FUZZY FREQUENCY RESPONSE FOR UNCERTAIN DYNAMIC SYSTEMS

Carlos Cesar Teixeira Ferreira, Ginalber Luiz de Oliveira Serra

Abstract

This paper focuses on the Fuzzy Frequency Response: Definition and Analysis for Uncertain Dynamic Systems. In terms of transfer function, the uncertain dynamic system is partitioned into several linear sub-models and it is organized into Takagi-Sugeno (TS) fuzzy structure. The main contribution of this approach is demonstrated, from a Theorem, that fuzzy frequency response is a boundary in the magnitude and phase Bode plots. Low and high frequency analysis of fuzzy dynamic model is obtained by varying the frequency w from zero to infinity.

References

  1. Bode, H. W. (1940). Feedback amplifier design. Bell Systems Technical Journal, 19:42.
  2. James, H. M., Nichols, N. B., and Phillips, R. S. (1947). Theory of servomechanisms. McGraw-Hill, MIT Radiation Laboratory Series. New York.
  3. Jr, A. P. S. (1973). Determination of aircraft response caracteristics in approach/landing configuration for microwave landing system program. In Report FT-61R73, Naval Air Test Center. Patuxent River, MD.
  4. Kolev, L. V. (1993). Interval methodsfor circuit analysis. Singapore: World Scienhfic.
  5. Lascu, C., Asiminoaei, L., Boldea, I., and Blaabjerg, F. (2009). Frequency response analysis of current controllers for selective harmonic compensation in active power filters. IEEE Transactions on Industrial Eletronics, 56(2).
  6. Nyquist, H. (1932). Regeneration theory. Bell Systems Technical Journal.
  7. Serra, G. L. O. and Ferreira, C. C. T. (2010). Fuzzy frequncy response: Definition and analysis for nonlinear dynamic systems. IEEE International Symposium on Industrial Electronics.
  8. Takagi, T. and Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man. Cyber, 15:116-132.
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Paper Citation


in Harvard Style

Cesar Teixeira Ferreira C. and Luiz de Oliveira Serra G. (2010). FUZZY FREQUENCY RESPONSE FOR UNCERTAIN DYNAMIC SYSTEMS . In Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8425-00-3, pages 209-212. DOI: 10.5220/0002815402090212


in Bibtex Style

@conference{icinco10,
author={Carlos Cesar Teixeira Ferreira and Ginalber Luiz de Oliveira Serra},
title={FUZZY FREQUENCY RESPONSE FOR UNCERTAIN DYNAMIC SYSTEMS},
booktitle={Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2010},
pages={209-212},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002815402090212},
isbn={978-989-8425-00-3},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - FUZZY FREQUENCY RESPONSE FOR UNCERTAIN DYNAMIC SYSTEMS
SN - 978-989-8425-00-3
AU - Cesar Teixeira Ferreira C.
AU - Luiz de Oliveira Serra G.
PY - 2010
SP - 209
EP - 212
DO - 10.5220/0002815402090212