Computational method for time-optimal switching control

Journal of Optimization Theory and Applications

Volumn 117, Issue 1, 2003, Pages 69-92

  Kaya, C Y ^a   Noakes, J L ^b  

^a UNIVERSITY OF SOUTH AUSTRALIA   (Australia)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

bang bang control; computation; control parametrization; switching control; Time optimal control

Indexed keywords

BANG BANG CONTROL SYSTEMS; COMPUTATIONAL EFFICIENCY; CONSTRAINED OPTIMIZATION;

ARC TIME; BANG-BANG CONTROL; CONTROL OF NONLINEAR SYSTEM; CONTROL PARAMETRIZATION; OPTIMAL SWITCHING; OPTIMAL SWITCHING CONTROL; SWITCHING ALGORITHMS; SWITCHING CONTROL; TIME OPTIMAL CONTROL; TIME-OPTIMAL;

SWITCHING;

EID: 0037727663     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023600422807     Document Type: Article

References (25)

1. PONTRYAGIN, L. S., BOLTYANSKII, R. V., GAMKRELIDZE, R. V., and MISHENKO, E. F., The Mathematical Theory of Optimal Processes, Wiley-Interscience, New York, NY, 1962.
2. KAYA, C. Y., Control in the Plane and Time-Optimal Bang-Bang Control, PhD Thesis, University of Western Australia, Nedlands, Western Australia, Australia, 1995.
3. KAYA, C. Y., and NOAKES, J. L., Computations and Time-Optimal Controls, Optimal Control Applications and Methods, Vol. 17, pp. 171-185, 1996.
4. SCRIVENER, S. L., and THOMPSON, R. C., Survey of Time-Optimal Attitude Maneuvers, Journal of Guidance, Control, and Dynamics, Vol. 17, pp. 225-233, 1994.
5. MOHLER, R. R., Bilinear Control Processes, Chapter 3, Academic Press, New York, NY, 1973.
6. MOHLER, R. R., Nonlinear Systems, Vol. 2: Applications to Bilinear Control, Chapter 7, Prentice Hall, Englewood Cliffs, New Jersey, 1991.
7. MEIER, E. B., and BRYSON Jr., A. E., Efficient Algorithm for Time-Optimal Control of a Two-Link Manipulator, Journal of Guidance, Control, and Dynamics, Vol. 13, pp. 859-866, 1990.
8. TEO, K. L., GOH, C. J., and WONG, K. H., A Unified Computational Approach to Optimal Control Problems, Longman Scientific and Technical, Essex, England, 1991.
9. WONG, K. H., CLEMENTS, D. J., and TEO, K. L., Optimal Control Computation for Nonlinear Time-Lag Systems, Journal of Optimization Theory and Applications, Vol. 47, pp. 91-107, 1985.
10. KAYA, C. Y., and NOAKES, J. L., A Global Control Law with Implications in Time-Optimal Control, Proceedings of the 33rd IEEE Conference on Decision and Control, Orlando, Florida, pp. 3823-3824, 1994.
11. JENNINGS, L. S., FISHER, M. E., TEO, K. L., and GOH, C. J., MISER3 Optimal Control Software: Theory and User Manual, EMCOSS, Carine, Western Australia, Australia, 1990.
12. MISER3.1 Optimal Control Software, Department of Mathematics, University of Western Australia, Australia, 1991.
13. MISER3.2 Optimal Control Software, Department of Mathematics, University of Western Australia, Australia, 1997.
14. VINCENT, T. L., and GRANTHAM, W. J., Optimality in Parametric Systems, Wiley-Interscience, New York, NY, 1981.
15. LEE, H. W. J., TEO, K. L., REHBOCK, V., and JENNINGS, L. S., Control Parametrization Enhancing Technique for Time-Optimal Control Problems, Dynamic Systems and Applications, Vol. 6, pp. 243-262, 1997.
16. LUENBERGER, D. G., Linear and Nonlinear Programming, Addison-Wesley, Reading, Massachusetts, 1989.
17. GARRARD, W. L., and JORDAN, J. M., Design of Nonlinear Automatic Control Systems, Automatica, Vol. 13, pp. 497-505, 1977.
18. DESROCHERS, A. A., and AL-JAAR, R. Y., Nonlinear Model Simplification in Flight Control System Design, AIAA Journal of Guidance, Control, and Dynamics, Vol. 7, pp. 684-689, 1984.
19. BANKS, S. P., and MHANA, K. J., Optimal Control and Stabilization of Nonlinear Systems, IMA Journal of Mathematical Control and Information, Vol. 9, pp. 179-196, 1992.
20. REHBOCK, V., TEO, K. L., and JENNINGS, L. S., Suboptimal Feedback Control for a Class of Nonlinear Systems Using Spline Interpolation, Discrete and Continuous Dynamical Systems, Vol. 1, pp. 223-236, 1994.
21. LUCAS, S. K., and KAYA, C. Y., Switching Time Computation for Bang-Bang Control Laws, Proceedings of the 2001 American Control Conference, pp. 176-181, 2001.
22. MAURER, H., Numerical Solution of Singular Control Problems Using Multiple-Shooting Techniques, Journal of Optimization Theory and Applications, Vol. 18, pp. 235-257, 1976.
23. FRASER-ANDREWS, G., Finding Candidate Singular Optimal Controls: A State of the Art Survey, Journal of Optimization Theory and Applications, Vol. 60, pp. 173-190, 1989.
24. FRASER-ANDREWS, G., Numerical Methods for Singular Optimal Control, Journal of Optimization Theory and Applications, Vol. 61, pp. 377-401, 1989.
25. BÜSKENS, C., PESCH, H. J., and WINDERL, S., Real-Time Solutions of Bang-Bang and Singular Optimal Control Problems, Online Optimization of Large Scale Systems, Edited by M. Grotschel, S. O. Krumke, and J. Rambau, Springer Verlag, Berlin, Germany, pp. 129-142, 2001.