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Volumn 31, Issue 5, 2008, Pages 1424-1436

Trajectory optimization using multiresolution techniques

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; MULTIRESOLUTION ANALYSIS; OPTIMAL CONTROL SYSTEMS;

EID: 53349121945     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.32220     Document Type: Article
Times cited : (111)

References (51)
  • 2
    • 53349092263 scopus 로고
    • A Generalized Trajectory Simulation System
    • edited by J. B. Mankin, R. H. Gardner, and H. H. Shugart, AFIPS Press, Montvale, NJ, July
    • Meder, D. S., and McLaughlin, J. R., "A Generalized Trajectory Simulation System," Summer Computer Simulation Conference, edited by J. B. Mankin, R. H. Gardner, and H. H. Shugart, AFIPS Press, Montvale, NJ, July 1976, pp. 366-372.
    • (1976) Summer Computer Simulation Conference , pp. 366-372
    • Meder, D.S.1    McLaughlin, J.R.2
  • 3
    • 0023382928 scopus 로고
    • Direct Trajectory Optimization Using Nonlinear Programming and Collocation
    • Hargraves, C. R., and Paris, S. W., "Direct Trajectory Optimization Using Nonlinear Programming and Collocation," Journal of Guidance, Control, and Dynamics, Vol. 10, No. 4, 1987, pp. 338-342.
    • (1987) Journal of Guidance, Control, and Dynamics , vol.10 , Issue.4 , pp. 338-342
    • Hargraves, C.R.1    Paris, S.W.2
  • 4
    • 84894437200 scopus 로고    scopus 로고
    • Trajectory Optimization by Indirect Spectral Collocation Methods
    • AIAA, Reston, VA, Aug
    • Fahroo, F., and Ross, I., "Trajectory Optimization by Indirect Spectral Collocation Methods," AIAA/AAS Astrodynamics Specialist Conference, AIAA, Reston, VA, Aug. 2000, pp. 123-129.
    • (2000) AIAA/AAS Astrodynamics Specialist Conference , pp. 123-129
    • Fahroo, F.1    Ross, I.2
  • 5
    • 0003981931 scopus 로고
    • Inst. for Flight System Dynamics, DLR, German Aerospace Research Center, TR DLR IB/515-89/22, Oberpfaffenhofen, Germany
    • Oberle, H. J., and Grimm, W., "BNDSCO-A Program forthe Numerical Solution of Optimal Control Problems," Inst. for Flight System Dynamics, DLR, German Aerospace Research Center, TR DLR IB/515-89/22, Oberpfaffenhofen, Germany, 1989.
    • (1989) BNDSCO-A Program forthe Numerical Solution of Optimal Control Problems
    • Oberle, H.J.1    Grimm, W.2
  • 7
    • 0034501604 scopus 로고    scopus 로고
    • Compensating for Order Variation in Mesh Refinement for Direct Transcription Methods
    • Dec, doi:10.1016/S0377-0427(00)00465-9
    • Betts, J. T., Biehn, N., Campbell, S. L., and Huffman, W. P., "Compensating for Order Variation in Mesh Refinement for Direct Transcription Methods," Journal of Computational and Applied Mathematics, Vol. 125, Nos. 1-2, Dec. 2000, pp. 147-158. doi:10.1016/S0377-0427(00)00465-9
    • (2000) Journal of Computational and Applied Mathematics , vol.125 , Issue.1-2 , pp. 147-158
    • Betts, J.T.1    Biehn, N.2    Campbell, S.L.3    Huffman, W.P.4
  • 9
    • 0024648170 scopus 로고
    • Real-Time Computation of Feedback Controls for Constrained Optimal Control Problems, Part 2: A Correction Method Based on Multiple Shooting
    • doi:10.1002/oca.4660100206
    • Pesch, H. J., "Real-Time Computation of Feedback Controls for Constrained Optimal Control Problems, Part 2: A Correction Method Based on Multiple Shooting," Optimal Control Applications and Methods, Vol. 10, 1989, pp. 147-171. doi:10.1002/oca.4660100206
    • (1989) Optimal Control Applications and Methods , vol.10 , pp. 147-171
    • Pesch, H.J.1
  • 10
    • 0001307871 scopus 로고
    • Direct and Indirect Methods for Trajectory Optimization
    • Dec, doi:10.1007/BF02071065
    • Stryk, O. v., and Bulirsch, R., "Direct and Indirect Methods for Trajectory Optimization," Annals of Operations Research, Vol. 37, No. 1, Dec. 1992, pp. 357-373. doi:10.1007/BF02071065
    • (1992) Annals of Operations Research , vol.37 , Issue.1 , pp. 357-373
    • Stryk, O.V.1    Bulirsch, R.2
  • 11
    • 0032021498 scopus 로고    scopus 로고
    • Survey of Numerical Methods for Trajectory Optimization
    • Betts, J. T., "Survey of Numerical Methods for Trajectory Optimization," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 2, 1998, pp. 193-207.
    • (1998) Journal of Guidance, Control, and Dynamics , vol.21 , Issue.2 , pp. 193-207
    • Betts, J.T.1
  • 12
    • 0001651781 scopus 로고
    • An Historical Survey of Computational Methods in Optimal Control
    • doi:10.1137/1015071
    • Polak, E., "An Historical Survey of Computational Methods in Optimal Control," SIAM Review, Vol. 15, No. 2, 1973, pp. 553-584. doi:10.1137/1015071
    • (1973) SIAM Review , vol.15 , Issue.2 , pp. 553-584
    • Polak, E.1
  • 13
    • 0001687520 scopus 로고    scopus 로고
    • Time-Optimal Control of Axi-symmetric Spacecraft
    • Shen, H., and Tsiotras, P., "Time-Optimal Control of Axi-symmetric Spacecraft," Journal of Guidance, Control, and Dynamics. Vol. 22, No. 5, 1999, pp. 682-694.
    • (1999) Journal of Guidance, Control, and Dynamics , vol.22 , Issue.5 , pp. 682-694
    • Shen, H.1    Tsiotras, P.2
  • 14
    • 0002564462 scopus 로고
    • A Multiple Shooting Algorithm for Direct Solution of Optimal Control Problems
    • Pergamon, New York
    • Bock, H. G., and Plitt, K. J., "A Multiple Shooting Algorithm for Direct Solution of Optimal Control Problems," Proceedings of the Ninth Triennial World Congress of IFAC. Pergamon, New York, 1984, pp. 242-247.
    • (1984) Proceedings of the Ninth Triennial World Congress of IFAC , pp. 242-247
    • Bock, H.G.1    Plitt, K.J.2
  • 15
    • 0031672836 scopus 로고    scopus 로고
    • Betts, J. T., and Huffman, W. P., Mesh Refinement in Direct Transcription Methods for Optimal Control, Optimal Control Applications & Methods, 19, No. 1, 1998, pp. 1-21. doi:10.1002/(SICI)1099- 1514(199801/02)19:1<1::AID OCA616>3.0.CO;2-O
    • Betts, J. T., and Huffman, W. P., "Mesh Refinement in Direct Transcription Methods for Optimal Control," Optimal Control Applications & Methods, Vol. 19, No. 1, 1998, pp. 1-21. doi:10.1002/(SICI)1099- 1514(199801/02)19:1<1::AID OCA616>3.0.CO;2-O
  • 16
    • 0036154549 scopus 로고    scopus 로고
    • Direct Trajectory Optimization by a Chebyshev Pseudospectral Method
    • Fahroo, F., and Ross, I. M., "Direct Trajectory Optimization by a Chebyshev Pseudospectral Method," Journal of Guidance, Control, and Dynamics, Vol. 25, No. 1, 2002, pp. 160-166.
    • (2002) Journal of Guidance, Control, and Dynamics , vol.25 , Issue.1 , pp. 160-166
    • Fahroo, F.1    Ross, I.M.2
  • 17
    • 0030151161 scopus 로고    scopus 로고
    • Direct Optimization using Collocation Based on High-Order Gauss-Lobatto Quadrature Rules
    • Herman, A. L., and Conway, B. A., "Direct Optimization using Collocation Based on High-Order Gauss-Lobatto Quadrature Rules," Journal of Guidance, Control, and Dynamics, Vol. 19, No. 3, 1996, pp. 592-599.
    • (1996) Journal of Guidance, Control, and Dynamics , vol.19 , Issue.3 , pp. 592-599
    • Herman, A.L.1    Conway, B.A.2
  • 18
    • 0001622482 scopus 로고
    • A Collocation Method for Boundary Value Problems
    • doi:10.1007/BF01395926
    • Russell, R. D., and Shampine, L. F., "A Collocation Method for Boundary Value Problems," Numerische Mathematik, Vol. 19, No. 1, 1972, pp. 1-28. doi:10.1007/BF01395926
    • (1972) Numerische Mathematik , vol.19 , Issue.1 , pp. 1-28
    • Russell, R.D.1    Shampine, L.F.2
  • 19
    • 0013723684 scopus 로고
    • The Application of Implicit Runge-Kutta and Collocation Methods to Boundary Value Problems
    • doi:10.230772005918
    • Weiss, R., "The Application of Implicit Runge-Kutta and Collocation Methods to Boundary Value Problems," Mathematics of Computation, Vol. 28, No. 126, 1974, pp. 449-464. doi:10.230772005918
    • (1974) Mathematics of Computation , vol.28 , Issue.126 , pp. 449-464
    • Weiss, R.1
  • 20
    • 0029394109 scopus 로고
    • The Pseudospectral Legendre Method for Discretizing Optimal Control Problems
    • doi:10.1109/9.467672
    • Elnagar, G., Kazerni, M. A., and Razzaghi, M., "The Pseudospectral Legendre Method for Discretizing Optimal Control Problems," IEEE Transactions on Automatic Control, Vol. 40, No. 10, 1995. pp. 1793-1796. doi:10.1109/9.467672
    • (1995) IEEE Transactions on Automatic Control , vol.40 , Issue.10 , pp. 1793-1796
    • Elnagar, G.1    Kazerni, M.A.2    Razzaghi, M.3
  • 21
    • 0034165599 scopus 로고    scopus 로고
    • A Spectral Patching Method for Direct Trajectory Optimization
    • Fahroo, F., and Ross, I., "A Spectral Patching Method for Direct Trajectory Optimization," Journal of the Astronautical Sciences, Vol. 48, Nos. 2-3, 2000, pp. 269-286.
    • (2000) Journal of the Astronautical Sciences , vol.48 , Issue.2-3 , pp. 269-286
    • Fahroo, F.1    Ross, I.2
  • 22
    • 34247134571 scopus 로고    scopus 로고
    • Autonomous Pseudospectral Knotting Methods for Space Mission Optimization
    • American Astronautical Society Paper 06-151
    • Gong, Q., and Ross, I. M., "Autonomous Pseudospectral Knotting Methods for Space Mission Optimization," 16th AAS/AIAA Space Flight Mechanics Meeting, American Astronautical Society Paper 06-151, 2006.
    • (2006) 16th AAS/AIAA Space Flight Mechanics Meeting
    • Gong, Q.1    Ross, I.M.2
  • 23
    • 0026895308 scopus 로고
    • Discrete Approximations to Optimal Trajectories Using Direct Transcription and Nonlinear Programming
    • Enright, P. J., and Conway, B. A., "Discrete Approximations to Optimal Trajectories Using Direct Transcription and Nonlinear Programming," Journal of Guidance, Control, and Dynamics, Vol. 15, No. 4, 1992, pp. 994-1002.
    • (1992) Journal of Guidance, Control, and Dynamics , vol.15 , Issue.4 , pp. 994-1002
    • Enright, P.J.1    Conway, B.A.2
  • 24
    • 1542330037 scopus 로고    scopus 로고
    • Adaptive Grids for Trajectory Optimization by Pseudospectral Methods
    • AIAA, Reston, VA
    • Ross, I. M., Fahroo, F., and Strizzi, J., "Adaptive Grids for Trajectory Optimization by Pseudospectral Methods," AAS/AIAA Spaceflight Mechanics Conference, AIAA, Reston, VA, 2003, pp. 649-668.
    • (2003) AAS/AIAA Spaceflight Mechanics Conference , pp. 649-668
    • Ross, I.M.1    Fahroo, F.2    Strizzi, J.3
  • 25
    • 2642529501 scopus 로고    scopus 로고
    • Pseudospectral Knotting Methods for Solving Nonsmooth Optimal Control Problems
    • doi:10.2514/1.3426
    • Ross, I. M., and Fahroo, F., "Pseudospectral Knotting Methods for Solving Nonsmooth Optimal Control Problems," Journal of Guidance, Control, and Dynamics, Vol. 27, No. 3, 2004, pp. 397-405. doi:10.2514/1.3426
    • (2004) Journal of Guidance, Control, and Dynamics , vol.27 , Issue.3 , pp. 397-405
    • Ross, I.M.1    Fahroo, F.2
  • 26
    • 0034661994 scopus 로고    scopus 로고
    • Dynamic Optimization Using a Wavelet Based Adaptive Control Vector Parametrization Strategy
    • July, doi:10.1016/S0098-1354(00)00357-4
    • Binder, T., Cruse, A., Villar, C. A. C., and Marquardt, W., "Dynamic Optimization Using a Wavelet Based Adaptive Control Vector Parametrization Strategy," Computers and Chemical Engineering, Vol. 24, July 2000, pp. 1201-1207. doi:10.1016/S0098-1354(00)00357-4
    • (2000) Computers and Chemical Engineering , vol.24 , pp. 1201-1207
    • Binder, T.1    Cruse, A.2    Villar, C.A.C.3    Marquardt, W.4
  • 27
  • 28
    • 0003655223 scopus 로고    scopus 로고
    • Theory and Implementation of Numerical Methods Based on Runge-Kutta Integration for Solving Optimal Control Problems,
    • Ph.D. Thesis, Electrical Engineering and Computer Science, Univ. of California, Berkeley, Berkeley, CA
    • Schwartz, A. L., "Theory and Implementation of Numerical Methods Based on Runge-Kutta Integration for Solving Optimal Control Problems," Ph.D. Thesis, Electrical Engineering and Computer Science, Univ. of California, Berkeley, Berkeley, CA, 1996.
    • (1996)
    • Schwartz, A.L.1
  • 29
    • 39549087853 scopus 로고    scopus 로고
    • Adaptive Multiresolution Mesh Refinement for the Solution of Evolution PDEs
    • Inst. of Electrical and Electronics Engineers, Piscataway, NJ
    • Jain, S., Tsiotras, P., and Zhou, H.-M., "Adaptive Multiresolution Mesh Refinement for the Solution of Evolution PDEs," Proceedings of the 46th IEEE Conference on Decision and Control, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 2007, pp. 3525-3530.
    • (2007) Proceedings of the 46th IEEE Conference on Decision and Control , pp. 3525-3530
    • Jain, S.1    Tsiotras, P.2    Zhou, H.-M.3
  • 30
    • 85140869731 scopus 로고    scopus 로고
    • A Hierarchical Multiresolution Adaptive Mesh Refinement for the Solution of Evolution PDEs
    • submitted for publication
    • Jain, S., Tsiotras, P., and Zhou, H.-M., "A Hierarchical Multiresolution Adaptive Mesh Refinement for the Solution of Evolution PDEs," SIAM Journal on Scientific Computing (submitted for publication).
    • SIAM Journal on Scientific Computing
    • Jain, S.1    Tsiotras, P.2    Zhou, H.-M.3
  • 31
    • 0000917785 scopus 로고    scopus 로고
    • Multiresolution Representation of Data: A General Framework
    • doi:10.1137/0733060
    • Harten, A., "Multiresolution Representation of Data: A General Framework," SIAM Journal on Numerical Analysis, Vol. 33, No. 3, 1996, pp. 1205-1256. doi:10.1137/0733060
    • (1996) SIAM Journal on Numerical Analysis , vol.33 , Issue.3 , pp. 1205-1256
    • Harten, A.1
  • 32
    • 34249975165 scopus 로고
    • Symmetric Iterative Interpolation Processes
    • doi:10.1007/BF01889598
    • Deslauriers, G., and Dubuc, S., "Symmetric Iterative Interpolation Processes," Constructive Approximation, Vol. 5, No. 1, 1989, pp. 49-68. doi:10.1007/BF01889598
    • (1989) Constructive Approximation , vol.5 , Issue.1 , pp. 49-68
    • Deslauriers, G.1    Dubuc, S.2
  • 34
    • 9244261365 scopus 로고    scopus 로고
    • Numerical Analysis of Wavelet Methods
    • edited by D. N. Arnold, P. G. Ciarlet, P. L. Lions, and H. A. van der Vorst, Elsevier Science, Amsterdam
    • Cohen, A., "Numerical Analysis of Wavelet Methods," Studies in Mathematics and its Applications, Vol. 32, edited by D. N. Arnold, P. G. Ciarlet, P. L. Lions, and H. A. van der Vorst, Elsevier Science, Amsterdam, 2003.
    • (2003) Studies in Mathematics and its Applications , vol.32
    • Cohen, A.1
  • 36
    • 0024700097 scopus 로고
    • A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
    • doi:10.1109/34.192463
    • Mallat, S. G., "A Theory for Multiresolution Signal Decomposition: the Wavelet Representation," IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 11, No. 7, 1989, pp. 674-693. doi:10.1109/34.192463
    • (1989) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.11 , Issue.7 , pp. 674-693
    • Mallat, S.G.1
  • 37
    • 0001266815 scopus 로고
    • Adaptive Multiresolution Schemes for Shock Computations
    • doi:10.1006/jeph.1994.1199
    • Harten, A., "Adaptive Multiresolution Schemes for Shock Computations," Journal of Computational Physics, Vol. 115, No. 2, 1994, pp. 319-338. doi:10.1006/jeph.1994.1199
    • (1994) Journal of Computational Physics , vol.115 , Issue.2 , pp. 319-338
    • Harten, A.1
  • 38
    • 84968496738 scopus 로고
    • Implicit Runge-Kutta Processes
    • doi:10.2307/2003405
    • Butcher, J. C., "Implicit Runge-Kutta Processes," Mathematics of Computation, Vol. 18, No. 85, 1964, pp. 50-64. doi:10.2307/2003405
    • (1964) Mathematics of Computation , vol.18 , Issue.85 , pp. 50-64
    • Butcher, J.C.1
  • 39
    • 0034550013 scopus 로고    scopus 로고
    • Runge-Kutta Methods in Optimal Control and the Transformed Adjoint System
    • doi:10.1007/s002110000178
    • Hager, W. W., "Runge-Kutta Methods in Optimal Control and the Transformed Adjoint System," Numerische Mathematik, Vol. 87, No. 2, 2000, pp. 247-282. doi:10.1007/s002110000178
    • (2000) Numerische Mathematik , vol.87 , Issue.2 , pp. 247-282
    • Hager, W.W.1
  • 40
    • 0034453343 scopus 로고    scopus 로고
    • Second-Order Runge-Kutta Approximations in Control Constrained Optimal Control
    • doi:10.1137/S0036142999351765
    • Dontchev, A. L., Hager, W. W., and Veliov, V. M., "Second-Order Runge-Kutta Approximations in Control Constrained Optimal Control," SIAM Journal on Numerical Analysis, Vol. 38, No. 1, 2000, pp. 202-226. doi:10.1137/S0036142999351765
    • (2000) SIAM Journal on Numerical Analysis , vol.38 , Issue.1 , pp. 202-226
    • Dontchev, A.L.1    Hager, W.W.2    Veliov, V.M.3
  • 41
    • 0035605971 scopus 로고    scopus 로고
    • The Euler Approximation in State Constrained Optimal Control
    • doi:10.1090/S0025-5718-00-01184-4
    • Dontchev, A. L., and Hager, W. W., "The Euler Approximation in State Constrained Optimal Control," Mathematics of Computation, Vol. 70, No. 233, 2001, pp. 173-203. doi:10.1090/S0025-5718-00-01184-4
    • (2001) Mathematics of Computation , vol.70 , Issue.233 , pp. 173-203
    • Dontchev, A.L.1    Hager, W.W.2
  • 42
    • 0036449713 scopus 로고    scopus 로고
    • Convergence of Nonconvergent IRK Discretizations of Optimal Control Problems with State Inequality Constraints
    • doi:10.1137/S106482750038044
    • Betts, J. T., Biehn, N., and Campbell, S. L., "Convergence of Nonconvergent IRK Discretizations of Optimal Control Problems with State Inequality Constraints," SIAM Journal on Scientific Computing, Vol. 23, No. 6, 2002, pp. 1981-2007. doi:10.1137/S106482750038044
    • (2002) SIAM Journal on Scientific Computing , vol.23 , Issue.6 , pp. 1981-2007
    • Betts, J.T.1    Biehn, N.2    Campbell, S.L.3
  • 46
    • 0003363041 scopus 로고
    • A Practical Guide to Splines
    • Springer-Verlag, New York
    • De Boor, C., "A Practical Guide to Splines," Applied Mathematical Sciences, Vol. 27, Springer-Verlag, New York, 1978.
    • (1978) Applied Mathematical Sciences , vol.27
    • De Boor, C.1
  • 51
    • 0032681346 scopus 로고    scopus 로고
    • Rao, A. V., and Mease, K. D., Eigenvector Approximate Dichotomic Basis Method for Solving Hyper-Sensitive Optimal Control Problems, Optimal Control Applications and Methods, 20, No. 2, 1999, pp. 59-77 doi:10.1002/(SICI)10099-1514(199903/04)20:2<59::AID OCA646>3.0CO;2-8
    • Rao, A. V., and Mease, K. D., "Eigenvector Approximate Dichotomic Basis Method for Solving Hyper-Sensitive Optimal Control Problems," Optimal Control Applications and Methods, Vol. 20, No. 2, 1999, pp. 59-77 doi:10.1002/(SICI)10099-1514(199903/04)20:2<59::AID OCA646>3.0CO;2-8


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