Robust observer design for Sugeno systems with incremental quadratic nonlinearity in the consequent

Hoda Moodi; Mohammad Farrokhi

International Journal of Applied Mathematics and Computer Science (2013)

  • Volume: 23, Issue: 4, page 711-723
  • ISSN: 1641-876X

Abstract

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This paper is concerned with observer design for nonlinear systems that are modeled by T-S fuzzy systems containing parametric and nonparametric uncertainties. Unlike most Sugeno models, the proposed method contains nonlinear functions in the consequent part of the fuzzy IF-THEN rules. This will allow modeling a wider class of systems with smaller modeling errors. The consequent part of each rule contains a linear part plus a nonlinear term, which has an incremental quadratic constraint. This constraint relaxes the conservativeness introduced by other regular constraints for nonlinearities such as the Lipschitz conditions. To further reduce the conservativeness, a nonlinear injection term is added to the observer dynamics. Simulation examples show the effectiveness of the proposed method compared with the existing techniques reported in well-established journals.

How to cite

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Hoda Moodi, and Mohammad Farrokhi. "Robust observer design for Sugeno systems with incremental quadratic nonlinearity in the consequent." International Journal of Applied Mathematics and Computer Science 23.4 (2013): 711-723. <http://eudml.org/doc/262484>.

@article{HodaMoodi2013,
abstract = {This paper is concerned with observer design for nonlinear systems that are modeled by T-S fuzzy systems containing parametric and nonparametric uncertainties. Unlike most Sugeno models, the proposed method contains nonlinear functions in the consequent part of the fuzzy IF-THEN rules. This will allow modeling a wider class of systems with smaller modeling errors. The consequent part of each rule contains a linear part plus a nonlinear term, which has an incremental quadratic constraint. This constraint relaxes the conservativeness introduced by other regular constraints for nonlinearities such as the Lipschitz conditions. To further reduce the conservativeness, a nonlinear injection term is added to the observer dynamics. Simulation examples show the effectiveness of the proposed method compared with the existing techniques reported in well-established journals.},
author = {Hoda Moodi, Mohammad Farrokhi},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {nonlinear Sugeno model; incremental quadratic constraint; robust observer},
language = {eng},
number = {4},
pages = {711-723},
title = {Robust observer design for Sugeno systems with incremental quadratic nonlinearity in the consequent},
url = {http://eudml.org/doc/262484},
volume = {23},
year = {2013},
}

TY - JOUR
AU - Hoda Moodi
AU - Mohammad Farrokhi
TI - Robust observer design for Sugeno systems with incremental quadratic nonlinearity in the consequent
JO - International Journal of Applied Mathematics and Computer Science
PY - 2013
VL - 23
IS - 4
SP - 711
EP - 723
AB - This paper is concerned with observer design for nonlinear systems that are modeled by T-S fuzzy systems containing parametric and nonparametric uncertainties. Unlike most Sugeno models, the proposed method contains nonlinear functions in the consequent part of the fuzzy IF-THEN rules. This will allow modeling a wider class of systems with smaller modeling errors. The consequent part of each rule contains a linear part plus a nonlinear term, which has an incremental quadratic constraint. This constraint relaxes the conservativeness introduced by other regular constraints for nonlinearities such as the Lipschitz conditions. To further reduce the conservativeness, a nonlinear injection term is added to the observer dynamics. Simulation examples show the effectiveness of the proposed method compared with the existing techniques reported in well-established journals.
LA - eng
KW - nonlinear Sugeno model; incremental quadratic constraint; robust observer
UR - http://eudml.org/doc/262484
ER -

References

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