Numerical solution of constrained optimal control problems with parameters

Applied Mathematics and Computation

Volumn 80, Issue 1, 1996, Pages 43-62

  Fabien, Brian C ^a  

^a University of Washington   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041583456     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/0096-3003(95)00280-4     Document Type: Article

References (18)

1. B. N. Murali, L. R. Ebbesen, and H. R. Sebesta, Optimization of constrained dynamic systems using the sequential unconstrained minimization technique, ASME J. Dynamic Systems Measurement Control 319-322 (1972).
2. H. G. Bock and K. J. Plitt, A multiple shooting algorithm for direct solution of optimal control processes, in Proceedings, 9th IFAC-World Congress, Budapest, 1984.
3. O. von Stryk and R. Bulirsch, Direct and indirect methods for trajectory optimization, Ann. Oper. Res. 37:357-373 (1992).
4. J. Vlassenbroeck, A. Chebyshev polynomial method for optimal control with state constraints, Automatica 24:499-506 (1988).
5. S. J. Wright, Interior point methods for optimal control of discrete time systems, J. Optim. Theory Appl. 77:161-187 (1993).
6. A. Miele, Recent advances gradient algorithms for optimal control problems, J. Optim. Theory Appl. 17:361-430 (1975).
7. A. Miele, K. H. Well, and J. L. Tietze, Modified quasilinearization algorithm for optimal control problems with bounded state, J. Optim. Theory Appl. 12:285-319 (1973).
8. A. E. Bryson and Y-C Ho, Applied Optimal Control, Hemisphere Publishing, New York, 1975.
9. B. C. Fabien, Numerical solution of BVP-DAE in optimal control, Proceedings, 1995 American Control Conference 3:2069-2070 (1995).
10. B. C. Fabien, An extended penalty function approach to the solution of constrained optimal control problems, Proceedings 1995 American Control Conference, 3:2075-2076.
11. R. T. Haftka and Z. Gurdal, Elements of Structural Optimization, Kluwer Academic, Boston, 1992.
12. L. S. Lasdon, A. D. Waren, and R. K. Rice, An interior penalty method for inequality constrained optimal control problems, IEEE Trans. Automat. Control AC-12:388-395 (1967).
13. S. Gonzalez and A. Miele, Sequential gradient-restoration algorithm for optimal control problems with general boundary conditions, J. Optim. Theory Appl. 26:395-425 (1978).
14. C. Schneider, Rosenbrock-type methods adapted to differential-algebraic systems, Math. Comp. 56:201-213 (1991).
15. O. Buchauer, P. Hiltmann, and M. Kiehl, Sensitivity analysis of initial-value problems with application to shooting techniques, Numer. Math. 67:151-159 (1994).
16. S. J. Wright, Stable parallel algorithms for two-point boundary-value problems, SIAM J. Sci. Statist. Comput. 13:742-764 (1992).
17. L. Liu and R. D. Russell, Linear system solvers for boundary-value ODEs, J. Comp. Appl. Math. 45:103-117 (1993).
18. R. Seydel, From Equilibrium to Chaos, Elsevier Science, New York, 1988.