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Volumn 43, Issue 9-10, 2006, Pages 1172-1188

Issues in the real-time computation of optimal control

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; DIFFERENTIAL EQUATIONS; MATHEMATICAL TECHNIQUES; NUMERICAL METHODS; OPTIMAL CONTROL SYSTEMS;

EID: 33646048601     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.05.021     Document Type: Article
Times cited : (98)

References (49)
  • 2
    • 0033357214 scopus 로고    scopus 로고
    • O.A. Yakimenko, I.I. Kaminer, Near optimal trajectory generation for autonomous aircraft landing, in: IEEE Internaltional Symposium on Computer Aided Control System Design, Hawaii, 1999
  • 3
    • 85128524075 scopus 로고    scopus 로고
    • M.B. Milam, K. Mushambi, R.M. Murray, A new computational approach to real-time trajectory generation for constrained mechanical systems, in: Proc. IEEE Conf. on Decision and Control, December 2000
  • 4
    • 33646043289 scopus 로고    scopus 로고
    • N. Petit, M.B. Milam, R.M. Murray, Inversion based constrained trajectory optimization, in: IFAC-Symp. NOLCOS, 2001
  • 5
    • 85088720090 scopus 로고    scopus 로고
    • J. Strizzi, I.M. Ross, F. Fahroo, Towards real-time computation of optimal controls for nonlinear systems, in: Proceedings of the AIAA Guidance, Navigation, and Control Conference, Monterey, CA, 2002. AIAA Paper No. 2002-4945
  • 6
    • 19944366973 scopus 로고    scopus 로고
    • I.M. Ross, C.N. D'Souza, Rapid trajectory optimization of multi-agent hybrid systems, in: Proceedings of the AIAA GNC Conference, Providence, RI, 2004
  • 7
    • 0029327262 scopus 로고
    • Flatness and defect of nonlinear systems: Introductory theory and examples
    • Fliess M., Lévine J., Martin P., and Rouchon P. Flatness and defect of nonlinear systems: Introductory theory and examples. International Journal of Control 61 6 (1995) 1327-1361
    • (1995) International Journal of Control , vol.61 , Issue.6 , pp. 1327-1361
    • Fliess, M.1    Lévine, J.2    Martin, P.3    Rouchon, P.4
  • 8
    • 33646018155 scopus 로고    scopus 로고
    • M. Fliess, J. Lévine, P. Rouchon, A simplified approach of crane control via a generalized state-space model, in: Proceedings of the 30th Conference on Decision and Control, Brighton, England, 1991
  • 9
    • 0035280073 scopus 로고    scopus 로고
    • Trajectory planning of differentially flat systems with dynamics and inequalities
    • Faiz N., Agrawal S.K., and Murray R.M. Trajectory planning of differentially flat systems with dynamics and inequalities. Journal of Guidance, Control and Dynamics 24 2 (2001) 219-227
    • (2001) Journal of Guidance, Control and Dynamics , vol.24 , Issue.2 , pp. 219-227
    • Faiz, N.1    Agrawal, S.K.2    Murray, R.M.3
  • 13
    • 0025479698 scopus 로고
    • Generalized controller canonical forms for linear and nonlinear dynamics
    • Fliess M. Generalized controller canonical forms for linear and nonlinear dynamics. IEEE Transactions on Automatic Control 35 (1990) 994-1001
    • (1990) IEEE Transactions on Automatic Control , vol.35 , pp. 994-1001
    • Fliess, M.1
  • 15
    • 0032349259 scopus 로고    scopus 로고
    • A new efficient method for optimization of a class of nonlinear systems without Lagrange multipliers
    • Agrawal S.K., and Faiz N. A new efficient method for optimization of a class of nonlinear systems without Lagrange multipliers. Journal of Optimization Theory and Applications 97 1 (1998) 11-28
    • (1998) Journal of Optimization Theory and Applications , vol.97 , Issue.1 , pp. 11-28
    • Agrawal, S.K.1    Faiz, N.2
  • 16
    • 33646033283 scopus 로고    scopus 로고
    • J.T. Betts, Practical methods for optimal control using nonlinear programming, in: SIAM: Advances in Control and Design Series, Philadelphia, PA, 2001
  • 17
    • 0032021498 scopus 로고    scopus 로고
    • Survey of numerical methods for trajectory optimization
    • Betts J.T. 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
  • 18
    • 4344637586 scopus 로고    scopus 로고
    • Pseudospectral methods for optimal motion planning of differentially flat systems
    • Proc. IEEE Conf. on Decision and Control, Las Vegas, NV, December 2002
    • Ross I.M., and Fahroo F. Pseudospectral methods for optimal motion planning of differentially flat systems. Proc. IEEE Conf. on Decision and Control, Las Vegas, NV, December 2002. IEEE Transactions on Automatic Control 49 8 (2004) 1410-1413
    • (2004) IEEE Transactions on Automatic Control , vol.49 , Issue.8 , pp. 1410-1413
    • Ross, I.M.1    Fahroo, F.2
  • 19
    • 85087601302 scopus 로고    scopus 로고
    • I.M. Ross, F. Fahroo, A perspective on methods for trajectory optimization, in: Proceedings of the AIAA/AAS Astrodynamics Conference, Monterey, CA, August 2002. AIAA Paper No. 2002-4727
  • 20
    • 85128559971 scopus 로고    scopus 로고
    • I.M. Ross, F. Fahroo, A unified computational framework for real-time optimal control, in: Proc. IEEE Conf. on Decision and Control, Maui, HI, 2003
  • 22
    • 0035279869 scopus 로고    scopus 로고
    • New computational framework for trajectory optimization of higher-order dynamic systems
    • Veeraklaew T., and Agrawal S.K. New computational framework for trajectory optimization of higher-order dynamic systems. Journal of Guidance, Control and Dynamics 24 2 (2001) 228-236
    • (2001) Journal of Guidance, Control and Dynamics , vol.24 , Issue.2 , pp. 228-236
    • Veeraklaew, T.1    Agrawal, S.K.2
  • 23
    • 0003796630 scopus 로고
    • Academic Press, New York, NY
    • Adams R.A. Sobolev Spaces (1975), Academic Press, New York, NY
    • (1975) Sobolev Spaces
    • Adams, R.A.1
  • 24
    • 0000814982 scopus 로고    scopus 로고
    • Some recent results on the maximum principle of optimal control theory
    • Byrnes C.I., Datta B.N., Gilliam D.S., and Martin C.F. (Eds), Birkhäuser, Boston
    • Sussmann H.J. Some recent results on the maximum principle of optimal control theory. In: Byrnes C.I., Datta B.N., Gilliam D.S., and Martin C.F. (Eds). Systems and Control in the 21st Century (1997), Birkhäuser, Boston 351-372
    • (1997) Systems and Control in the 21st Century , pp. 351-372
    • Sussmann, H.J.1
  • 26
    • 2642529501 scopus 로고    scopus 로고
    • Pseudospectral knotting methods for solving optimal control problems
    • Ross I.M., and Fahroo F. Pseudospectral knotting methods for solving optimal control problems. Journal of Guidance, Control and Dynamics 27 3 (2004) 397-405
    • (2004) Journal of Guidance, Control and Dynamics , vol.27 , Issue.3 , pp. 397-405
    • Ross, I.M.1    Fahroo, F.2
  • 27
    • 0033731657 scopus 로고    scopus 로고
    • Rigid-body dynamics with friction and impact
    • Stewart D.E. Rigid-body dynamics with friction and impact. SIAM Review 42 1 (2000) 3-39
    • (2000) SIAM Review , vol.42 , Issue.1 , pp. 3-39
    • Stewart, D.E.1
  • 28
    • 0034474563 scopus 로고    scopus 로고
    • Controlled Lagrangians and the stabilization of mechanical systems I: The first matching theorem
    • Bloch A.M., Leonard N.E., and Marsden J.E. Controlled Lagrangians and the stabilization of mechanical systems I: The first matching theorem. IEEE Transactions on Automatic Control 45 (2000) 2253-2270
    • (2000) IEEE Transactions on Automatic Control , vol.45 , pp. 2253-2270
    • Bloch, A.M.1    Leonard, N.E.2    Marsden, J.E.3
  • 29
    • 0035471689 scopus 로고    scopus 로고
    • Controlled Lagrangians and the stabilization of mechanical systems II: Potential shaping
    • Bloch A.M., Leonard N.E., and Marsden J.E. Controlled Lagrangians and the stabilization of mechanical systems II: Potential shaping. IEEE Transactions on Automatic Control 46 10 (2001) 1556-1571
    • (2001) IEEE Transactions on Automatic Control , vol.46 , Issue.10 , pp. 1556-1571
    • Bloch, A.M.1    Leonard, N.E.2    Marsden, J.E.3
  • 31
    • 0027606675 scopus 로고
    • Lagrange multipliers and optimality
    • Rockafellar R.T. Lagrange multipliers and optimality. SIAM Review 35 (1993) 183-283
    • (1993) SIAM Review , vol.35 , pp. 183-283
    • Rockafellar, R.T.1
  • 33
    • 33646023288 scopus 로고    scopus 로고
    • K.E. Brenan, S.L. Campbell, L. Petzold, Numerical solution of initial-value problems in differential-algebraic equations, in: SIAM Series: Classics in Applied Mathematics, Philadelphia, PA, 1996
  • 36
  • 37
    • 33646075580 scopus 로고    scopus 로고
    • I.M. Ross, J. Rea, F. Fahroo, Exploiting higher-order derivatives in computational optimal control, in: Proc. Med. Conf. Control and Automation, Lisbon, Portugal, 2002
  • 38
    • 0029394109 scopus 로고
    • The pseudospectral Legendre method for discretizing optimal control problems
    • Elnagar J., Kazemi M.A., and Razzaghi M. The pseudospectral Legendre method for discretizing optimal control problems. IEEE Transactions on Automatic Control 40 10 (1995) 1793-1796
    • (1995) IEEE Transactions on Automatic Control , vol.40 , Issue.10 , pp. 1793-1796
    • Elnagar, J.1    Kazemi, M.A.2    Razzaghi, M.3
  • 39
  • 40
    • 0036154549 scopus 로고    scopus 로고
    • Direct trajectory optimization by a Chebyshev pseudospectral method
    • Fahroo F., and Ross I.M. 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
  • 41
    • 0001216115 scopus 로고    scopus 로고
    • Generation of pesudospectral differentiation matrices
    • Welfert B.D. Generation of pesudospectral differentiation matrices. SIAM Journal of Numerical Analysis 24 (1997) 1640-1657
    • (1997) SIAM Journal of Numerical Analysis , vol.24 , pp. 1640-1657
    • Welfert, B.D.1
  • 42
    • 2642565670 scopus 로고    scopus 로고
    • Legendre pseudospectral approximations of optimal control problems
    • Springer-Verlag, New York
    • Ross I.M., and Fahroo F. Legendre pseudospectral approximations of optimal control problems. Lecture Notes in Control and Information Sciences vol. 295 (2003), Springer-Verlag, New York 327-342
    • (2003) Lecture Notes in Control and Information Sciences , vol.295 , pp. 327-342
    • Ross, I.M.1    Fahroo, F.2
  • 43
    • 0035712702 scopus 로고    scopus 로고
    • I.M. Ross, F. Fahroo, Convergence of pseudospectral discretizations of optimal control problems, in: Proc. IEEE Conf. on Decision and Control, Orlando, FL, 2001
  • 44
    • 10444238584 scopus 로고    scopus 로고
    • Q. Gong, I.M. Ross, W. Kang, F. Fahroo, Convergence of pseudospectral methods for constrained nonlinear optimal control problems, in: The IASTED International Conference on Intelligent Systems and Control, Honolulu, HI, 2004
  • 45
    • 0036433588 scopus 로고    scopus 로고
    • SNOPT: An SQP algorithm for large-scale constrained optimization
    • Gill P.E., Murray W., and Saunders M.A. SNOPT: An SQP algorithm for large-scale constrained optimization. SIAM Journal of Optimization 12 4 (2002) 979-1006
    • (2002) SIAM Journal of Optimization , vol.12 , Issue.4 , pp. 979-1006
    • Gill, P.E.1    Murray, W.2    Saunders, M.A.3
  • 46
    • 33646064567 scopus 로고    scopus 로고
    • K. Holmström, A.O. Göran, M.M. Edvall, User's guide for Tomlab 4.0.6, Tomlab Optimization, Sweden, August 2003
  • 47
    • 33646058709 scopus 로고    scopus 로고
    • P.E. Gill, W. Murray, M.A. Saunders, M.H. Wright, User's guide for NPSOL 5.0: A FORTRAN package for nonlinear programming, Report SOL 86-2, Dept. of Operations Research, Stanford Univ., CA, 1998
  • 49
    • 33646052699 scopus 로고    scopus 로고
    • An approach for homology search with reconfigurable hardware
    • Yamaguchi Y., Maruyama T., and Konagaya A. An approach for homology search with reconfigurable hardware. Genome Informatics 12 (2001) 374-375
    • (2001) Genome Informatics , vol.12 , pp. 374-375
    • Yamaguchi, Y.1    Maruyama, T.2    Konagaya, A.3


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