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Volumn 19, Issue 3, 1996, Pages 592-599

Direct optimization using collocation based on high-order Gauss-Lobatto quadrature rules

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; NONLINEAR PROGRAMMING; NUMERICAL METHODS; OPTIMAL CONTROL SYSTEMS; ORBITS; POLYNOMIALS; SPACECRAFT; VARIATIONAL TECHNIQUES; VECTORS;

EID: 0030151161     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/3.21662     Document Type: Article
Times cited : (351)

References (28)
  • 1
    • 0026222238 scopus 로고
    • Optimal Finite-Thrust Spacecraft Trajectories Using Collocation and Nonlinear Programming
    • Enright, P. J., and Conway, B. A., "Optimal Finite-Thrust Spacecraft Trajectories Using Collocation and Nonlinear Programming," Journal of Guidance, Control, and Dynamics, Vol. 14, No. 5, 1991, pp. 981-985.
    • (1991) Journal of Guidance, Control, and Dynamics , vol.14 , Issue.5 , pp. 981-985
    • Enright, P.J.1    Conway, B.A.2
  • 2
    • 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
  • 3
    • 0028546602 scopus 로고
    • Optimization of Very-Low-Thrust, Many-Revolution Spacecraft Trajectories
    • Scheel, W. A., and Conway, B. A., "Optimization of Very-Low-Thrust, Many-Revolution Spacecraft Trajectories," Journal of Guidance, Control, and Dynamics, Vol. 17, No. 6, 1994, pp. 1275-1282.
    • (1994) Journal of Guidance, Control, and Dynamics , vol.17 , Issue.6 , pp. 1275-1282
    • Scheel, W.A.1    Conway, B.A.2
  • 4
    • 0027629566 scopus 로고
    • Using Sparse Nonlinear Programming to Compute Low Thrust Orbit Transfers
    • Betts, J. T., "Using Sparse Nonlinear Programming to Compute Low Thrust Orbit Transfers," Journal of the Astronautical Sciences, Vol. 41, No. 3, 1993, pp. 349-371.
    • (1993) Journal of the Astronautical Sciences , vol.41 , Issue.3 , pp. 349-371
    • Betts, J.T.1
  • 5
    • 0028479324 scopus 로고
    • Optimal Interplanetary Orbit Transfers by Direct Transcription
    • Betts, J. T., "Optimal Interplanetary Orbit Transfers by Direct Transcription," Journal of the Astronautical Sciences, Vol. 42, No. 3, 1994, pp. 247-268.
    • (1994) Journal of the Astronautical Sciences , vol.42 , Issue.3 , pp. 247-268
    • Betts, J.T.1
  • 6
    • 0028549886 scopus 로고
    • Three-Stage Approach to Optimal Low-Thrust Earth-moon Trajectories
    • Pierson, B. L., and Kluever, C. A., "Three-Stage Approach to Optimal Low-Thrust Earth-moon Trajectories," Journal of Guidance, Control, and Dynamics, Vol. 17, No. 6, 1994, pp. 1185-1192.
    • (1994) Journal of Guidance, Control, and Dynamics , vol.17 , Issue.6 , pp. 1185-1192
    • Pierson, B.L.1    Kluever, C.A.2
  • 7
    • 85003323729 scopus 로고
    • Optimization of Low-Thrust Interplanetary Trajectories Using Direct Collocation and Nonlinear Programming
    • Tang, S., and Conway, B. A., "Optimization of Low-Thrust Interplanetary Trajectories Using Direct Collocation and Nonlinear Programming," Journal of Guidance, Control, and Dynamics, Vol. 18, No. 3, 1995, pp. 599-604.
    • (1995) Journal of Guidance, Control, and Dynamics , vol.18 , Issue.3 , pp. 599-604
    • Tang, S.1    Conway, B.A.2
  • 8
    • 85003331240 scopus 로고
    • Editorial Policy Statement on Numerical Accuracy and Experimental Uncertainty
    • Anon., "Editorial Policy Statement on Numerical Accuracy and Experimental Uncertainty," Journal of Guidance, Control, and Dynamics, Vol. 18, No. 1, 1995, p. 7.
    • (1995) Journal of Guidance, Control, and Dynamics , vol.18 , Issue.1 , pp. 7
  • 10
    • 0003448648 scopus 로고
    • Electrical Engineering Series, Prentice-Hall, Englewood Cliffs, NJ, Chap. 5
    • Kirk, D. E., Optimal Control Theory: An Introduction, Electrical Engineering Series, Prentice-Hall, Englewood Cliffs, NJ, 1970, Chap. 5.
    • (1970) Optimal Control Theory: An Introduction
    • Kirk, D.E.1
  • 11
    • 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
  • 12
    • 3743107132 scopus 로고
    • Approximate Solution of Optimal Control Problems Using Third-Order Hermite Polynomial Functions
    • International Federation for Information Processing - Technical Conf. 7, Springer-Verlag, New York
    • Dickmanns, E. D., and Well, K. H., "Approximate Solution of Optimal Control Problems Using Third-Order Hermite Polynomial Functions," Proceedings of the 6th Technical Conference on Optimization Techniques, International Federation for Information Processing - Technical Conf. 7, Springer-Verlag, New York, 1975.
    • (1975) Proceedings of the 6th Technical Conference on Optimization Techniques
    • Dickmanns, E.D.1    Well, K.H.2
  • 13
    • 0001622482 scopus 로고
    • A Collocation Method for Boundary Value Problems
    • Russell, R. D., and Shampine, L. F., "A Collocation Method for Boundary Value Problems," Numerical Mathematics, Vol. 19, 1972, pp. 1-28.
    • (1972) Numerical Mathematics , vol.19 , pp. 1-28
    • Russell, R.D.1    Shampine, L.F.2
  • 15
    • 0004242704 scopus 로고
    • translated by L. Schumaker, Springer-Verlag, New York, Chap. 7
    • Hammerlin, G., and Hoffmann, K.-H., Numerical Mathematics, translated by L. Schumaker, Springer-Verlag, New York, 1991, Chap. 7.
    • (1991) Numerical Mathematics
    • Hammerlin, G.1    Hoffmann, K.-H.2
  • 18
    • 0004078042 scopus 로고
    • McGraw-Hill, New York, Chaps. 7 and 8
    • ®, McGraw-Hill, New York, 1993, Chaps. 7 and 8.
    • (1993) ®
    • Skeel, R.D.1    Keiper, J.B.2
  • 19
    • 3743152461 scopus 로고
    • personal communication, March
    • Skeel, R. D., personal communication, March 1995.
    • (1995)
    • Skeel, R.D.1
  • 27
    • 3242874893 scopus 로고    scopus 로고
    • Optimal Low-Thrust Interception of Earth-Crossing Asteroids
    • Austin, TX, AAS Paper 96-195, Feb.
    • Conway, B. A., "Optimal Low-Thrust Interception of Earth-Crossing Asteroids," AAS/AIAA Space Flight Mechanics Meeting, Austin, TX, AAS Paper 96-195, Feb. 1996.
    • (1996) AAS/AIAA Space Flight Mechanics Meeting
    • Conway, B.A.1
  • 28
    • 0008223499 scopus 로고
    • Ph.D. Thesis, Dept. of Aeronautical and Astronautical Engineering, Univ. of Illinois, Urbana-Champaign, IL, Sept.
    • Herman, A. L., "Improved Collocation Methods Used for Direct Trajectory Optimization," Ph.D. Thesis, Dept. of Aeronautical and Astronautical Engineering, Univ. of Illinois, Urbana-Champaign, IL, Sept. 1995.
    • (1995) Improved Collocation Methods Used for Direct Trajectory Optimization
    • Herman, A.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.