Control parametrization enhancing technique for optimal discrete-valued control problems

Automatica

Volumn 35, Issue 8, 1999, Pages 1401-1407

  Lee, H W J ^a   Teo, K L ^b   Rehbock, V ^c   Jennings, L S ^d  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^c CURTIN UNIVERSITY   (Australia)

^d UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMBINATORIAL MATHEMATICS; COMPUTATIONAL METHODS; MATHEMATICAL TRANSFORMATIONS; OPTIMIZATION; PIECEWISE LINEAR TECHNIQUES; PROBLEM SOLVING;

CONTROL PARAMETRIZATION ENHANCING TECHNIQUE; DISCRETE VALUED CONTROL;

OPTIMAL CONTROL SYSTEMS;

EID: 0033177819     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(99)00050-3     Document Type: Article

References (15)

1. Ahmed, N. U. (1988). Elements of Finite-dimensional Systems and Control Theory. Essex: Longman Scientific and Technical, 1988.
2. Dolezal, J. (1981). On the solution of optimal control problems involving parameters and general boundary conditions. Kybernetika, 17, 71-81.
3. Fletcher, R. (1987). Practical Methods of Optimization. New York: Wiley.
4. Gonzales, S., & Miele, A. (1978). Sequential gradient-restoration algorithm for optimal control problems with general boundary conditions. Journal of Optimization Theory and Applications, 26, 395-425.
5. Hasdorff, L. (1976). Gradient Optimization and Nonlinear Control. Wiley. New York.
6. Hewlett, P. (1996). Optimal strategies for the control of a train. Automatica, 32, 519-532.
7. Jennings, L. S., Fisher, M. E., Teo, K. L., & Goh, C. J. (1990). MISER3 Optimal Control Software: Theory and User Manual. EMCOSS Pty Ltd, Perth, Australia.
8. Jennings, L. S., Fisher, M. E., Teo, K. L., & Goh, C. J. (1991). Miser3: Solving optimal control problems - An update. Advances in Engineering Software and Workstations, 13, 190-196.
9. Lee, H. W. J., Jennings, L. S., Teo, K. L., & Rehbock, V. (1997). Control parametrization enhancing technique for time optimal control problems. Dynamic Systems and Applications, 6, 243-262.
10. Miele, A. (1980). Gradient algorithms for the optimization of dynamic systems. In C.T. Leondes, Control and Dynamic Systems : Advances in Theory and Applications (Vol. 16, pp. 1-52). New York, Academic Press.
11. Murray, W., Gill, P. E., & Wright. M. H. (1981). Practical Optimization. New York: Academic Press.
12. Pudney, P., Hewlett, P., & Benjamin, B. (1992). Determination of optimal driving strategies for the control of a train. In B. R. Benjamin B. J. Noye, & L. H. Colgan, Proceeding of the Computational Techniques and Applications, CTAC 91 (pp. 241-248). Computational Mathematical Group, Australian Mathematical Society.
13. Sakawa, Y. (1981). On local convergence of an algorithm for optimal control. Intern. Journal of Numerical Functional Analysian Optimization, 3, 301-319.
14. Stewart, D. E. (1992). A numerical algorithm for optimal control problems with switching costs. Journal of the Australian Mathematical Society, Series B, 34, 212-228.
15. Teo, K. L., Goh, C. J., & Wong, K.H. (1991). A Unified Computational Approach to Optimal Control Problems. Essex: Longman Scientific and Technical.