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Volumn 31, Issue 4, 2008, Pages 927-936

Pseudospectral methods for infinite-horizon optimal control problems

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; MAPPING; NUMERICAL METHODS;

EID: 48949100903     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.33117     Document Type: Article
Times cited : (151)

References (45)
  • 1
    • 44649182527 scopus 로고    scopus 로고
    • Pseudospectral Optimal Control Theory Makes Debut Flight - Saves NASA $1M in Under 3 Hours
    • Sept
    • Kang, W., and Bedrossian, N., "Pseudospectral Optimal Control Theory Makes Debut Flight - Saves NASA $1M in Under 3 Hours," SIAM News, Vol. 40, No. 7, Sept. 2007, p. 1.
    • (2007) SIAM News , vol.40 , Issue.7 , pp. 1
    • Kang, W.1    Bedrossian, N.2
  • 2
    • 37249025617 scopus 로고    scopus 로고
    • First Ever Flight Demonstration of Zero Propellant Maneuver Attitude Control Concept
    • Bedrossian, N., Bhatt, S., Lammers M., Nguyen, L., and Zhang, Y., "First Ever Flight Demonstration of Zero Propellant Maneuver Attitude Control Concept," AIAA, 2007-6734, 2007.
    • (2007) AIAA 2007-6734
    • Bedrossian, N.1    Bhatt, S.2    Lammers, M.3    Nguyen, L.4    Zhang, Y.5
  • 3
    • 33646048601 scopus 로고    scopus 로고
    • Issues in the Real-Time Computation of Optimal Control
    • May
    • Ross, I. M., and Fahroo, F., "Issues in the Real-Time Computation of Optimal Control," Mathematical and Computer Modelling, Vol. 43, Nos. 9-10, May 2006, pp. 1172-1188.
    • (2006) Mathematical and Computer Modelling , vol.43 , Issue.9-10 , pp. 1172-1188
    • Ross, I.M.1    Fahroo, F.2
  • 4
    • 1542378891 scopus 로고    scopus 로고
    • A Unified Computational Framework for Real-Time Optimal Control
    • Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 9-12 Dec
    • Ross, I. M., and Fahroo, F., "A Unified Computational Framework for Real-Time Optimal Control," Proceedings of the IEEE Conference on Decision and Control, Vol. 3, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 9-12 Dec. 2003, pp. 2210-2215.
    • (2003) Proceedings of the IEEE Conference on Decision and Control , vol.3 , pp. 2210-2215
    • Ross, I.M.1    Fahroo, F.2
  • 5
    • 33845746646 scopus 로고    scopus 로고
    • Lyapunov Functions and Feedback in Nonlinear Control
    • Optimal Control, Stabilization and Nonsmooth Analysis, edited by M. S. de Queiroz, M. Malisoff, and P. Wolenski, Springer-Verlag, New York
    • Clarke, F., "Lyapunov Functions and Feedback in Nonlinear Control," Optimal Control, Stabilization and Nonsmooth Analysis, edited by M. S. de Queiroz, M. Malisoff, and P. Wolenski, Vol. 301, Lecture Notes in Control and Information Sciences, Springer-Verlag, New York, 2004, pp. 267-282.
    • (2004) Lecture Notes in Control and Information Sciences , vol.301 , pp. 267-282
    • Clarke, F.1
  • 6
    • 0033876326 scopus 로고    scopus 로고
    • Constrained Model Predictive Control: Stability and Optimality
    • Mayne, D. Q., Rawlings, J. B., Rao, C. V., and Scokaert, P. O. M., "Constrained Model Predictive Control: Stability and Optimality," Automatica, Vol. 36, No. 6, 2000, pp. 789-814.
    • (2000) Automatica , vol.36 , Issue.6 , pp. 789-814
    • Mayne, D.Q.1    Rawlings, J.B.2    Rao, C.V.3    Scokaert, P.O.M.4
  • 7
    • 29744443812 scopus 로고    scopus 로고
    • Pseudospectral Methods for Infinite-Horizon Nonlinear Optimal Control Problems
    • AIAA, Reston, VA, Aug
    • Fahroo F., and Ross, I. M., "Pseudospectral Methods for Infinite-Horizon Nonlinear Optimal Control Problems," AIAA Guidance, Navigation, and Control Conference, AIAA, Reston, VA, Aug. 2005, pp. 15-18.
    • (2005) AIAA Guidance, Navigation, and Control Conference , pp. 15-18
    • Fahroo, F.1    Ross, I.M.2
  • 8
    • 17444372724 scopus 로고    scopus 로고
    • An SQP Algorithm for Large-Scale Constrained Optimization
    • SNOPT
    • Gill, P. E., Murray, W., and Saunders, M. A., SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization, SIAM Review, Vol. 47, No. 1, 2005, pp. 99-131.
    • (2005) SIAM Review , vol.47 , Issue.1 , pp. 99-131
    • Gill, P.E.1    Murray, W.2    Saunders, M.A.3
  • 9
    • 85087601302 scopus 로고    scopus 로고
    • A Perspective on Methods for Trajectory Optimization
    • AIAA/AAS, Monterey, CA, AIAA Paper 2002-4727, Aug
    • Ross, I. M., and Fahroo, F., "A Perspective on Methods for Trajectory Optimization," AIAA/AAS Astrodynamics Conference, Monterey, CA, AIAA Paper 2002-4727, Aug. 2002.
    • (2002) Astrodynamics Conference
    • Ross, I.M.1    Fahroo, F.2
  • 10
    • 55149108843 scopus 로고    scopus 로고
    • Connections Between the Covector Mapping Theorem and Convergence of Pseudospectral Methods for Optimal Control
    • to be published
    • Gong, Q., Ross, I. M., Kang, W., and Fahroo, F., "Connections Between the Covector Mapping Theorem and Convergence of Pseudospectral Methods for Optimal Control," Computational Optimization and Applications (to be published).
    • Computational Optimization and Applications
    • Gong, Q.1    Ross, I.M.2    Kang, W.3    Fahroo, F.4
  • 12
    • 48949099878 scopus 로고    scopus 로고
    • also Proceedings of the 10th International Conference on Cybernetics and Information Technologies, Systems and Applications (CITSA), International Inst. of Informatics and Cybernetics, Orlando, FL, 21-25 July 2004, pp. 104-109.
    • also Proceedings of the 10th International Conference on Cybernetics and Information Technologies, Systems and Applications (CITSA), International Inst. of Informatics and Cybernetics, Orlando, FL, 21-25 July 2004, pp. 104-109.
  • 13
    • 2642565670 scopus 로고    scopus 로고
    • Legendre Pseudospectral Approximations of Optimal Control Problems
    • New Trends in Nonlinear Dynamics and Control, and Their Applications, Springer-Verlag, New York
    • Ross, I. M., and Fahroo, F., "Legendre Pseudospectral Approximations of Optimal Control Problems," New Trends in Nonlinear Dynamics and Control, and Their Applications, Lecture Notes in Control and Information Sciences, Vol. 295, Springer-Verlag, New York, 2003, pp. 327-342.
    • (2003) Lecture Notes in Control and Information Sciences , vol.295 , pp. 327-342
    • Ross, I.M.1    Fahroo, F.2
  • 14
    • 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, Vol. 40, No. 10, 1995, pp. 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
  • 15
    • 34047218950 scopus 로고    scopus 로고
    • Practical Stabilization Through Real-Time Optimal Control
    • Inst. of Electrical and Electronics Engineers, Piscataway, NJ, June
    • Ross, I. M., Gong, Q., Fahroo, F., and Kang, W., "Practical Stabilization Through Real-Time Optimal Control," Proceedings of the 2006 American Control Conference, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, June 2006, pp. 14-16.
    • (2006) Proceedings of the 2006 American Control Conference , pp. 14-16
    • Ross, I.M.1    Gong, Q.2    Fahroo, F.3    Kang, W.4
  • 16
  • 17
    • 0034852727 scopus 로고    scopus 로고
    • Optimal Feedback Control Laws by Legendre Pseudospectral Approximations
    • Inst. of Electrical and Electronics Engineers, Piscataway, NJ
    • Yan, H., Fahroo, F., and Ross, I. M., "Optimal Feedback Control Laws by Legendre Pseudospectral Approximations," Proceedings of the 2001 American Control Conference, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 2001, pp. 2388-2393.
    • (2001) Proceedings of the 2001 American Control Conference , pp. 2388-2393
    • Yan, H.1    Fahroo, F.2    Ross, I.M.3
  • 18
    • 85088718658 scopus 로고    scopus 로고
    • Real-Time Computation of Neighbouring Optimal Control Laws
    • AIAA Paper 2002-4657, Aug
    • Yan, H., Fahroo, F., and Ross, I. M., "Real-Time Computation of Neighbouring Optimal Control Laws," AIAA Paper 2002-4657, Aug. 2002.
    • (2002)
    • Yan, H.1    Fahroo, F.2    Ross, I.M.3
  • 19
    • 19644387003 scopus 로고    scopus 로고
    • Receding Horizon Control of a Tether System Using Quasilinearization and Chebyshev Pseudospectral Approximations
    • Big Sky, MT, American Astronautical Society Paper 03-535, Aug
    • Williams, P., Blanksby C., Trivailo, P., and Fuji, H. A., "Receding Horizon Control of a Tether System Using Quasilinearization and Chebyshev Pseudospectral Approximations," AAS/AIAA Astrodynamics Specialists Conference, Big Sky, MT, American Astronautical Society Paper 03-535, Aug. 2003.
    • (2003) AAS/AIAA Astrodynamics Specialists Conference
    • Williams, P.1    Blanksby, C.2    Trivailo, P.3    Fuji, H.A.4
  • 20
    • 1842502627 scopus 로고    scopus 로고
    • Application of Pseudospectral Methods for Receding Horizon Control
    • Williams, P., "Application of Pseudospectral Methods for Receding Horizon Control," Journal of Guidance, Control, and Dynamics, Vol. 27, No. 2, 2004, pp. 310-314.
    • (2004) Journal of Guidance, Control, and Dynamics , vol.27 , Issue.2 , pp. 310-314
    • Williams, P.1
  • 21
    • 34547591530 scopus 로고    scopus 로고
    • Pseudospectral Feedback Control for Three-Axis Magnetic Attitude Stabilization in Elliptic Orbits
    • July-Aug
    • Yan, H., Ross, I. M., and Alfriend, K. T., "Pseudospectral Feedback Control for Three-Axis Magnetic Attitude Stabilization in Elliptic Orbits," Journal of Guidance, Control, and Dynamics, Vol. 30, No. 4, July-Aug. 2007, pp. 1107-1115.
    • (2007) Journal of Guidance, Control, and Dynamics , vol.30 , Issue.4 , pp. 1107-1115
    • Yan, H.1    Ross, I.M.2    Alfriend, K.T.3
  • 24
    • 0029324375 scopus 로고
    • A Survey of the Maximum Principles for Optimal Control Problems with State Constraints
    • Hartl, R. F., Sethi, S. P., and Vickson, R. G., " A Survey of the Maximum Principles for Optimal Control Problems with State Constraints," SIAM Review, Vol. 37, No. 2, 1995, pp. 181-218.
    • (1995) SIAM Review , vol.37 , Issue.2 , pp. 181-218
    • Hartl, R.F.1    Sethi, S.P.2    Vickson, R.G.3
  • 25
    • 48949102914 scopus 로고    scopus 로고
    • Legendre and Laguerre Pseudospectral Methods for Infinite-Horizon Optimal Control
    • Society for Industrial and Applied Mathematics, Philadelphia, July
    • Fahroo, F., and Ross, I. M., "Legendre and Laguerre Pseudospectral Methods for Infinite-Horizon Optimal Control," Sixth SIAM Conference on Control and its Applications, Society for Industrial and Applied Mathematics, Philadelphia, July 2005, pp. 11-14.
    • (2005) Sixth SIAM Conference on Control and its Applications , pp. 11-14
    • Fahroo, F.1    Ross, I.M.2
  • 26
    • 1542330037 scopus 로고    scopus 로고
    • Adaptive Grids for Trajectory Optimization by Pseudospectral Methods
    • Ponce, Puerto Rico, American Astronautical Society Paper 03-142, February 9-13
    • Ross, I. M., Fahroo, F., and Strizzi, J., "Adaptive Grids for Trajectory Optimization by Pseudospectral Methods," AAS/AIAA Spaceflight Mechanics Conference, Ponce, Puerto Rico, American Astronautical Society Paper 03-142, February 9-13 2003.
    • (2003) AAS/AIAA Spaceflight Mechanics Conference
    • Ross, I.M.1    Fahroo, F.2    Strizzi, J.3
  • 30
    • 33846018507 scopus 로고    scopus 로고
    • On Discrete-Time Optimality Conditions for Pseudospectral Methods
    • AIAA/AAS, Keystone, CO, AIAA Paper 2006-6304, Aug
    • Fahroo, F., and Ross, I. M., "On Discrete-Time Optimality Conditions for Pseudospectral Methods," AIAA/AAS Astrodynamics Conference, Keystone, CO, AIAA Paper 2006-6304, Aug. 2006
    • (2006) Astrodynamics Conference
    • Fahroo, F.1    Ross, I.M.2
  • 34
    • 83455211618 scopus 로고    scopus 로고
    • A Roadmap for Optimal Control: The Right Way to Commute
    • Dec
    • Ross, I. M., "A Roadmap for Optimal Control: The Right Way to Commute," Annals of the New York Academy of Sciences, Vol. 1065, Dec. 2005, pp. 210-231.
    • (2005) Annals of the New York Academy of Sciences , vol.1065 , pp. 210-231
    • Ross, I.M.1
  • 35
    • 0011710238 scopus 로고    scopus 로고
    • Numerical Analysis in Optimal Control
    • edited by K.-H. Hoffmann, I. Lasiecka, G. Leugering, J. Sprekels, and F. Troeltzsch, Birkhäuser, Basel, Switzerland
    • Hager, W. W., "Numerical Analysis in Optimal Control," International Series of Numerical Mathematics, edited by K.-H. Hoffmann, I. Lasiecka, G. Leugering, J. Sprekels, and F. Troeltzsch, Vol. 139, Birkhäuser, Basel, Switzerland, 2001, pp. 83-93.
    • (2001) International Series of Numerical Mathematics , vol.139 , pp. 83-93
    • Hager, W.W.1
  • 36
    • 0034550013 scopus 로고    scopus 로고
    • Runge-Kutta Methods in Optimal Control and the Transformed Adjoint System
    • Hager, W. W., "Runge-Kutta Methods in Optimal Control and the Transformed Adjoint System," Numerische Mathematik, Vol. 87, No. 2, 2000, pp. 247-282.
    • (2000) Numerische Mathematik , vol.87 , Issue.2 , pp. 247-282
    • Hager, W.W.1
  • 38
    • 33749359717 scopus 로고    scopus 로고
    • A Historical Introduction to the Covector Mapping Principle
    • Univelt, San Diego, CA
    • Ross, I. M., "A Historical Introduction to the Covector Mapping Principle," Advances in the Astronautical Sciences, Vol. 123, Univelt, San Diego, CA, 2006, pp. 1257-1278.
    • (2006) Advances in the Astronautical Sciences , vol.123 , pp. 1257-1278
    • Ross, I.M.1
  • 39
    • 14344258365 scopus 로고    scopus 로고
    • Variational Analysis and Generalized Differentiation, 1: Basic Theory
    • Springer, Berlin
    • Mordukhovich, B. S., Variational Analysis and Generalized Differentiation, 1: Basic Theory, Grundlehren der Mathematischen Wissenschaften Series, Vol. 330, Springer, Berlin, 2005.
    • (2005) Grundlehren der Mathematischen Wissenschaften Series , vol.330
    • Mordukhovich, B.S.1
  • 40
    • 84975863992 scopus 로고    scopus 로고
    • Variational Analysis and Generalized Differentiation, 2: Applications
    • Springer, Berlin
    • Mordukhovich, B. S., Variational Analysis and Generalized Differentiation, 2: Applications, Grundlehren der Mathematischen Wissenschaften Series, Vol. 331, Springer, Berlin, 2005.
    • (2005) Grundlehren der Mathematischen Wissenschaften Series , vol.331
    • Mordukhovich, B.S.1
  • 41
    • 8744267096 scopus 로고    scopus 로고
    • Discrete Verification of Necessary Conditions for Switched Nonlinear Optimal Control Systems
    • Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 30 June-2 July
    • Ross, I. M., and Fahroo, F., "Discrete Verification of Necessary Conditions for Switched Nonlinear Optimal Control Systems," Proceedings of the 2004 American Control Conference, Vol. 2, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 30 June-2 July 2004, pp. 1610-1615.
    • (2004) Proceedings of the 2004 American Control Conference , vol.2 , pp. 1610-1615
    • Ross, I.M.1    Fahroo, F.2
  • 44
    • 46449106678 scopus 로고    scopus 로고
    • NPSAT1 Parameter Estimation Using Unscented Kalman Filtering
    • Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 9-13 July
    • Sekhavat P., Gong, Q., and Ross, I. M., "NPSAT1 Parameter Estimation Using Unscented Kalman Filtering," Proceedings of the 2007 American Control Conference, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 9-13 July 2007, pp. 4445-4451.
    • (2007) Proceedings of the 2007 American Control Conference , pp. 4445-4451
    • Sekhavat, P.1    Gong, Q.2    Ross, I.M.3
  • 45
    • 0005753731 scopus 로고    scopus 로고
    • A Pseudospectral Transformation of the Covectors of Optimal Control Systems
    • Elsevier Science, Frankfurt, Germany, 29-31 Aug
    • Ross, I. M., and Fahroo, F., "A Pseudospectral Transformation of the Covectors of Optimal Control Systems," Proceedings of the First IFAC Symposium on System Structure and Control, Elsevier Science, Frankfurt, Germany, 29-31 Aug. 2001, pp. 543-548.
    • (2001) Proceedings of the First IFAC Symposium on System Structure and Control , pp. 543-548
    • Ross, I.M.1    Fahroo, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.