# 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

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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