A new approach to fuzzy estimation of Takagi-Sugeno model and its applications to optimal control for nonlinear systems

Al-Hadithi, Basil M. and Jiménez Avello, Agustín and Matía Espada, Fernando (2012). A new approach to fuzzy estimation of Takagi-Sugeno model and its applications to optimal control for nonlinear systems. "Applied Soft Computing", v. 12 (n. 1); pp. 280-290. ISSN 1568-4946. https://doi.org/10.1016/j.asoc.2011.08.044.

Description

Title: A new approach to fuzzy estimation of Takagi-Sugeno model and its applications to optimal control for nonlinear systems
Author/s:
  • Al-Hadithi, Basil M.
  • Jiménez Avello, Agustín
  • Matía Espada, Fernando
Item Type: Article
Título de Revista/Publicación: Applied Soft Computing
Date: January 2012
ISSN: 1568-4946
Volume: 12
Subjects:
Freetext Keywords: Nonlinear systems, Dynamics, Fuzzy systems, Modeling, Fuzzy control
Faculty: E.U.I.T. Industrial (UPM)
Department: Electrónica, Automática e Informática Industrial [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (6MB) | Preview

Abstract

An efficient approach is presented to improve the local and global approximation and modelling capability of Takagi-Sugeno (T-S) fuzzy model. The main aim is obtaining high function approximation accuracy. The main problem is that T-S identification method cannot be applied when the membership functions are overlapped by pairs. This restricts the use of the T-S method because this type of membership function has been widely used during the last two decades in the stability, controller design and are popular in industrial control applications. The approach developed here can be considered as a generalized version of T-S method with optimized performance in approximating nonlinear functions. A simple approach with few computational effort, based on the well known parameters' weighting method is suggested for tuning T-S parameters to improve the choice of the performance index and minimize it. A global fuzzy controller (FC) based Linear Quadratic Regulator (LQR) is proposed in order to show the effectiveness of the estimation method developed here in control applications. Illustrative examples of an inverted pendulum and Van der Pol system are chosen to evaluate the robustness and remarkable performance of the proposed method and the high accuracy obtained in approximating nonlinear and unstable systems locally and globally in comparison with the original T-S model. Simulation results indicate the potential, simplicity and generality of the algorithm.

More information

Item ID: 16302
DC Identifier: http://oa.upm.es/16302/
OAI Identifier: oai:oa.upm.es:16302
DOI: 10.1016/j.asoc.2011.08.044
Official URL: http://www.sciencedirect.com/science/article/pii/S1568494611003279
Deposited by: Memoria Investigacion
Deposited on: 10 Oct 2013 11:57
Last Modified: 01 Mar 2016 14:06
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM