Numerical treatment of multiobjective optimal control problems

Automatica

Volumn 39, Issue 1, 2003, Pages 47-55

  El Kady, M M ^a,b   Salim, M S ^c   El Sagheer, A M ^a  

^a ASWAN UNIVERSITY   (Egypt)

^b Tabuk Teachers College   (Saudi Arabia)

^c AL AZHAR UNIVERSITY   (Egypt)

Author keywords

Multiobjective constraints; Parametric optimal control

Indexed keywords

ALGORITHMS; INTERPOLATION; OPTIMIZATION; PROBLEM SOLVING; PROCESS CONTROL;

PARAMETRIC OPTIMAL CONTROL;

OPTIMAL CONTROL SYSTEMS;

EID: 0037211175     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(02)00109-7     Document Type: Article

References (14)

1. Chankong V., Hamies Y.Y. Multiobjective decision making: Theory and methodology. 1983;Elsevier-North-Holland, New York.
2. Duan L. Convexification of a noninferior frontier. Journal of Optimization Theory and Application. 1:1996;177-196.
3. El-Gendi S.E. Chebyshev solutions of differential, integral and integrodifferential equations. The Computer Journal. 12:1969;282-287.
4. El-Gindy T.M., El-Hawary H.M., Salim M.S., El-Kady M. A Chebyshev approximation for solving optimal control problems. Computers in Mathematical Applications. 29(6):1995;35-45.
5. Fleming, P.J. (1985). Computer aided design of regulators using multiobjective optimization. IFAC Control Applications of Nonlinear Programming and Optimization, Capri, Italy.
6. Fox L., Parker I.B. Chebyshev polynomials in numerical analysis. 1972;University Press, Oxford.
7. Goldfarb D., Lapidus L. Conjugate gradient method for nonlinear programming problems with linear constraints. Industrial and Engineering Chemistry Fundamentals. 7:1968;142-151.
8. Mehra R.K., Davis R.E. A generalized gradient method for optimal control with inequality constraints and singular arcs. IEEE Transactions on Automatic Control. Ac-17:1972;69-79.
9. O'Doherty R.J., Pierson B.L. A numerical study of augmented penalty function algorithms for terminally constrained optimal problems. Journal of Optimization Theory and Applications. 14:1974;393-403.
10. Salim M.S., El-Kady M.M., El-Sagheer A.M. Hybrid penalty partial quadratic interpolation technique in the constrained optimization problems. Journal of the Institution of Mathematics and Computer Science (Computer Science Series). 9(1):1998;7-18.
11. Salukvadze M.E. Vector-valued optimization problems in control theory. 1979;Academic Press, New York.
12. Sirisena, H.R., & Chou, F.S. (1976). An efficient algorithm for solving optimal control problems with linear terminal constraints. IEEE Transactions on Automatic Control, AC-21, 275-277.
13. Sirisena H.R., Tan K.S. Computation of constrained optimal controls using parameterization technique. IEEE Transactions on Automatic Control (Tech Notes and Correspondence). Ac-19:1974;431-433.
14. Van Dooren R., Vlassenbroeck J. A Chebyshev technique for solving nonlinear optimal control problems. IEEE Transactions on Automatic Control. 33(4):1988;333-339.