메뉴 건너뛰기




Volumn , Issue , 2009, Pages 1-182

Computational Optimal Control: Tools and Practice

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; FLIGHT DYNAMICS; OPTIMAL CONTROL SYSTEMS; SOFTWARE TESTING;

EID: 77954880480     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470747674     Document Type: Book
Times cited : (38)

References (116)
  • 5
    • 0003787146 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Bellman R 1957 Dynamics Programming. Princeton University Press, Princeton, NJ.
    • (1957) Dynamics Programming
    • Bellman, R.1
  • 7
    • 21844506576 scopus 로고
    • Abort landing in windshear: Optimal control problem with third-order state constraint and varied switching structure
    • Berkmann P and Pesch HJ 1995 Abort landing in windshear: Optimal control problem with third-order state constraint and varied switching structure. Journal of Optimization Theory and Applications 85(1), 21-57.
    • (1995) Journal of Optimization Theory and Applications , vol.85 , Issue.1 , pp. 21-57
    • Berkmann, P.1    Pesch, H.J.2
  • 9
    • 0002160816 scopus 로고
    • Issues in the direct transcription of optimal control problems to sparse nonlinear programs
    • Bulirsch R and Kraft D, of International Series of Numerical Mathematics. Birkhäuser, Basel
    • Betts JT 1994a Issues in the direct transcription of optimal control problems to sparse nonlinear programs. In Computational Optimal Control (ed. Bulirsch R and Kraft D) vol. 115 of International Series of Numerical Mathematics. Birkhäuser, Basel, pp. 3-17.
    • (1994) Computational Optimal Control , vol.115 , pp. 3-17
    • Betts, J.T.1
  • 10
    • 0013689069 scopus 로고
    • Trajectory optimization using sparse sequential quadratic programming
    • Bulirsch R, Kraft D, Stoer J and Well KH, of International Series of Numerical Mathematics. Birkhäuser, Basel
    • Betts JT 1994b Trajectory optimization using sparse sequential quadratic programming. In Optimal Control: Calculus of Variations, Optimal Control Theory and Numerical Methods (ed. Bulirsch R, Kraft D, Stoer J and Well KH) vol. 111 of International Series of Numerical Mathematics. Birkhäuser, Basel, pp. 115-128.
    • (1994) Optimal Control: Calculus of Variations, Optimal Control Theory and Numerical Methods , vol.111 , pp. 115-128
    • Betts, J.T.1
  • 11
    • 0032021498 scopus 로고    scopus 로고
    • Survey of numerical methods for trajectory optimization
    • Betts JT 1998 Survey of numerical methods for trajectory optimization. Journal of Guidance, Control, and Dynamics 21(2), 193-207.
    • (1998) Journal of Guidance, Control, and Dynamics , vol.21 , Issue.2 , pp. 193-207
    • Betts, J.T.1
  • 14
    • 0026631885 scopus 로고
    • Application of sparse nonlinear programming to trajectory optimization
    • Betts JT and Huffman WP 1992 Application of sparse nonlinear programming to trajectory optimization. Journal of Guidance, Control, and Dynamics 15(1), 198-206.
    • (1992) Journal of Guidance, Control, and Dynamics , vol.15 , Issue.1 , pp. 198-206
    • Betts, J.T.1    Huffman, W.P.2
  • 15
    • 0027307996 scopus 로고
    • Path-constrained trajectory optimization using sparse sequential quadratic programming
    • Betts JT and Huffman WP 1993 Path-constrained trajectory optimization using sparse sequential quadratic programming. Journal of Guidance, Control, and Dynamics 16(1), 59-68.
    • (1993) Journal of Guidance, Control, and Dynamics , vol.16 , Issue.1 , pp. 59-68
    • Betts, J.T.1    Huffman, W.P.2
  • 16
    • 1542321061 scopus 로고    scopus 로고
    • Large scale parameter estimation using sparse nonlinear programming methods
    • Betts JT and Huffman WP 2003 Large scale parameter estimation using sparse nonlinear programming methods. SIAM Journal on Optimization 14(1), 223-244.
    • (2003) SIAM Journal on Optimization , vol.14 , Issue.1 , pp. 223-244
    • Betts, J.T.1    Huffman, W.P.2
  • 17
    • 0002564462 scopus 로고
    • A multiple-shooting algorithm for direct solution of optimal control problems
    • Budapest
    • Bock HG and Plitt KJ 1984 A multiple-shooting algorithm for direct solution of optimal control problems. Proceedings of the 9th IFAC World Congress, vol. IX. Budapest.
    • (1984) Proceedings of the 9th IFAC World Congress , vol.9
    • Bock, H.G.1    Plitt, K.J.2
  • 20
    • 3743155272 scopus 로고
    • Optimization and control of nonlinear systems using the second variation
    • Breakwell JV, Speyer JL and Bryson AE 1963 Optimization and control of nonlinear systems using the second variation. SIAM Journal on Control 1(2), 193-223.
    • (1963) SIAM Journal on Control , vol.1 , Issue.2 , pp. 193-223
    • Breakwell, J.V.1    Speyer, J.L.2    Bryson, A.E.3
  • 21
    • 0015960584 scopus 로고
    • A nonlinear programming approach to space shuttle trajectory optimization
    • Brusch R 1974 A nonlinear programming approach to space shuttle trajectory optimization. Journal of Optimization Theory and Applications 13, 94-118.
    • (1974) Journal of Optimization Theory and Applications , vol.13 , pp. 94-118
    • Brusch, R.1
  • 22
  • 23
    • 85024508370 scopus 로고
    • A steepest ascent method for solving optimum programming problems
    • Bryson AE and Denham WF 1962 A steepest ascent method for solving optimum programming problems. ASME Journal of Applied Mechanics 29, 247-257.
    • (1962) ASME Journal of Applied Mechanics , vol.29 , pp. 247-257
    • Bryson, A.E.1    Denham, W.F.2
  • 25
    • 85003393986 scopus 로고
    • Optimal programming problems with inequality constraints 1: Necessary conditions for extremal solutions
    • Bryson AE, Denham WF and Dreyfus SE 1963 Optimal programming problems with inequality constraints 1: Necessary conditions for extremal solutions. AIAA Journal 1(11), 2544-2550.
    • (1963) AIAA Journal , vol.1 , Issue.11 , pp. 2544-2550
    • Bryson, A.E.1    Denham, W.F.2    Dreyfus, S.E.3
  • 26
    • 0026185765 scopus 로고
    • Abort landing in the presence of windshear as a minimax optimal control problem, Part 1: Necessary conditions
    • Bulirsch R, Montrone F and Pesch HJ 1991a Abort landing in the presence of windshear as a minimax optimal control problem, Part 1: Necessary conditions. Journal of Optimization Theory and Applications 70(1), 1-23.
    • (1991) Journal of Optimization Theory and Applications , vol.70 , Issue.1 , pp. 1-23
    • Bulirsch, R.1    Montrone, F.2    Pesch, H.J.3
  • 27
    • 0026204534 scopus 로고
    • Abort landing in the presence of windshear as a minimax optimal control problem, Part 2: Multiple shooting and homotopy
    • Bulirsch R, Montrone F and Pesch HJ 1991b Abort landing in the presence of windshear as a minimax optimal control problem, Part 2: Multiple shooting and homotopy. Journal of Optimization Theory and Applications 70(2), 223-254.
    • (1991) Journal of Optimization Theory and Applications , vol.70 , Issue.2 , pp. 223-254
    • Bulirsch, R.1    Montrone, F.2    Pesch, H.J.3
  • 28
    • 35948964143 scopus 로고    scopus 로고
    • Lösung optimaler Steuerprozesse. Lösung adjungierter Variablen. Automatische Gitterpunktsanpassung, NUDOCCCS
    • Technical report, Westfälischen Wilhelms-Universität Münster
    • Büskens C 1996 Lösung optimaler Steuerprozesse. Lösung adjungierter Variablen. Automatische Gitterpunktsanpassung, NUDOCCCS. Technical report, Westfälischen Wilhelms-Universität Münster.
    • (1996)
    • Büskens, C.1
  • 29
    • 0034255101 scopus 로고    scopus 로고
    • SQP-methods for solving optimal control problems with control and state constraints: Adjoint variables, sensitivity analysis and real-time control
    • Büskens C and Maurer H 2000 SQP-methods for solving optimal control problems with control and state constraints: Adjoint variables, sensitivity analysis and real-time control. Journal of Computational and Applied Mathematics 120(1-2), 85-108.
    • (2000) Journal of Computational and Applied Mathematics , vol.120 , Issue.1-2 , pp. 85-108
    • Büskens, C.1    Maurer, H.2
  • 30
    • 77956012093 scopus 로고    scopus 로고
    • Solution of a hard flight path optimization problem by different optimization codes
    • Breuer M, Durst F and Zenger C). Springer, Berlin
    • Chudej K, Büskens C and Graf T 2001 Solution of a hard flight path optimization problem by different optimization codes. In High Performance Scientific and Engineering Computing (ed. Breuer M, Durst F and Zenger C). Springer, Berlin, pp. 289-296.
    • (2001) High Performance Scientific and Engineering Computing , pp. 289-296
    • Chudej, K.1    Büskens, C.2    Graf, T.3
  • 32
    • 0007463168 scopus 로고
    • Multiple shooting techniques revisited
    • Deuflhard P and Hairer E, of Progress in Scientific Computing. Birkhäuser, Boston
    • Deuflhard P and Bader G 1983 Multiple shooting techniques revisited. In Numerical Treatment of Inverse Problems in Differential and Integral Equations (ed. Deuflhard P and Hairer E), vol. 2 of Progress in Scientific Computing. Birkhäuser, Boston, pp. 74-94.
    • (1983) Numerical Treatment of Inverse Problems in Differential and Integral Equations , vol.2 , pp. 74-94
    • Deuflhard, P.1    Bader, G.2
  • 33
    • 0141937347 scopus 로고
    • A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques
    • Deuflhard P, Pesch HJ and Rentrop P 1976 A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques. Numerische Mathematik 26, 327-343.
    • (1976) Numerische Mathematik , vol.26 , pp. 327-343
    • Deuflhard, P.1    Pesch, H.J.2    Rentrop, P.3
  • 34
    • 3743107132 scopus 로고
    • Approximate solution of optimal control problems using third order Hermite polynomial functions
    • Springer, Berlin
    • Dickmanns ED and Well KH 1974 Approximate solution of optimal control problems using third order Hermite polynomial functions. Proceedings of the IFIP Technical Conference. Springer, Berlin, pp. 158-166.
    • (1974) Proceedings of the IFIP Technical Conference , pp. 158-166
    • Dickmanns, E.D.1    Well, K.H.2
  • 35
    • 35948976266 scopus 로고    scopus 로고
    • A continuation method for minimum time problems
    • Technical report, System Analysis Laboratory, Helsinki University of Technology
    • Ehtamo H, Raivio T and Hämäläinen RP 2000 A continuation method for minimum time problems. Technical report, System Analysis Laboratory, Helsinki University of Technology.
    • (2000)
    • Ehtamo, H.1    Raivio, T.2    Hämäläinen, R.P.3
  • 36
    • 0029394109 scopus 로고
    • The pseudospectral Legendre method for discretizing optimal control problems
    • Elnagar GN, Kazemi MA and Razzaghi M 1995 The pseudospectral Legendre method for discretizing optimal control problems. IEEE Transactions on Automatic Control 40(10), 1793-1796.
    • (1995) IEEE Transactions on Automatic Control , vol.40 , Issue.10 , pp. 1793-1796
    • Elnagar, G.N.1    Kazemi, M.A.2    Razzaghi, M.3
  • 37
    • 0031146526 scopus 로고    scopus 로고
    • A collocation-type method for linear quadratic optimal control problems
    • Elnagar GN and Razzaghi M 1997 A collocation-type method for linear quadratic optimal control problems. Optimal Control Applications & Methods 18(3), 227-235.
    • (1997) Optimal Control Applications & Methods , vol.18 , Issue.3 , pp. 227-235
    • Elnagar, G.N.1    Razzaghi, M.2
  • 38
    • 0031550746 scopus 로고    scopus 로고
    • State-control spectral Chebyshev parameterization for linearly constrained quadratic optimal control problems
    • Elnagar GN 1997 State-control spectral Chebyshev parameterization for linearly constrained quadratic optimal control problems. Journal of Computational and Applied Mathematics 79(1), 19-40.
    • (1997) Journal of Computational and Applied Mathematics , vol.79 , Issue.1 , pp. 19-40
    • Elnagar, G.N.1
  • 39
    • 0032206203 scopus 로고    scopus 로고
    • Pseudospectral Chebyshev optimal control of constrained nonlinear dynamical systems
    • Elnagar GN and Kazemi MA 1998 Pseudospectral Chebyshev optimal control of constrained nonlinear dynamical systems. Computational Optimization and Applications 11(2), 195-217.
    • (1998) Computational Optimization and Applications , vol.11 , Issue.2 , pp. 195-217
    • Elnagar, G.N.1    Kazemi, M.A.2
  • 41
    • 0026895308 scopus 로고
    • Discrete approximations to optimal trajectories using direct transcription and nonlinear programming
    • Enright PJ and Conway BA 1991a Discrete approximations to optimal trajectories using direct transcription and nonlinear programming. Journal of Guidance, Control, and Dynamics 15(4), 994-1002.
    • (1991) Journal of Guidance, Control, and Dynamics , vol.15 , Issue.4 , pp. 994-1002
    • Enright, P.J.1    Conway, B.A.2
  • 42
    • 0026222238 scopus 로고
    • Optimal finite-thrust spacecraft trajectories using collocation and nonlinear programming
    • Enright PJ and Conway BA 1991b Optimal finite-thrust spacecraft trajectories using collocation and nonlinear programming. Journal of Guidance, Control, and Dynamics 14(5), 981-985.
    • (1991) Journal of Guidance, Control, and Dynamics , vol.14 , Issue.5 , pp. 981-985
    • Enright, P.J.1    Conway, B.A.2
  • 47
    • 3142771344 scopus 로고
    • A solution of the Goddard problem
    • Garfinkel B 1963 A solution of the Goddard problem. SIAM Journal on Control 1(3), 349-368.
    • (1963) SIAM Journal on Control , vol.1 , Issue.3 , pp. 349-368
    • Garfinkel, B.1
  • 48
    • 33748503211 scopus 로고    scopus 로고
    • Optimal control and real-time optimization of mechanical multi-body systems
    • Gerdts M 2003 Optimal control and real-time optimization of mechanical multi-body systems. Zeitschrift für Angewandte Mathematik und Mechanik 83(10), 705-719.
    • (2003) Zeitschrift für Angewandte Mathematik und Mechanik , vol.83 , Issue.10 , pp. 705-719
    • Gerdts, M.1
  • 49
  • 50
    • 0008334456 scopus 로고
    • Large-scale SQP methods and their application in trajectory optimization
    • Bulirsch R and Kraft D, of International Series of Numerical Mathematics. Birkhäuser, Basel
    • Gill PE, Murray W and Saunders MA 1993 Large-scale SQP methods and their application in trajectory optimization. In Computational Optimal Control (ed. Bulirsch R and Kraft D) vol. 115 of International Series of Numerical Mathematics. Birkhäuser, Basel, pp. 29-42.
    • (1993) Computational Optimal Control , vol.115 , pp. 29-42
    • Gill, P.E.1    Murray, W.2    Saunders, M.A.3
  • 52
    • 0036433588 scopus 로고    scopus 로고
    • SNOPT: An SQP algorithm for large-scale constrained optimization
    • Gill PE, Murray W and Wright MH 2002 SNOPT: An SQP algorithm for large-scale constrained optimization. SIAM Journal on Optimization 12(4), 979-1006.
    • (2002) SIAM Journal on Optimization , vol.12 , Issue.4 , pp. 979-1006
    • Gill, P.E.1    Murray, W.2    Wright, M.H.3
  • 53
    • 0023826312 scopus 로고
    • Control parametrization: A unified approach to optimal control problems with general constraints
    • Goh CJ and Teo KL 1988 Control parametrization: A unified approach to optimal control problems with general constraints. Automatica 24(1), 3-18.
    • (1988) Automatica , vol.24 , Issue.1 , pp. 3-18
    • Goh, C.J.1    Teo, K.L.2
  • 55
    • 0023382928 scopus 로고
    • Direct trajectory optimization using nonlinear programming and collocation
    • Hargraves CR and Paris SW 1987 Direct trajectory optimization using nonlinear programming and collocation. Journal of Guidance, Control, and Dynamics 10(4), 338-342.
    • (1987) Journal of Guidance, Control, and Dynamics , vol.10 , Issue.4 , pp. 338-342
    • Hargraves, C.R.1    Paris, S.W.2
  • 56
    • 0029324375 scopus 로고
    • A survey of maximum principles for optimal control problems with state constraints
    • Hartl RF, Sethi SP and Vickson RG 1995 A survey of maximum principles for optimal control problems with state constraints. SIAM Review 37(2), 181-218.
    • (1995) SIAM Review , vol.37 , Issue.2 , pp. 181-218
    • Hartl, R.F.1    Sethi, S.P.2    Vickson, R.G.3
  • 57
    • 0030151161 scopus 로고    scopus 로고
    • Direct optimization using collocation based on higher-order Gauss-Lobatto quadrature rules
    • Herman AL and Conway BA 1996 Direct optimization using collocation based on higher-order Gauss-Lobatto quadrature rules. Journal of Guidance, Control, and Dynamics 19(3), 592-599.
    • (1996) Journal of Guidance, Control, and Dynamics , vol.19 , Issue.3 , pp. 592-599
    • Herman, A.L.1    Conway, B.A.2
  • 60
    • 0000794342 scopus 로고
    • New necessary conditions optimality for control problems with state-variable inequality constraints
    • Jacobson DH, Lele MM and Speyer JL 1971 New necessary conditions optimality for control problems with state-variable inequality constraints. Journal of Mathematical Analysis and Applications 35, 255-284.
    • (1971) Journal of Mathematical Analysis and Applications , vol.35 , pp. 255-284
    • Jacobson, D.H.1    Lele, M.M.2    Speyer, J.L.3
  • 61
    • 3342940542 scopus 로고    scopus 로고
    • Solution of nonlinear optimal control problem using Chebyshev polynomial
    • Seoul, Korea
    • Jaddu H and Shimemura E 1997 Solution of nonlinear optimal control problem using Chebyshev polynomial. Proceedings of the 2nd Asian Control Conference, Seoul, Korea, vol. 1, pp. 471-420.
    • (1997) Proceedings of the 2nd Asian Control Conference , vol.1 , pp. 471-420
    • Jaddu, H.1    Shimemura, E.2
  • 62
    • 0347811384 scopus 로고    scopus 로고
    • Computational methods based on the state parameterization for solving constrained optimal control problems
    • Jaddu H and Shimemura E 1999a Computational methods based on the state parameterization for solving constrained optimal control problems. International Journal of Systems Science 30(3), 275-282.
    • (1999) International Journal of Systems Science , vol.30 , Issue.3 , pp. 275-282
    • Jaddu, H.1    Shimemura, E.2
  • 63
    • 0032643287 scopus 로고    scopus 로고
    • Computation of optimal control trajectories using Chebyshev polynomials:Parametrization, and quadratic programming
    • Jaddu H and Shimemura E 1999b Computation of optimal control trajectories using Chebyshev polynomials:Parametrization, and quadratic programming. Optimal Control, Applications and Methods 20(1), 21-42.
    • (1999) Optimal Control, Applications and Methods , vol.20 , Issue.1 , pp. 21-42
    • Jaddu, H.1    Shimemura, E.2
  • 65
    • 0001907568 scopus 로고
    • Methods of gradients
    • Leitmann G, of Mathematics in Science and Engineering. Academic Press, New York
    • Kelley HJ 1962 Methods of gradients. In Optimization Techniques with Application to Aerospace Systems (ed. Leitmann G) vol. 5 of Mathematics in Science and Engineering. Academic Press, New York, pp. 206-254.
    • (1962) Optimization Techniques with Application to Aerospace Systems , vol.5 , pp. 206-254
    • Kelley, H.J.1
  • 67
    • 0000113389 scopus 로고
    • On converting optimal control problems into nonlinear programming problems
    • Schittkowski K, of NATO ASI Series. Series F:Computer and System Science. Springer, Berlin
    • Kraft D 1985 On converting optimal control problems into nonlinear programming problems. In Computational Mathematical Programming (ed. Schittkowski K), vol. 15 of NATO ASI Series. Series F:Computer and System Science. Springer, Berlin, pp. 261-280.
    • (1985) Computational Mathematical Programming , vol.15 , pp. 261-280
    • Kraft, D.1
  • 68
    • 0028513306 scopus 로고
    • Algoritm 733: TOMP-Fortran modules for optimal control calculations
    • Kraft D 1994 Algoritm 733: TOMP-Fortran modules for optimal control calculations. ACM Transactions on Mathematical Software 20(3), 262-281.
    • (1994) ACM Transactions on Mathematical Software , vol.20 , Issue.3 , pp. 262-281
    • Kraft, D.1
  • 70
    • 0020194839 scopus 로고
    • Additional necessary conditions for optimal control with state-variable inequality constraints
    • Kreindler E 1982 Additional necessary conditions for optimal control with state-variable inequality constraints. Journal of Optimization Theory and Applications 38(2), 241-250.
    • (1982) Journal of Optimization Theory and Applications , vol.38 , Issue.2 , pp. 241-250
    • Kreindler, E.1
  • 75
    • 0022693430 scopus 로고
    • Optimal control problems with multiple goal objective
    • Levary RR 1986 Optimal control problems with multiple goal objective. Optimal Control Applications & Methods 7(2), 201-207.
    • (1986) Optimal Control Applications & Methods , vol.7 , Issue.2 , pp. 201-207
    • Levary, R.R.1
  • 78
    • 0016598968 scopus 로고
    • Application of multiple shooting to the numerical solution of optimal control problems with bounded state variables
    • Maurer H and Gillessen W 1975 Application of multiple shooting to the numerical solution of optimal control problems with bounded state variables. Computing 15, 105-126.
    • (1975) Computing , vol.15 , pp. 105-126
    • Maurer, H.1    Gillessen, W.2
  • 82
    • 0024646179 scopus 로고
    • Real-time computation of feedback controls for constrained optimal control problems, Part 1: Neighboring extremals
    • Pesch HJ 1989a Real-time computation of feedback controls for constrained optimal control problems, Part 1: Neighboring extremals. Optimal Control Applications & Methods 10(2), 129-145.
    • (1989) Optimal Control Applications & Methods , vol.10 , Issue.2 , pp. 129-145
    • Pesch, H.J.1
  • 83
    • 0024648170 scopus 로고
    • Real-time computation of feedback controls for constrained optimal control problems, Part 2: A correction method based on multiple shooting
    • Pesch HJ 1989b Real-time computation of feedback controls for constrained optimal control problems, Part 2: A correction method based on multiple shooting. Optimal Control Applications & Methods 10(2), 147-171.
    • (1989) Optimal Control Applications & Methods , vol.10 , Issue.2 , pp. 147-171
    • Pesch, H.J.1
  • 84
    • 0002966473 scopus 로고
    • Offline and online computation of optimal trajectories in the aerospace field
    • Miele A and Salvetti A) Proceedings of a Meeting on Applied Mathematics in Aerospace Field. Plenum Press, New York
    • Pesch HJ 1991 Offline and online computation of optimal trajectories in the aerospace field. In Applied Mathematics in Aerospace Science and Engineering (ed. Miele A and Salvetti A) Proceedings of a Meeting on Applied Mathematics in Aerospace Field. Plenum Press, New York, pp. 165-220.
    • (1991) Applied Mathematics in Aerospace Science and Engineering , pp. 165-220
    • Pesch, H.J.1
  • 85
    • 0003227259 scopus 로고
    • A practical guide to the solution of real-life optimal control problems
    • Pesch HJ 1994 A practical guide to the solution of real-life optimal control problems. Control and Cybernetics 23(1 and 2), 7-60.
    • (1994) Control and Cybernetics , vol.23 , Issue.1-2 , pp. 7-60
    • Pesch, H.J.1
  • 87
    • 0028384810 scopus 로고
    • Strongly dynamically stable optimality principles in multicriteria optimal control problems
    • Petrosyan LA 1994 Strongly dynamically stable optimality principles in multicriteria optimal control problems. Journal of Computer Systems Sciences International 32(2), 146-150.
    • (1994) Journal of Computer Systems Sciences International , vol.32 , Issue.2 , pp. 146-150
    • Petrosyan, L.A.1
  • 89
    • 0032380706 scopus 로고    scopus 로고
    • Runge-Kutta based procedure for the optimal control of differential-algebraic equations
    • Pytlak R 1998 Runge-Kutta based procedure for the optimal control of differential-algebraic equations. Journal of Optimization Theory and Applications 97(3), 675-705.
    • (1998) Journal of Optimization Theory and Applications , vol.97 , Issue.3 , pp. 675-705
    • Pytlak, R.1
  • 94
    • 2642565670 scopus 로고    scopus 로고
    • Legendre pseudospectral approximations of optimal control problems
    • Wei Kang and Carlos Borges MX, of Lecture Notes in Control and Information Sciences. Springer, Heidelberg
    • Ross IM and Fahroo F 2004a Legendre pseudospectral approximations of optimal control problems In New Trends in Nonlinear Dynamics and Control and their Applications (ed. Wei Kang and Carlos Borges MX) vol. 295 of Lecture Notes in Control and Information Sciences. Springer, Heidelberg, pp. 327-343.
    • (2004) New Trends in Nonlinear Dynamics and Control and their Applications , vol.295 , pp. 327-343
    • Ross, I.M.1    Fahroo, F.2
  • 95
    • 2642529501 scopus 로고    scopus 로고
    • Pseudospectral knotting methods for solving optimal control problems
    • Ross IM and Fahroo F 2004b Pseudospectral knotting methods for solving optimal control problems. Journal of Guidance, Control, and Dynamics 27(3), 397-405.
    • (2004) Journal of Guidance, Control, and Dynamics , vol.27 , Issue.3 , pp. 397-405
    • Ross, I.M.1    Fahroo, F.2
  • 97
    • 0028425236 scopus 로고
    • Trajectory optimization based on differential inclusion
    • Seywald H 1994 Trajectory optimization based on differential inclusion. Journal of Guidance, Control, and Dynamics 17(3), 480-487.
    • (1994) Journal of Guidance, Control, and Dynamics , vol.17 , Issue.3 , pp. 480-487
    • Seywald, H.1
  • 100
    • 84989071106 scopus 로고
    • State parameterization approach to the solution of optimal control problems
    • Sirisena HR and Chou FS 1981 State parameterization approach to the solution of optimal control problems. Optimal Control Applications & Methods 2, 289-298.
    • (1981) Optimal Control Applications & Methods , vol.2 , pp. 289-298
    • Sirisena, H.R.1    Chou, F.S.2
  • 101
    • 0037305291 scopus 로고    scopus 로고
    • Optimal control of deployment of a tethered subsatellite
    • Steindl A and Troger H 2003 Optimal control of deployment of a tethered subsatellite. Nonlinear Dynamics 31(3), 257-274.
    • (2003) Nonlinear Dynamics , vol.31 , Issue.3 , pp. 257-274
    • Steindl, A.1    Troger, H.2
  • 103
    • 35948985902 scopus 로고    scopus 로고
    • Computational optimal control of the terminal bunt manoeuvre-Part 1: Minimum altitude case
    • Subchan S and Z˙bikowski R 2007a Computational optimal control of the terminal bunt manoeuvre-Part 1: Minimum altitude case. Optimal Control Applications & Methods 28(5), 311-353.
    • (2007) Optimal Control Applications & Methods , vol.28 , Issue.5 , pp. 311-353
    • Subchan, S.1    Zbikowski, R.2
  • 104
    • 35948995313 scopus 로고    scopus 로고
    • Computational optimal control of the terminal bunt manoeuvre-Part 2: Minimum-time case
    • Subchan S and Z˙bikowski R 2007b Computational optimal control of the terminal bunt manoeuvre-Part 2: Minimum-time case. Optimal Control Applications & Methods 28(5), 355-379.
    • (2007) Optimal Control Applications & Methods , vol.28 , Issue.5 , pp. 355-379
    • Subchan, S.1    Zbikowski, R.2
  • 106
    • 0031166541 scopus 로고    scopus 로고
    • 300 years of optimal control: From the brachystochrone to the maximum principle
    • Sussmann HJ and Willems JC 1997 300 years of optimal control: From the brachystochrone to the maximum principle. IEEE Control Systems Magazine 17(3), 32-44.
    • (1997) IEEE Control Systems Magazine , vol.17 , Issue.3 , pp. 32-44
    • Sussmann, H.J.1    Willems, J.C.2
  • 108
    • 85003323729 scopus 로고
    • Optimization of low-thrust interplanetary trajectories using collocation and nonlinear programming
    • Tang S and Conway BA 1995 Optimization of low-thrust interplanetary trajectories using collocation and nonlinear programming. Journal of Guidance, Control, and Dynamics 18(3), 599-604.
    • (1995) Journal of Guidance, Control, and Dynamics , vol.18 , Issue.3 , pp. 599-604
    • Tang, S.1    Conway, B.A.2
  • 113
    • 0001389315 scopus 로고
    • Numerical solution of optimal control problems by direct collocation
    • Bulirsch R, Miele A, Stoer J andWell K, of International Series of Numerical Mathematics. Birkhäuser, Basel
    • von Stryk O 1993 Numerical solution of optimal control problems by direct collocation. In Optimal Control, Calculus of Variations, Optimal Control Theory and Numerical Methods (ed. Bulirsch R, Miele A, Stoer J andWell K) vol. 111 of International Series of Numerical Mathematics. Birkhäuser, Basel, pp. 129-143.
    • (1993) Optimal Control, Calculus of Variations, Optimal Control Theory and Numerical Methods , vol.111 , pp. 129-143
    • von Stryk, O.1
  • 115
    • 0001307871 scopus 로고
    • Direct and indirect methods for trajectory optimization
    • von Stryk O and Bulirsch R 1992 Direct and indirect methods for trajectory optimization. Annals of Operations Research 37(1-4), 357-373.
    • (1992) Annals of Operations Research , vol.37 , Issue.1-4 , pp. 357-373
    • von Stryk, O.1    Bulirsch, R.2
  • 116
    • 0242640620 scopus 로고
    • Optimal control of the industrial robot Manutec r3
    • Bulirsch R and Kraft D, of International Series of Numerical Mathematics. Birkhäuser, Basel
    • von Stryk O and Schlemmer M 1994 Optimal control of the industrial robot Manutec r3. In Computational Optimal Control (ed. Bulirsch R and Kraft D) vol. 115 of International Series of Numerical Mathematics. Birkhäuser, Basel, pp. 367-382.
    • (1994) Computational Optimal Control , vol.115 , pp. 367-382
    • von Stryk, O.1    Schlemmer, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.