Computation of QFT Bounds for Robust Sensitivity and Gain-Phase Margin Specifications

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

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

J. Dyn. Sys., Meas., Control 122(3), 528-534 (Feb 03, 1999) (7 pages) doi:10.1115/1.1286867 History: Received February 03, 1999
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.


Horowitz,  I., 1991, “Survey of Quantitative Feedback Theory (QFT),” Int. J. Control, 53, No. 2, pp. 255–291.
Brown, M., and Petersen, I., 1991, “Exact computation of the Horowitz bound for interval plants,” Proc. of 30th IEEE Conf. on Decision and Control, pp. 2268–2273.
Fialho, I. J., Pande, V., and Nataraj, P. S. V., 1992, “Design of feedback systems using Kharitonov’s segments in Quantitative Feedback Theory,” Proc. First QFT Symposium, pp. 457–470, Dayton, Ohio.
Zhao,  Y., and Jaisuriya,  S., 1994, “On generation of QFT bounds for general interval plants,” ASME J. Dyn. Syst., Meas., Control, 116, No. 4, pp. 618–627.
Bailey,  F. N., Panzer,  D., and Gu,  G., 1988, “Two algorithms for frequency domain design of robust control systems,” Int. J. Control, 48, No. 5, pp. 1787–1806.
East,  D. J., 1981, “A new approach to optimum loop synthesis,” Int. J. Control, 34, No. 4, pp. 731–748.
Houpis, C. H., and Lamount, G. B., 1988, ICECAP-QFT Users Mannual, Wright-Patterson AFB.
Longdon,  L., and East,  D. J., 1979, “A simple geometrical technique for determining loop frequency bounds which achieve prescribed sensitivity specifications,” Int. J. Control, 80, No. 1, pp. 153–158.
Nataraj, P. S. V., 1994, “A MATLAB based toolbox for synthesis of lumped linear and nonlinear and distributed systems,” IEEE/IFAC Symposium on Computer Aided Control System Design, pp. 513–518, Tucson, AZ.
Wang, G. C., Chen, C. W., and Wang, S. H., 1991, “Equation for Loop Bound in Quantitative Feedback Theory,” Proc. IEEE Conf. Decision and Control, pp. 2968–2969, England.
Yaniv, O., 1990, QFT Software, Tel-Aviv University, Israel.
Chait,  Y., Berghesani,  C., and Zheng,  Y., 1995, “Single loop/QFT design for robust performance in the presence of non-parametric uncertainties,” ASME J. Dyn. Syst., Meas., Control, 117, pp. 420–424.
Chait,  Y., and Yaniv,  O., 1993, “Multi-input/single-output computer-aided control design using the quantitative feedback theory,” Int. J. Robust. Nonlinear Control, 3, No. 1, pp. 47–54.
Rodrigues,  J. M., Chait,  Y., and Hollot,  C. V., 1997, “An efficient algorithm for computing QFT bounds,” ASME J. Dyn. Syst., Meas., Control, 119, No. 3, pp. 548–552.
Yaniv,  O., and Chait,  Y., 1993, “Direct control design in sampled-data uncertain systems,” Automatica, 29, No. 2, pp. 365–372.
Sardar, G., and Nataraj, P. S. V., 1997, “A Template Generation Algorithm for Non-rational Transfer Functions in QFT Designs,” Proc. 36th IEEE Conf. Decision and Control, pp. 2684–2689, San Diego, CA.
Nataraj,  P. S. V., and Sardar,  G., 2000, “Template generation for continuous transfer functions using interval analysis,” Automatica, 36, pp. 111–119.
Borghesani, C., Chait, Y., and O. Yaniv, 1995, The Quantitative Feedback Theory Toolbox for MATLAB, The MathWorks, MA.
Klatte, R., Kulisch, U., Neaga, M., Ratz, D., and Ullrich, C., 1993, PASCAL-XSC Language Reference with Examples, Springer-Verlag, Berlin, Heidelberg.
Moore, R., 1979, Methods and Applications of Interval Analysis, SIAM, Philadelphia.


Grahic Jump Location
Gbnd for plant family in Example 1. The dots are template points generated using simple gridding. ω=1.
Grahic Jump Location
Robust sensitivity bounds on L0(jω) generated using Algorithm SRI . A controller phase interval of 5 deg is used. The dotted lines are bounds obtained using the QFT Toolbox.
Grahic Jump Location
Robust gain-phase margin bounds on L0(jω) generated using Algorithm RSBI . A controller phase interval of 5 deg is used. The dotted lines are bounds obtained using the QFT Toolbox.




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In