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Volumn 101, Issue 3, 1999, Pages 623-649

Feasible direction algorithm for optimal control problems with state and control constraints: Implementation

Author keywords

Numerical algorithms; Optimal control; State constrained problems

Indexed keywords

CONTROL TERMINALS; CONTROL-STATE CONSTRAINTS; FEASIBLE DIRECTIONS; IMPLEMENTATION ASPECTS; NUMERICAL ALGORITHMS; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROLS; OPTIMIZATION ALGORITHMS; STATE AND CONTROL CONSTRAINTS; STATE CONSTRAINED PROBLEMS;

EID: 0033148040     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021742204850     Document Type: Article
Times cited : (17)

References (27)
  • 1
    • 0032206288 scopus 로고    scopus 로고
    • A feasible directions algorithm for optimal control problems with state and control constraints: Convergence analysis
    • 1. PYTLAK, R., and VINTER, R. B., A Feasible Directions Algorithm for Optimal Control Problems with State and Control Constraints: Convergence Analysis, SIAM Journal on Control and Optimization, Vol. 36, pp. 1999-2019, 1998.
    • (1998) SIAM Journal on Control and Optimization , vol.36 , pp. 1999-2019
    • Pytlak, R.1    Vinter, R.B.2
  • 3
    • 0028203093 scopus 로고
    • On the optimal control of systems described by evolution equations
    • 3. BAKER, T. E., and POLAK, E., On the Optimal Control of Systems Described by Evolution Equations, SIAM Journal on Control and Optimization, Vol. 32, pp. 224-260, 1994.
    • (1994) SIAM Journal on Control and Optimization , vol.32 , pp. 224-260
    • Baker, T.E.1    Polak, E.2
  • 4
    • 0019075989 scopus 로고
    • An exact penalty function algorithm for optimal control problems with control and terminal equality constraints, parts 1 and 2
    • 4. MAYNE, D. Q., and POLAK, E., An Exact Penalty Function Algorithm for Optimal Control Problems with Control and Terminal Equality Constraints, Parts 1 and 2, Journal of Optimization Theory and Applications, Vol. 32, pp. 211-246, 1980 and Vol. 32, pp. 345-364, 1980.
    • (1980) Journal of Optimization Theory and Applications , vol.32 , pp. 211-246
    • Mayne, D.Q.1    Polak, E.2
  • 5
    • 0019089257 scopus 로고
    • 4. MAYNE, D. Q., and POLAK, E., An Exact Penalty Function Algorithm for Optimal Control Problems with Control and Terminal Equality Constraints, Parts 1 and 2, Journal of Optimization Theory and Applications, Vol. 32, pp. 211-246, 1980 and Vol. 32, pp. 345-364, 1980.
    • (1980) Journal of Optimization Theory and Applications , vol.32 , pp. 345-364
  • 6
    • 34249964631 scopus 로고
    • Optimal scheduling of reservoir releases during flood: Deterministic optimization problem, parts 1 and 2
    • 5. PYTLAK, R., and MALINOWSKI, K., Optimal Scheduling of Reservoir Releases during Flood: Deterministic Optimization Problem, Parts 1 and 2, Journal of Optimization Theory and Applications, Vol. 61, pp. 409-449, 1989.
    • (1989) Journal of Optimization Theory and Applications , vol.61 , pp. 409-449
    • Pytlak, R.1    Malinowski, K.2
  • 7
    • 85033967493 scopus 로고
    • Numerical methods for optimal control problems with input control and state inequality constraints
    • Bordeaux, France
    • 6. PYTLAK, R., Numerical Methods for Optimal Control Problems with Input Control and State Inequality Constraints, Proceedings of the Symposium on Nonlinear Control Systems Design, Bordeaux, France, pp. 531-536, 1992.
    • (1992) Proceedings of the Symposium on Nonlinear Control Systems Design , pp. 531-536
    • Pytlak, R.1
  • 8
    • 0023349806 scopus 로고
    • An exact penalty function algorithm for control problems with state and control constraints
    • 7. MAYNE, D. Q., and POLAK, E., An Exact Penalty Function Algorithm for Control Problems with State and Control Constraints, IEEE Transactions on Automatic Control, Vol. 32, pp. 380-387, 1987.
    • (1987) IEEE Transactions on Automatic Control , vol.32 , pp. 380-387
    • Mayne, D.Q.1    Polak, E.2
  • 9
    • 0042063550 scopus 로고
    • Proximity algorithms: Theory and implementation
    • Department of Electrical Engineering and Computer Science, University of California, Berkeley, California
    • 8. HAUSER, J. E., Proximity Algorithms: Theory and Implementation, Memorandum UCB/ERL-M86/53, Department of Electrical Engineering and Computer Science, University of California, Berkeley, California, 1986.
    • (1986) Memorandum UCB/ERL-M86/53
    • Hauser, J.E.1
  • 11
    • 0026136874 scopus 로고
    • Unified steerable phase I-Phase II method of feasible directions for semi-infinite optimization
    • 10. POLAK, E., and HE, L., Unified Steerable Phase I-Phase II Method of Feasible Directions for Semi-Infinite Optimization, Journal of Optimization Theory and Applications, Vol. 69, pp. 83-107, 1991.
    • (1991) Journal of Optimization Theory and Applications , vol.69 , pp. 83-107
    • Polak, E.1    He, L.2
  • 12
    • 0003859933 scopus 로고
    • Optimization and nonsmooth analysis
    • SIAM Publications, Philadelphia, Pennsylvania
    • 11. CLARKE, F. H., Optimization and Nonsmooth Analysis, Classics in Applied Mathematics, SIAM Publications, Philadelphia, Pennsylvania, 1990.
    • (1990) Classics in Applied Mathematics
    • Clarke, F.H.1
  • 14
    • 0028753514 scopus 로고
    • A range-space method for piecewise-linear quadratic programming: An application to optimal control algorithms
    • Orlando, Florida
    • 13. PYTLAK, R., A Range-Space Method for Piecewise-Linear Quadratic Programming: An Application to Optimal Control Algorithms, Proceedings of the 33rd IEEE Conference on Decision and Control, Orlando, Florida, pp. 1462-1463, 1994.
    • (1994) Proceedings of the 33rd IEEE Conference on Decision and Control , pp. 1462-1463
    • Pytlak, R.1
  • 15
    • 0009200277 scopus 로고
    • A variational approach to the discrete maximum principle
    • 14. PYTLAK, R., A Variational Approach to the Discrete Maximum Principle, IMA Journal of Mathematical Control and Information, Vol. 9, pp. 197-220, 1992.
    • (1992) IMA Journal of Mathematical Control and Information , vol.9 , pp. 197-220
    • Pytlak, R.1
  • 16
    • 0002897657 scopus 로고
    • A superlinearly convergent algorithm for constrained optimization problems
    • 15. MAYNE, D. Q., and POLAK, E., A Superlinearly Convergent Algorithm for Constrained Optimization Problems, Mathematical Programming Study, Vol. 16, pp. 45-61, 1982.
    • (1982) Mathematical Programming Study , vol.16 , pp. 45-61
    • Mayne, D.Q.1    Polak, E.2
  • 17
    • 0027578884 scopus 로고
    • On combining feasibility, descent, and superlinear convergence in inequality constrained optimization
    • 16. PANIER, E. R., and TITS, A. L., On Combining Feasibility, Descent, and Superlinear Convergence in Inequality Constrained Optimization, Mathematical Programming, Vol. 59, pp. 261-276, 1993.
    • (1993) Mathematical Programming , vol.59 , pp. 261-276
    • Panier, E.R.1    Tits, A.L.2
  • 19
    • 0001811061 scopus 로고
    • ODEPACK, a systemized collection of ODE solvers
    • Edited by R. S. Steplemen et al., North-Holland, Amsterdam, Holland
    • 18. HINDMARSH, A. C., ODEPACK, A Systemized Collection of ODE Solvers, Scientific Computing, Edited by R. S. Steplemen et al., North-Holland, Amsterdam, Holland, pp. 55-64, 1983.
    • (1983) Scientific Computing , pp. 55-64
    • Hindmarsh, A.C.1
  • 20
    • 0009261461 scopus 로고
    • A method of centers based on barrier functions for solving optimal control problems with continuous state and control constraints
    • 19. POLAK, E., YANG, T. H., and MAYNE, D. Q., A Method of Centers Based on Barrier Functions for Solving Optimal Control Problems with Continuous State and Control Constraints, SIAM Journal on Control and Optimization, Vol. 31, pp. 159-179, 1993.
    • (1993) SIAM Journal on Control and Optimization , vol.31 , pp. 159-179
    • Polak, E.1    Yang, T.H.2    Mayne, D.Q.3
  • 21
    • 0032380706 scopus 로고    scopus 로고
    • Runge-Kutta based procedure for optimal control of differential-algebraic equations
    • 20. PYTLAK, R., Runge-Kutta Based Procedure for Optimal Control of Differential-Algebraic Equations, Journal of Optimization Theory and Applications, Vol. 97, pp. 675-705, 1998.
    • (1998) Journal of Optimization Theory and Applications , vol.97 , pp. 675-705
    • Pytlak, R.1
  • 22
    • 0009278003 scopus 로고
    • Nonlinear optimal control problems with continuous state inequality constraints
    • 21. TEO, K. L., and JENNINGS, L. S., Nonlinear Optimal Control Problems with Continuous State Inequality Constraints, Journal of Optimization Theory and Applications, Vol. 63, pp. 1-22, 1989.
    • (1989) Journal of Optimization Theory and Applications , vol.63 , pp. 1-22
    • Teo, K.L.1    Jennings, L.S.2
  • 26
    • 0026185765 scopus 로고
    • Abort landing in the presence of windshear as a minimax optimal control problem, part I: Necessary conditions
    • 25. BULIRSCH, R., MONTRONE, F., and PESCH, H. J., Abort Landing in the Presence of Windshear as a Minimax Optimal Control Problem, Part I: Necessary Conditions, Journal of Optimization Theory and Applications, Vol. 70, pp. 1-23, 1991.
    • (1991) Journal of Optimization Theory and Applications , vol.70 , 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
    • 26. BULIRSCH, R., MONTRONE, F., and PESCH, H. J., 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, Vol. 70, pp. 223-254, 1991.
    • (1991) Journal of Optimization Theory and Applications , vol.70 , pp. 223-254
    • Bulirsch, R.1    Montrone, F.2    Pesch, H.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.