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Volumn 47, Issue 2, 2011, Pages 341-347

Lossless convexification of a class of optimal control problems with non-convex control constraints

Author keywords

Control of constrained systems; Convex optimization; Guidance, navigation and control of vehicles; Optimal control theory

Indexed keywords

CONSTRAINED SYSTEMS; CONTINUOUS-TIME LINEAR SYSTEMS; CONTROL CONSTRAINT; CONVEX COST; CONVEX OPTIMAL CONTROL; CONVEX RELAXATION; CONVEXIFICATION; FINITE TIME HORIZON; GUIDANCE , NAVIGATION AND CONTROLS; INTERIOR POINT METHODS; LOSSLESS; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROL THEORY; OPTIMAL SOLUTIONS; RELAXED PROBLEM; SOFT LANDING; SOLUTION APPROACH; STATE CONSTRAINTS;

EID: 78751646912     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2010.10.037     Document Type: Article
Times cited : (222)

References (26)
  • 1
    • 35348969788 scopus 로고    scopus 로고
    • Convex programming approach to powered descent guidance for Mars landing
    • B. Akmee, and S.R. Ploen Convex programming approach to powered descent guidance for Mars landing AIAA Journal of Guidance, Control and Dynamics 30 5 2007 1353 1366
    • (2007) AIAA Journal of Guidance, Control and Dynamics , vol.30 , Issue.5 , pp. 1353-1366
    • Akmee, B.1    Ploen, S.R.2
  • 4
    • 0032021498 scopus 로고    scopus 로고
    • Survey of numerical methods for trajectory optimization
    • J.T. Betts Survey of numerical methods for trajectory optimization Journal of Guidance, Control, and Dynamics 21 2 1998 193 207
    • (1998) Journal of Guidance, Control, and Dynamics , vol.21 , Issue.2 , pp. 193-207
    • Betts, J.T.1
  • 5
    • 77956383849 scopus 로고    scopus 로고
    • Minimum landing error powered descent guidance for Mars landing using convex optimization
    • L. Blackmore, B. Akmee, and D.P Scharf Minimum landing error powered descent guidance for Mars landing using convex optimization AIAA Journal of Guidance, Control and Dynamics 33 4 2010 1161 1171
    • (2010) AIAA Journal of Guidance, Control and Dynamics , vol.33 , Issue.4 , pp. 1161-1171
    • Blackmore, L.1    Akmee, B.2    Scharf, D.P.3
  • 7
    • 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
    • C. Bskens, and H. Maurer 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 2000 85 108
    • (2000) Journal of Computational and Applied Mathematics , vol.120 , pp. 85-108
    • Bskens, C.1    Maurer, H.2
  • 9
    • 0036154549 scopus 로고    scopus 로고
    • Direct trajectory optimization by a Chebyshev pseudospectral method
    • F. Fahroo, and I.M. Ross Direct trajectory optimization by a Chebyshev pseudospectral method Journal of Guidance, Control, and Dynamics 25 1 2002 160 166
    • (2002) Journal of Guidance, Control, and Dynamics , vol.25 , Issue.1 , pp. 160-166
    • Fahroo, F.1    Ross, I.M.2
  • 11
    • 0024668467 scopus 로고
    • Model predictive control: Theory and practice-a survey
    • C.E. Garcia, D.M. Prett, and M. Morari Model predictive control: theory and practice-a survey Automatica 25 1989 335 348
    • (1989) Automatica , vol.25 , pp. 335-348
    • Garcia, C.E.1    Prett, D.M.2    Morari, M.3
  • 12
    • 61349167886 scopus 로고    scopus 로고
    • Global convergence of a nonsmooth Newton method for control-state constrained optimal control problems
    • M. Gerdts Global convergence of a nonsmooth Newton method for control-state constrained optimal control problems SIAM Journal of Optimization 19 2008 326 350
    • (2008) SIAM Journal of Optimization , vol.19 , pp. 326-350
    • Gerdts, M.1
  • 13
    • 56949083527 scopus 로고    scopus 로고
    • A nonsmooth Newton's method for control-state constrained optimal control problems
    • M. Gerdts A nonsmooth Newton's method for control-state constrained optimal control problems Mathematics and Computers in Simulation 79 2008 925 936
    • (2008) Mathematics and Computers in Simulation , vol.79 , pp. 925-936
    • Gerdts, M.1
  • 14
    • 0030829242 scopus 로고    scopus 로고
    • Conversion of optimal control problems into parameter optimization problems
    • D.G. Hull Conversion of optimal control problems into parameter optimization problems Journal of Guidance, Control, and Dynamics 20 1 1997 57 60
    • (1997) Journal of Guidance, Control, and Dynamics , vol.20 , Issue.1 , pp. 57-60
    • Hull, D.G.1
  • 15
    • 0016037907 scopus 로고
    • Apollo lunar descent guidance
    • A.R. Klumpp Apollo lunar descent guidance Automatica 10 1974 133 146
    • (1974) Automatica , vol.10 , pp. 133-146
    • Klumpp, A.R.1
  • 16
    • 2942677865 scopus 로고
    • On the concepts of controllability and observability of linear systems
    • E. Kreindler, and P.E. Sarachik On the concepts of controllability and observability of linear systems IEEE Transactions on Automatic Control 9 2 1964 129 136
    • (1964) IEEE Transactions on Automatic Control , vol.9 , Issue.2 , pp. 129-136
    • Kreindler, E.1    Sarachik, P.E.2
  • 17
    • 20344396845 scopus 로고    scopus 로고
    • YALMIP: A toolbox for modeling and optimization in MATLAB
    • Taipei, Taiwan
    • Lfberg, J. (2004). YALMIP: a toolbox for modeling and optimization in MATLAB. In Proceedings of the CACSD conference. Taipei, Taiwan.
    • (2004) Proceedings of the CACSD Conference
    • Löfberg, J.1
  • 18
    • 70049107536 scopus 로고    scopus 로고
    • Optimal control problems with a continuous inequality constraint on the state and the control
    • R.C. Loxton, K.L. Teo, V. Rehbock, and K.F.C. Yiu Optimal control problems with a continuous inequality constraint on the state and the control Automatica 45 2009 2250 2257
    • (2009) Automatica , vol.45 , pp. 2250-2257
    • Loxton, R.C.1    Teo, K.L.2    Rehbock, V.3    Yiu, K.F.C.4
  • 19
    • 0033876326 scopus 로고    scopus 로고
    • Constrained model predictive control: Stability and optimality
    • D.Q. Mayne, J.B. Rawlings, C.V. Rao, and P.O.M. Scokaert Constrained model predictive control: stability and optimality Automatica 36 2000 789 814
    • (2000) Automatica , vol.36 , pp. 789-814
    • Mayne, D.Q.1    Rawlings, J.B.2    Rao, C.V.3    Scokaert, P.O.M.4
  • 20
    • 0000967117 scopus 로고
    • On the problem of optimal thrust programming for a lunar soft landing
    • J.S. Meditch On the problem of optimal thrust programming for a lunar soft landing IEEE Transactions on Automatic Control AC-9 4 1964 477 484
    • (1964) IEEE Transactions on Automatic Control , vol.9 , Issue.4 , pp. 477-484
    • Meditch, J.S.1
  • 24
    • 0033295027 scopus 로고    scopus 로고
    • SDPT3a MATLAB software package for semidefinite programming
    • K.C. Toh, M.J. Todd, and R.H. Tutuncu SDPT3a MATLAB software package for semidefinite programming Optimization Methods and Software 11 1 1999 545 581
    • (1999) Optimization Methods and Software , vol.11 , Issue.1 , pp. 545-581
    • Toh, K.C.1    Todd, M.J.2    Tutuncu, R.H.3
  • 25
    • 0023997890 scopus 로고
    • A Chebyshev technique for solving nonlinear optimal control problems
    • J. Vlassenbroeck, and R.V. Dooren A Chebyshev technique for solving nonlinear optimal control problems IEEE Transactions on Automatic Control 33 4 1988 333 340
    • (1988) IEEE Transactions on Automatic Control , vol.33 , Issue.4 , pp. 333-340
    • Vlassenbroeck, J.1    Dooren, R.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.