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TECHNICAL PAPERS

Template Generation Algorithm Using Vectorized Function Evaluations and Adaptive Subdivisions

[+] Author and Article Information
P. S. V. Nataraj, S. Sheela

Systems and Control Engineering Group, Department of Electrical Engineering, Indian Institute of Technology, Bombay 400 076 India

J. Dyn. Sys., Meas., Control 124(4), 585-588 (Dec 16, 2002) (4 pages) doi:10.1115/1.1514055 History: Received July 01, 2001; Revised April 01, 2002; Online December 16, 2002
Copyright © 2002 by ASME
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References

Horowitz, I. M., 1993, Quantitative Feedback Design Theory (QFT), QFT Publications, Boulder, CO.
Boje,  E., 2000, “Finding Nonconvex Hulls of QFT Templates,” ASME J. Dyn. Syst., Meas., Control, 122, pp. 230–231.
Chen,  W., and Ballance,  D. J., 1999, “Plant Template Generation for Uncertain Plants in QFT,” ASME J. Dyn. Syst., Meas., Control, 121, pp. 359–364.
Lasky,  T. A., and Ravani,  B., 1997, “Use of Convex Hulls for Plant Template Approximation in QFT Design,” ASME J. Dyn. Syst., Meas., Control, 119(3), pp. 598–600.
Nataraj,  P. S. V., and Sardar,  G., 2000, “Template Generation for Continuous Transfer Functions Using Interval Analysis,” Automatica, 36, pp. 111–119.
Sardar, G., and Nataraj, P. S. V., 1997, “A Template Generation Algorithm for Non-Rational Transfer Functions in QFT Designs,” Proc. of 36th IEEE Conf. Decision and Control, San Diego, pp. 2684–2689.
Moore, R. E., 1979, Methods and Applications of Interval Analysis, SIAM, Philadelphia.
Rump, S. M., 1999, “INTLAB - Interval Laboratory,” Developments in Reliable Computing, T. Csendes, ed., Kluwer Academic Publishers.
Rall, L. B., 1981, Automatic Differentiation, Techniques and Applications, Lecture Notes in Computer Science, No. 120, Springer-Verlag, Berlin.
Kearfott,  R. B., 1987, “Some Tests of Generalized Bisection,” ACM Transactions on Mathematical Software, 13(3), pp. 197–220.
Kearfott,  R. B., 1987, “Abstract Generalized Bisection and a Cost Bound,” Math. Comput., 49(179), pp. 187–202.
Klatte, R., Kulisch, U., Neaga, M., Ratz, D., and Ullrich, Ch., 1993, PASCAL-XSC Language Reference With Examples, Springer-Verlag, Berlin, Heidelberg.
Rodrigues,  J. M., Chait,  Y., and Hollot,  C. V., 1997, “An Efficient Algorithm for Computing QFT Bounds,” ASME J. Dyn. Syst., Meas., Control, 119(3), pp. 548–552.

Figures

Grahic Jump Location
Template for Example 4.1 generated using the proposed algorithm (only the outermost boundary is shown).

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