An interval analysis algorithm for automated controller synthesis in QFT designs

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

Volumn 129, Issue 3, 2007, Pages 311-321

  Nataraj, P S V ^a   Tharewal, Sachin ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CUTOFF FREQUENCY; FEEDBACK CONTROL; FUNCTIONS; VECTORS;

CONTROLLER SYNTHESIS; QUANTITATIVE FEEDBACK THEORY (QFT);

CONTROL EQUIPMENT;

EID: 34250840530     PISSN: 00220434     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2397147     Document Type: Article

References (24)

1. Horowitz, I. M., 1993, Quantitative Feedback Design Theory (QFT), QFT Publications, Boulder, Co.
2. Ballance, D. J., and Gawthrop, P. J., 1991, "Control Systems Design Via a QFT Approach," Proceedings of the IEE Conference "Control 91," Edinburgh, UK, Vol. 1, 476-481.
3. Bryant, G., and Halikias, G., 1995, "Optimal Loop-Shaping for Systems With Large Parameter Uncertainty Via Linear Programming," Int. J. Control, 62(3), pp. 557-568.
4. Chait, Y., Chen, Q., and Hollot, C. V., 1999, "Automatic Loop-Shaping of QFT Controllers Via Linear Programming," ASME J. Dyn. Syst., Meas., Control, 121, pp. 351-357.
5. Gera, A., and Horowitz, J. M., 1992, "Optimization of the Loop Transfer Function," Int. J. Control, 31, pp. 389-398.
6. Thompson, D. F., and Nwokah, O. D. I., 1994, "Analytical Loop Shaping Methods in Quantitative Feedback Theory," ASME J. Dyn. Syst., Meas., Control, 116(2), pp. 169-177.
7. Borghesani, C., Chait, Y., and Yaniv, O., The QFT Frequency Domain Design Toolbox for Use With MATUB™, The Math Works, Inc., Natick, MA.
8. Chen, W., Ballance, D. J., and Li, Y., 1998, Automatic Loop-Shaping in QFT Using Genetic Algorithms, Proceedings of 3rd Asia-Pacific Conference on Control and Measurement, pp. 63-67.
9. Dallwig, S., Neumaier, A., and Schichl, H., 1997, "Glopt - A Program for Constrained Global Optimization," I. Bomze et al., Developments in Global Optimization, Kluwer, Dordrecht, pp. 19-36.
10. Floudas, C. A., and Pardalos, P. M., 1992, Recent Advances in Global Optimization, Princeton University Press, Princeton, NJ.
11. Floudas, C. A., and Pardalos, P. M., 2000, Optimization in Computational Chemistry and Molecular Biology: Local and Global Approaches, Kluwer, Dordrecht.
12. Horst, R., and Pardalos, P. M., 1995, Handbook of Global Optimization, Kluwer Academic, Dordrecht.
13. Horst, R., Pardalos, P. M., and Thoai, N. V., 1995, Introduction to Global Optimization, Kluwer Academic, Dordrecht.
14. Moore, R. E., Hansen, E., and Leclerc, A., 1992, Rigourous Methods for Global "Optimisation, Recent Advances in Global Optimization," eds., C. A. Floudas, and P. M. Pardalos, Princeton University Press, Princeton, NJ.
15. Pardalos, P. M., and Rosen, J. B., 1987, "Constrained Global Optimization: Algorithms and Applications," eds., Springer-Verlag, New York.
16. Hansen, E., 1992, Global Optimization Using Interval Analysis, Marcel Dekker, New York.
17. Ichida, K., and Fujii, Y., 1979, "An Interval Arithmetic Method for Global Optimization," Computing, 23, 85-97.
18. Kearfott, R. B., 1992, "An Interval Branch and Bound Algorithm for Bound Constrained Optimization Problems," J. Global Optim., 2, pp. 259-280.
19. Kearfott, R. B., 1996, Rigorous Global Search: Continuous Problems, Kluwer Academic, Dordrecht.
20. Ratschek, H., and Rokne, J., 1988, New Computer Methods for Global Optimization, Wiley, New York.
21. Horowitz, I. M., 1973, "Optimum Loop Transfer Function in Single-Loop Minimum-Phase Feedback Systems," Int. J. Control, 18, pp. 97-113.
22. Zolotas, A., and Halikias, G., 1999, "Optimal Design of PID Controllers Using the QFT Method," IEE Proc.: Control Theory Appl., 146(6); pp. 585-589.
23. IMSL User Manual, 1987, Math. Library, FORTRAN Subroutine for Mathematical Applications, IMSL Problem-Solving Software Systems, V, 10.0, IMSL Inc., Houston, TX.
24. Tharewal, S., 2005, "Automated Synthesis of QFT Controllers and Prefilters Using Interval Global Optimization Techniques," PhD thesis, Indian Institute of Technology Bombay, Mumbai, India. Downloadable at http://www.sc.iitb.ac.in/theses/phd_theses/sachin_thesis.zip