Minimum energy trajectories for subway systems

Optimal Control Applications and Methods

Volumn 20, Issue 6, 1999, Pages 283-296

  Duarte, Manuel A ^a   Sotomayor, Patricia X ^a  

^a UNIVERSITY OF CHILE   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION CONTROL; COMPUTER SIMULATION; CONSTRAINT THEORY; ELECTRIC LOCOMOTIVES; ENERGY CONSERVATION; FUNCTIONS; ITERATIVE METHODS; MATHEMATICAL MODELS; MOTION CONTROL; RAILROAD TUNNELS; SUBWAYS; VELOCITY CONTROL;

COST FUNCTIONS; ENERGY TRAJECTORIES; GRADIENT RESTORATION THEORY;

OPTIMAL CONTROL SYSTEMS;

EID: 0033361468     PISSN: 01432087     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-1514(199911/12)20:6<283::aid-oca661>3.0.co;2-k     Document Type: Article

References (22)

1. Ichikawa, K., 'Application of optimization theory for bounded state variable problems to the operation of train', Bull. JSME, 11(47), 857-865 (1968).
2. Kokotovic, P. and G. Singh, 'Minimum-energy control of a traction motor', IEEE Trans. Automat. Control, 17(1), 92-95 (1972).
3. Silva, J. P., 'Optimal control of traction motors with state transfer', Master of Science Thesis, E.E. Department, University of Chile, Santiago, Chile, 1975 (in Spanish).
4. Talukdar, S. N. and R. L. Koo, "Multiobjective trajectory optimization for electric trains', IEEE Trans. Automat. Control, 24(6), 888-893 (1979).
5. Ortíz, G., 'Optimal control applied to underground railways', Electrical Engineering Thesis, E.E. Department, University of Chile, Santiago, Chile, 1982 (in Spanish).
6. Gruber P. and M. M. Bayoumi, 'Suboptimal control strategies for multilocomotive powered trains', IEEE Trans. Automat. Control, 27(3), 536-546 (1982).
7. Duarte, M. A., 'General considerations about minimum energy consumption of underground railways', Proc. I Chilean Conference on Transportation Engineering. Santiago, Chile, 1984, pp. 308-320 (in Spanish).
8. Mattis, W. E., 'Modelling and minimum energy control of traction motor systems', Int. J. Energy Systems, 9(2), 78-82 (1989).
9. Duarte, M. A. and G. Ortíz, 'Indirect adaptive control of underground railways', Proc. IV Brazilian Conf. on Automatic Control, Campinas, Brazil, Vol. 1, 1982, pp. 137-142 (in Spanish).
10. Hoang, H. H., M. P. Polis and A. Haurie, 'Reducing energy consumption through trajectory optimization for a metro network', IEEE Trans. Automat. Control, 20(5), 590-595 (1975).
11. Duarte, M. A. and N. Haddad, 'On the determination of minimum energy trajectories for an underground railway network', Proc. V Chilean Conf. on Automatic Control, Valparaíso, Chile. Vol. I, 1982, pp. 280-299 (in Spanish).
12. Sotomayor, P., 'On the determination of optimal trajectories for underground railways', Electrical Engineering Thesis, E.E. Department, University of Chile, Santiago, Chile, 1990 (in Spanish).
13. Miele, A., 'Recent advances in gradient algorithms for optimal control problems', J. Optim. Theory Appl., 17(5/6), 361-430 (1975).
14. Miele, A., J. N. Damoulakis, J. R. Cloutier and J. L. Tietze, 'Sequential gradient-restoration algorithm for optimal control problems with nondifferential constraints', J. Optim. Theory Appl., 13(2), 218-255 (1974).
15. Miele, A., 'Gradient algorithms for the optimization of dynamic systems', in Leondes, C. T. (ed.), Control and Dynamic Systems: Advances in Theory and Applications, Vol. 16, Academic Press, New York, 1980, pp. 1-52.
16. Miele, A. and T. Wang, 'Supplementary optimality properties of the restoration phase of sequential gradient-restoration algorithms for optimal control problems', J. Optim. Theory Appl., 41(1), 169-184 (1983).
17. Miele, A. and J. N. Damoulakis, 'Modifications and extensions of the sequential gradient-restoration algorithm for optimal control theory', J. Franklin Inst., 294(1), 23-42 (1972).
18. González, S. and A. Miele, 'Sequential gradient-restoration algorithm for optimal control problems with general boundary conditions', J. Optim. Theory Appl., 26(3), 395-425 (1978).
19. Miele, A., 'Method of particular solutions for linear two-point boundary-value problems', J. Optim. Theory Appl., 2(4), 260-273 (1968).
20. Miele, A. and R. R. Iyer, 'General technique for solving nonlinear, two-point boundary-value problems, via the method of particular solutions', J. Optim. Theory Appl., 5(5), 382-399 (1970).
21. Miele, A. and R. R. Iyer, 'Modified quasilinearization method for solving nonlinear, two-point boundary-value problems', J. Math. Anal. Appl., 36(3), 247-256 (1971).
22. Henning G. R. and A. Miele, 'Sequential gradient-restoration algorithm for optimal control problems with bounded state', J. Optim. Theory Appl., 12(1), 61-98 (1973).