AUTOMATIC ESTIMATION OF PARAMETERS FOR THE HIERARCHICAL REDUCTION OF RULES OF COMPLEX FUZZY CONTROLLERS

Yulia Ledeneva, Carlos A. Reyes-García, Alejandro Díaz-Méndez

2007

Abstract

The application of fuzzy control to large-scale complex systems is not a trivial task. For such systems the number of the fuzzy IF-THEN rules exponentially explodes. If we have m linguistic properties for each of n variables, we will have mn rules combinations of input values. Large-scale systems require special approaches for modelling and control. In our work the system’s hierarchical structure is studied in an attempt to reduce the size of the inference engine for large-scale systems. This method reduces the number of rules considerably. But, in order to do so, the adequate parameters should be estimated, which, in the traditional way, depends on the experience and knowledge of a skilled operator. In this work, we are proposing a method to automatically estimate the corresponding parameters for the hierarchical rule base reduction method to be applied to fuzzy control complex systems. In our approach, the parameters of the hierarchical structure are found through the use of genetic algorithms. The implementation process, the simulation experiments and some results are presented.

Paper Citation

in Harvard Style

Ledeneva Y., A. Reyes-García C. and Díaz-Méndez A. (2007). AUTOMATIC ESTIMATION OF PARAMETERS FOR THE HIERARCHICAL REDUCTION OF RULES OF COMPLEX FUZZY CONTROLLERS . In Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-972-8865-82-5, pages 398-401. DOI: 10.5220/0001630603980401

in Bibtex Style

@conference{icinco07,
author={Yulia Ledeneva and Carlos A. Reyes-García and Alejandro Díaz-Méndez},
title={AUTOMATIC ESTIMATION OF PARAMETERS FOR THE HIERARCHICAL REDUCTION OF RULES OF COMPLEX FUZZY CONTROLLERS},
booktitle={Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2007},
pages={398-401},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001630603980401},
isbn={978-972-8865-82-5},
}

in EndNote Style

TY - CONF
JO - Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - AUTOMATIC ESTIMATION OF PARAMETERS FOR THE HIERARCHICAL REDUCTION OF RULES OF COMPLEX FUZZY CONTROLLERS
SN - 978-972-8865-82-5
AU - Ledeneva Y.
AU - A. Reyes-García C.
AU - Díaz-Méndez A.
PY - 2007
SP - 398
EP - 401
DO - 10.5220/0001630603980401