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Volumn 125, Issue 1-2, 2000, Pages 147-158

Compensating for order variation in mesh refinement for direct transcription methods

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; OPTIMIZATION; RUNGE KUTTA METHODS; THEOREM PROVING;

EID: 0034501604     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00465-9     Document Type: Article
Times cited : (30)

References (17)
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    • J.T. Betts, Trajectory optimization using sparse sequential quadratic programming, in: R. Bulirsch, A. Miele, J. Stoer, K.H. Well (Eds.), Optimal Control, International Series of Numerical Mathematics, Vol. 111, Birkhäuser Verlag, Basel, 1993, pp. 115-128.
    • (1993) Optimal Control, International Series of Numerical Mathematics , vol.111 , pp. 115-128
    • Betts, J.T.1
  • 2
    • 0002160816 scopus 로고
    • Issues in the direct transcription of optimal control problems to sparse nonlinear programs
    • R. Bulirsch, D. Kraft (Eds.), Birkhäuser Verlag, Basel
    • J.T. Betts, Issues in the direct transcription of optimal control problems to sparse nonlinear programs, in: R. Bulirsch, D. Kraft (Eds.), Computational Optimal Control, International Series of Numerical Mathematics, Vol. 115, Birkhäuser Verlag, Basel, 1994, pp. 3-18.
    • (1994) Computational Optimal Control, International Series of Numerical Mathematics , vol.115 , pp. 3-18
    • Betts, J.T.1
  • 4
    • 0028497415 scopus 로고
    • A sparse nonlinear optimization algorithm
    • J.T. Betts, P.D. Frank, A sparse nonlinear optimization algorithm, J. Optim. Theory Appl. 82 (1994) 519-541.
    • (1994) J. Optim. Theory Appl. , vol.82 , pp. 519-541
    • Betts, J.T.1    Frank, P.D.2
  • 5
    • 0026631885 scopus 로고
    • Application of sparse nonlinear programming to trajectory optimization
    • J.T. Betts, W.P. Huffman, Application of sparse nonlinear programming to trajectory optimization, AIAA J. Guidance Control Dyn. 15 (1992) 198-206.
    • (1992) AIAA J. Guidance Control Dyn. , vol.15 , pp. 198-206
    • Betts, J.T.1    Huffman, W.P.2
  • 6
    • 0027307996 scopus 로고
    • Path constrained trajectory optimization using sparse sequential quadratic programming
    • J.T. Betts, W.P. Huffman, Path constrained trajectory optimization using sparse sequential quadratic programming, AIAA J. Guidance Control Dyn. 16 (1993) 59-68.
    • (1993) AIAA J. Guidance Control Dyn. , vol.16 , pp. 59-68
    • Betts, J.T.1    Huffman, W.P.2
  • 8
    • 0031672836 scopus 로고    scopus 로고
    • Mesh refinement in direct transcription methods for optimal control
    • J.T. Betts, W.P. Huffman, Mesh refinement in direct transcription methods for optimal control, Optim. Control Appl. Methods 19 (1998) 1-21.
    • (1998) Optim. Control Appl. Methods , vol.19 , pp. 1-21
    • Betts, J.T.1    Huffman, W.P.2
  • 9
    • 0034250710 scopus 로고    scopus 로고
    • Some comments on dae theory for irk methods and trajectory optimization
    • N. Biehn, S. Campbell, L. Jay, T. Westbrook, Some comments on dae theory for irk methods and trajectory optimization, J. Comput. Appl. Math. 120 (2000) 109-131.
    • (2000) J. Comput. Appl. Math. , vol.120 , pp. 109-131
    • Biehn, N.1    Campbell, S.2    Jay, L.3    Westbrook, T.4
  • 12
    • 0343359706 scopus 로고
    • Efficient convergence and mesh refinement strategies for solving general ordinary two-point boundary value problems by collocated hermite approximation
    • Oberpfaffenhofen, September
    • E.D. Dickmanns, Efficient convergence and mesh refinement strategies for solving general ordinary two-point boundary value problems by collocated hermite approximation, 2nd IFAC Workshop on Optimisation, Oberpfaffenhofen, September 1980.
    • (1980) 2nd IFAC Workshop on Optimisation
    • Dickmanns, E.D.1
  • 13
    • 0026222238 scopus 로고
    • Optimal finite-thrust spacecraft trajectories using collocation and nonlinear programming
    • P.J. Enright, B.A. Conway, Optimal finite-thrust spacecraft trajectories using collocation and nonlinear programming, AIAA J. Guidance Control Dyn. 14 (1991) 981-985.
    • (1991) AIAA J. Guidance Control Dyn. , vol.14 , pp. 981-985
    • Enright, P.J.1    Conway, B.A.2
  • 14
    • 0023382928 scopus 로고
    • Direct trajectory optimization using nonlinear programming and collocation
    • C.R. Hargraves, S.W. Paris, Direct trajectory optimization using nonlinear programming and collocation, AIAA J. Guidance Control Dyn. 10 (1987) 338.
    • (1987) AIAA J. Guidance Control Dyn. , vol.10 , pp. 338
    • Hargraves, C.R.1    Paris, S.W.2
  • 15
    • 0000279884 scopus 로고
    • Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2
    • L. Jay, Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2, BIT 33 (1993) 137-150.
    • (1993) BIT , vol.33 , pp. 137-150
    • Jay, L.1
  • 16
    • 0000113389 scopus 로고
    • On converting optimal control problems into nonlinear programming problems
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    • (1985) NATO ASI Series , vol.F15 , pp. 261-280
    • Kraft, D.1
  • 17
    • 0001389315 scopus 로고
    • Numerical solution of optimal control problems by direct collocation
    • R. Bulirsch, A. Miele, J. Stoer, K.H. Well (Eds.), Birkhäuser Verlag, Basel
    • O. von Stryk, Numerical solution of optimal control problems by direct collocation, in: R. Bulirsch, A. Miele, J. Stoer, K.H. Well (Eds.), Optimal Control, International Series of Numerical Mathematics, Vol. 111, Birkhäuser Verlag, Basel, 1993, pp. 129-143.
    • (1993) Optimal Control, International Series of Numerical Mathematics , vol.111 , pp. 129-143
    • Von Stryk, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.