Basics of SISO Feedback Controlled Systems

  • Oded Yaniv
Chapter
Part of the The Springer International Series in Engineering and Computer Science book series (SECS, volume 509)

Abstract

In this chapter we present the basic properties of single-input single-output feedback systems without considering robustness issues. First the notion of gain margin, phase margin, bandwidth and cross-over frequencies are defined and discussed. Then it is explained why it is so important to decrease the controller bandwidth and in this regard the high-frequency-gain is defined.

Keywords

Open Loop Plant Output Sensor Noise Phase Margin Crossover Frequency 
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Notes and References

  1. D’Azzo, J., and Houpis, C.H., Linear Control System Analysis and Design Conventional and Modern, 3rd ed., McGraw-Hill, New York, 1988.Google Scholar
  2. Skogestad, S., and Postlethwaite, I., Multivariable Feedback Control, Wiley, New York, 1996.Google Scholar
  3. Bossert, D.E., Lamont, G.B, Leahy, M.B, and Horowitz, I., Model-Based Control With Quantitative Feedback Theory; Empirical Model Analysis, Proceedings of the 29th IEEE Conference on Decision and Control, Honolulu, HI, USA, 5–7 Dec., 1990, Vol. 3, pp. 1974–5.Google Scholar
  4. Pritchard, C.J., and Wigdorowitz, B., On the Determination of Time-Domain Signal Levels at the Specification Stage in Quantitative Feedback Theory Controller Synthesis, International Journal of Control, Vol. 66, no. 2, 1997, pp. 329–348.MathSciNetMATHCrossRefGoogle Scholar
  5. Sidi, M., Feedback Synthesis with Plant Ignorance, Non-Minimum Phase, and Time-Domain Tolerances, Automatica, Vol. 12, 1976, pp. 265–271.CrossRefGoogle Scholar
  6. Horowitz, I., and Sidi, M., Synthesis of Feedback Systems with Large Plant Ignorance for Prescribed Time Domain Tolerances, International Journal of Control, Vol. 16, no. 2, 1972, pp. 287–309.MATHCrossRefGoogle Scholar
  7. Sidi, M., On Maximization of Gain-Bandwidth in Sampled Systems, International Journal of Control Vol. 32, 1980, pp. 1099–1109.MATHCrossRefGoogle Scholar
  8. Horowitz, I., and Y. Liau, Y., Limitations of Non-Minimum Phase Feedback Systems, International Journal of Control, Vol. 40, no. 5, 1984, pp. 1003–1015.MathSciNetMATHCrossRefGoogle Scholar
  9. Francis, A.F., and Zames, G., On Hoc-Optimal Sensitivity Theory for SISO Feedback Systems, IEEE Transactions on Automatic Control, Vol. 29, no. 1, 1984, pp. 9–16.MathSciNetMATHCrossRefGoogle Scholar
  10. Freudenberg, J.S., and Looze, D.P., Right Half Plane Poles and Zeros and Design Tradeoffs in Feedback Systems, IEEE Transactions on Automatic Control, Vol. 30, no. 6, 1985, pp. 555–565.MathSciNetMATHCrossRefGoogle Scholar
  11. Freudenberg, J.S., and Looze, D.P., A Sensitivity Tradeoff for Plants with Time Delay, IEEE Transactions on Automatic Control, Vol 32, no. 2, 1987, pp. 99–104.MathSciNetMATHCrossRefGoogle Scholar
  12. Middleton, R.H., Trade-offs in Linear Control System Design, Automatica, Vol. 27, no. 2, 1991, pp. 281–292.MathSciNetMATHCrossRefGoogle Scholar
  13. Maciejowski, J.M., Multivariable Feedback Design, Addison Wesley, New York, 1990.Google Scholar
  14. Gera, A., and Horowitz, I., Optimization of the Loop Transfer Function, International Journal of Control, Vol. 31, no. 2, 1980, pp. 389–398.MathSciNetMATHCrossRefGoogle Scholar
  15. Bailey, F., Hui, C., and Punyko, A., The Loop Gain-Phase Design Programs, QFT Symposium, Flight Dynamic Directorate, Wright Laboratory, Air-Force System Command, Wright Patterson Air-Force Base, OHIO, WL-TR-923063, 1992 pp. 565–574.Google Scholar
  16. Chait, Y., QFT Loop Shaping and Minimization of the High-frequency Gain Via Convex Optimization, Symposium on Quantitative Feedback Theory and Other Frequency Domain Methods and Applications, University of StrathClyde, August 21–22, 1997, pp. 13–27.Google Scholar
  17. Thompson, D.F., and Nwokah, O.D.I., Analytic Loop Shaping Methods in Quantitative Feedback Theory, Transactions of the ASME, Journal of Dynamic Systems, Measurement and Control, Vol. 116, no. 2, June 1994, pp.169–77.Google Scholar

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Oded Yaniv
    • 1
  1. 1.Faculty of EngineeringTel Aviv UniversityIsrael

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