. doi:10.2514/1.51230
Lee S, Park SY (2011) Approximate analytical solutions to optimal reconfiguration problems in perturbed satellite relative motion. J Guid Control Dyn 34(4):1097–1111. doi:10.2514/1.52283
Li J, Xi X (2012) Fuel-optimal low-thrust reconfiguration of formation-flying satellites via homotopic approach. J Guid Control Dyn 35(6):1709–1717. doi:10.2514/1.57354
Mauro M, Franco B (2006) Optimization of low-thrust trajectories for formation flying with parallel multiple shooting. In: AIAA/AAS astrodynamics specialist conference and exhibit, Keystone, CO, USA, Aug 2006
Pencil EJ, Kamhawi H, Arrington LA (2004) Overview of NASA’s pulsed plasma thruster development program. In: AIAA/ASME/SAE/ASEE joint propulsion conference and exhibit, Fort Lauderdale, FL, USA, July 2004
Petit N, Milam M, Murray R (2001) Constrained trajectory generation for micro-satellite formation flying. In: AIAA guidance, navigation, and control conference and exhibit, Montreal, Canada, Aug 2001
Pillet N, Bousquet P, Chesta E, Cledassou R, Delpech M, Hinglais E, Sire JP (2006) Propulsion options for preliminary formation flying missions studies at CNES. In: AIAA/ASME/SAE/ASEE 42nd joint propulsion conference, Sacramento, CA, USA, July 2006
Polzin KA (2011) Comprehensive review of planar pulsed inductive plasma thruster research and technology. J Propul Power 27(3):513–531. doi:10.2514/1.B34188
Qi G, Kang W, Ross IM (2006) A pseudospectral method for the optimal control of constrained feedback linearizable systems. IEEE Trans Autom Control 51(7):1115–1129. doi:10.1109/TAC.2006.878570
Rao A, Clarke K (2002) Performance optimization of a maneuvering re-entry vehicle using a legendre pseudospectral method. In: AIAA atmospheric flight mechanics conference, Monterey, CA, USA, Aug 2002
Rea J (2003) Launch vehicle trajectory optimization using a legendre pseudospectral method. In: AIAA guidance, navigation, and control conference and exhibit, Austin, TE, USA, Aug 2003
Richards A, Schouwenaars T, How JP, Feron E (2002) Spacecraft trajectory planning with avoidance constraints using mixed-integer linear programming. J Guid Control Dyn 25(4):755–764. doi:10.2514/2.4943
Ross I, King J, Fahroo F (2002) Designing optimal spacecraft formations. In: AAS/AIAA Astrodynamics specialist conference, Monterey, CA, USA, Aug 2002
Ross I, D’Souza C, Fahroo F, Ross J (2003) A fast approach to multi-stage launch vehicle trajectory optimization. In: AIAA guidance, navigation, and control conference and exhibit, Austin, TE, USA, Aug 2003. doi:10.2514/6.2003-5639
Sabol C, Burns R, McLaughlin CA (2001) Satellite formation flying design and evolution. J Spacecraft Rock 38(2):270–278. doi:10.2514/2.3681
Schaub H, Alfriend KT (2001) Impulsive feedback control to establish specific mean orbit elements of spacecraft formations. J Guid Control Dyn 24(4):739–745. doi:10.2514/2.4774
Stanton SA, Proulx R (2003) Optimal orbital transfer using a legendre pseudospectral method. In: AAS/AIAA astrodynamics specialist conference, Big Sky, MO, USA, Aug 2003
Thevenet J-B, Epenoy R (2008) Minimum-fuel deployment for spacecraft formations via optimal control. J Guid Control Dyn 31(1):101–113. doi:10.2514/1.30364
Tillerson M, Inalhan G, How JP (2002) Coordination and control of distributed spacecraft systems using convex optimization techniques. Int J Robust Nonlinear Control 12(2–3):207–242
Vaddi SS, Alfriend KT, Vadali SR, Sengupta P (2005) Formation establishment and reconfiguration using impulsive control. J Guid Control Dyn 28(2):262–268. doi:10.2514/1.6687
Wu B, Wang D, Poh EK, Xu G (2009) Nonlinear optimization of low-thrust trajectory for satellite formation: legendre pseudospectral approach. J Guid Control Dyn 32(4):1371–1381. doi:10.2514/1.37675
Wu BL, Wang DW, Poh EK (2011) Energy-optimal low-thrust satellite formation manoeuvre in presence of J2 perturbation. Proc Inst Mech Eng J Aerosp Eng 225(9):961–968
Xu GG, Wang DW (2008) Dynamic models of satellite relative motion around an oblate earth. In: AAS/AIAA space flight mechanics meeting, AAS-08-208, Galveston, Texas, 27–31 Jan 2008, pp 1633–1648
Zanon DJ, Campbell ME (2006) Optimal planner for spacecraft formations in elliptical orbits. J Guid Control Dyn 29(1):161–171. doi:10.2514/1.7236
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer Science+Business Media Singapore
About this chapter
Cite this chapter
Wang, D., Wu, B., Poh, E.K. (2017). Nonlinear Optimization of Low-Thrust Trajectory for Satellite Formation. In: Satellite Formation Flying. Intelligent Systems, Control and Automation: Science and Engineering, vol 87. Springer, Singapore. https://doi.org/10.1007/978-981-10-2383-5_4
Download citation
DOI: https://doi.org/10.1007/978-981-10-2383-5_4
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-2382-8
Online ISBN: 978-981-10-2383-5
eBook Packages: EngineeringEngineering (R0)