메뉴 건너뛰기




Volumn 9, Issue 2, 2003, Pages 155-199

Optimal control with state constraints and the space shuttle re-entry problem

Author keywords

Control of the atmospheric arc; Minimum principle; Multiple shooting techniques; Optimal control with state constraints

Indexed keywords

ACCELERATION; CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; HEAT FLUX; MATHEMATICAL MODELS; REENTRY; SPACE SHUTTLES;

EID: 0038641995     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023289721398     Document Type: Article
Times cited : (47)

References (30)
  • 2
    • 0031678073 scopus 로고    scopus 로고
    • On abnormal extremals for Lagrange variational problems
    • A. Agrachev and A. Sarychev, On abnormal extremals for Lagrange variational problems. J. Math. Systems, Estimation, Control 8 (1998), No. 1, 87-118.
    • (1998) J. Math. Systems, Estimation, Control , vol.8 , Issue.1 , pp. 87-118
    • Agrachev, A.1    Sarychev, A.2
  • 4
    • 0038127324 scopus 로고    scopus 로고
    • Optimal control of the atmospheric arc of a space shuttle and numerical simulations by multiple shooting technique
    • B. Bonnard, L. Faubourg, G. Launay, and E. Trélat, Optimal control of the atmospheric arc of a space shuttle and numerical simulations by multiple shooting technique. (to appear in J. Optim. Theory Appl.).
    • J. Optim. Theory Appl.
    • Bonnard, B.1    Faubourg, L.2    Launay, G.3    Trélat, E.4
  • 5
    • 84955868449 scopus 로고
    • Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal
    • B. Bonnard and I. Kupka, Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal. Forum Math. 5 (1993), No. 2, 111-159.
    • (1993) Forum Math. , vol.5 , Issue.2 , pp. 111-159
    • Bonnard, B.1    Kupka, I.2
  • 6
    • 0037789686 scopus 로고    scopus 로고
    • Classification générique de synthèses temps minimales avec cible de codimension un et applications
    • B. Bonnard, G. Launay, and M. Pelletier, Classification générique de synthèses temps minimales avec cible de codimension un et applications. Ann. Inst. H. Poincaré Anal. Non Linéaire 14 (1997), No. 1, 55-102.
    • (1997) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.14 , Issue.1 , pp. 55-102
    • Bonnard, B.1    Launay, G.2    Pelletier, M.3
  • 7
    • 0037000223 scopus 로고    scopus 로고
    • Une approche géométrique du contrôle optimal de l'arc atmosphérique de la navette spatiale
    • (electronic)
    • B. Bonnard and E. Trélat, Une approche géométrique du contrôle optimal de l'arc atmosphérique de la navette spatiale. ESAIM Control Optim. Calc. Var. 7 (2002), 179-222 (electronic).
    • (2002) ESAIM Control Optim. Calc. Var. , vol.7 , pp. 179-222
    • Bonnard, B.1    Trélat, E.2
  • 8
    • 0022674191 scopus 로고
    • The generic local time-optimal stabilizing controls in dimension 3
    • A. Bressan, The generic local time-optimal stabilizing controls in dimension 3. SIAM J. Control Optim. 24 (1986), No. 2, 177-190.
    • (1986) SIAM J. Control Optim. , vol.24 , Issue.2 , pp. 177-190
    • Bressan, A.1
  • 9
    • 0031673673 scopus 로고    scopus 로고
    • A generic classification of time-optimal planar stabilizing feedbacks
    • A. Bressan and B. Piccoli, A generic classification of time-optimal planar stabilizing feedbacks. SIAM J. Control Optim. 36 (1998), No. 1, 12-32.
    • (1998) SIAM J. Control Optim. , vol.36 , Issue.1 , pp. 12-32
    • Bressan, A.1    Piccoli, B.2
  • 10
    • 0038804277 scopus 로고
    • Applied optimal control
    • Hemisphere Publishing Corp. Washington, D. C.; Revised printing
    • A. E. Bryson (Jr.) and Yu Chi Ho, Applied optimal control. Hemisphere Publishing Corp. Washington, D. C. (1975). Optimization, estimation, and control. Revised printing.
    • (1975) Optimization, Estimation, and Control
    • Bryson A.E., Jr.1    Ho, Y.C.2
  • 12
    • 0038466425 scopus 로고
    • Mécanique spatiale
    • Mécanique spatiale. Cepadues Eds (1995).
    • (1995) Cepadues Eds
  • 13
    • 4243741106 scopus 로고    scopus 로고
    • Guidage en rentrée atmosphérique
    • Rapport 415 CNES, Octobre
    • J. M. Coron and L. Praly, Guidage en rentrée atmosphérique. Rapport 415 CNES, Octobre 2000.
    • (2000)
    • Coron, J.M.1    Praly, L.2
  • 16
    • 0000794342 scopus 로고
    • New necessary conditions of optimality for control problems with state-variable inequality constraints
    • D. H. Jacobson, M. M. Lele, and J. L. Speyer, New necessary conditions of optimality for control problems with state-variable inequality constraints. J. Math. Anal. Appl. 35 (1971), 255-284.
    • (1971) J. Math. Anal. Appl. , vol.35 , pp. 255-284
    • Jacobson, D.H.1    Lele, M.M.2    Speyer, J.L.3
  • 17
    • 12344288097 scopus 로고
    • Numerische Lösung von Mehrpunkt-Randwertproblemen und Aufgaben der optimalen Steuerung mit Steuerfunktionen über endlichdimensionalen Räumen
    • Dissertation, Fakultät für Mathematik und Informatik, Technische Universität München
    • P. Hiltmann, Numerische Lösung von Mehrpunkt-Randwertproblemen und Aufgaben der optimalen Steuerung mit Steuerfunktionen über endlichdimensionalen Räumen. Dissertation, Fakultät für Mathematik und Informatik, Technische Universität München (1990).
    • (1990)
    • Hiltmann, P.1
  • 18
    • 0024478824 scopus 로고
    • The structure of small-time reachable sets in low dimensions
    • A. J. Krener and H. Schättler, The structure of small-time reachable sets in low dimensions. SIAM J. Control Optim. 27 (1989), No. 1, 120-147.
    • (1989) SIAM J. Control Optim. , vol.27 , Issue.1 , pp. 120-147
    • Krener, A.J.1    Schättler, H.2
  • 19
    • 0001706435 scopus 로고
    • On optimal control problems with bounded state variables and control appearing linearly
    • H. Maurer, On optimal control problems with bounded state variables and control appearing linearly. SIAM J. Control Optim. 15 (1977), No. 3, 345-362.
    • (1977) SIAM J. Control Optim. , vol.15 , Issue.3 , pp. 345-362
    • Maurer, H.1
  • 20
    • 0030134945 scopus 로고    scopus 로고
    • Recent advances in the optimization and guidance of aeroassociated orbital transfers
    • A. Miele, Recent advances in the optimization and guidance of aeroassociated orbital transfers. Acta Astronautica 38 (1996), No. 10, 747-768.
    • (1996) Acta Astronautica , vol.38 , Issue.10 , pp. 747-768
    • Miele, A.1
  • 21
    • 0003227259 scopus 로고
    • A practical guide to the solution of real-life optimal control problems
    • H. J. Pesch, A practical guide to the solution of real-life optimal control problems. Control and Cybernet. 23 (1994), Nos. 1/2.
    • (1994) Control and Cybernet. , vol.23 , Issue.1-2
    • Pesch, H.J.1
  • 22
    • 0030289481 scopus 로고    scopus 로고
    • Classification of generic singularities for the planar time-optimal synthesis
    • B. Piccoli, Classification of generic singularities for the planar time-optimal synthesis. SIAM J. Control Optim. 34 (1996), No. 6, 1914-1946.
    • (1996) SIAM J. Control Optim. , vol.34 , Issue.6 , pp. 1914-1946
    • Piccoli, B.1
  • 24
    • 84956270081 scopus 로고
    • The index of the second variation of a control system
    • A. Sarychev, The index of the second variation of a control system. Math. USSR Sb. 41 (1982), No. 3, 338-401.
    • (1982) Math. USSR Sb. , vol.41 , Issue.3 , pp. 338-401
    • Sarychev, A.1
  • 25
    • 0024036664 scopus 로고
    • The local structure of time optimal trajectories in dimension 3
    • H. Schättler, The local structure of time optimal trajectories in dimension 3. SIAM J. Control Optim. 26 (1988), No. 4, 899-918.
    • (1988) SIAM J. Control Optim. , vol.26 , Issue.4 , pp. 899-918
    • Schättler, H.1
  • 28
    • 0024914645 scopus 로고
    • Envelopes, high-order optimality conditions and Lie brackets
    • ____, Envelopes, high-order optimality conditions and Lie brackets. In: Proc. 28th IEEE Conf. Decision and Control, Vols. 1-3 (1989), 1107-1112.
    • (1989) Proc. 28th IEEE Conf. Decision and Control , vol.1-3 , pp. 1107-1112
    • Sussmann, H.J.1
  • 29
    • 0001222585 scopus 로고    scopus 로고
    • Some properties of the value function and its level sets for affine control systems with quadratic cost
    • E. Trélat, Some properties of the value function and its level sets for affine control systems with quadratic cost. J. Dynam. Control Systems 6 (2000), No. 4, 511-541.
    • (2000) J. Dynam. Control Systems , vol.6 , Issue.4 , pp. 511-541
    • Trélat, E.1
  • 30
    • 0035695981 scopus 로고    scopus 로고
    • Asymptotics of accessibility sets along an abnormal trajectory
    • E. Trélat, Asymptotics of accessibility sets along an abnormal trajectory. ESAIM Control Optim. Calc. Var. 6 (2001), 387-414.
    • (2001) ESAIM Control Optim. Calc. Var. , vol.6 , pp. 387-414
    • Trélat, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.