Variable structure control with chattering reduction of a generalized T-S model

Al-Hadithi, Basil M. and Jiménez Avello, Agustín and Matía Espada, Fernando (2013). Variable structure control with chattering reduction of a generalized T-S model. "Asian Journal of Control", v. 15 (n. 1); pp. 155-168. ISSN 1934-6093. https://doi.org/10.1002/asjc.518.

Description

Title: Variable structure control with chattering reduction of a generalized T-S model
Author/s:
  • Al-Hadithi, Basil M.
  • Jiménez Avello, Agustín
  • Matía Espada, Fernando
Item Type: Article
Título de Revista/Publicación: Asian Journal of Control
Date: January 2013
ISSN: 1934-6093
Volume: 15
Subjects:
Freetext Keywords: Nonlinear systems; fuzzy systems; Takagi-Sugeno fuzzy model; variable structure control; parameters’ weighting method
Faculty: E.U.I.T. Industrial (UPM)
Department: Electrónica, Automática e Informática Industrial [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this paper, a fuzzy logic controller (FLC) based variable structure control (VSC) is presented. The main objective is to obtain an improved performance of highly non-linear unstable systems. New functions for chattering reduction and error convergence without sacrificing invariant properties are proposed. The main feature of the proposed method is that the switching function is added as an additional fuzzy variable and will be introduced in the premise part of the fuzzy rules; together with the state variables. In this work, a tuning of the well known weighting parameters approach is proposed to optimize local and global approximation and modelling capability of the Takagi-Sugeno (T-S) fuzzy model to improve the choice of the performance index and minimize it. The main problem encountered is that the T-S identification method can not be applied when the membership functions are overlapped by pairs. This in turn restricts the application of the T-S method because this type of membership function has been widely used in control applications. The approach developed here can be considered as a generalized version of the T-S method. An inverted pendulum mounted on a cart is chosen to evaluate the robustness, effectiveness, accuracy and remarkable performance of the proposed estimation approach in comparison with the original T-S model. Simulation results indicate the potential, simplicity and generality of the estimation method and the robustness of the chattering reduction algorithm. In this paper, we prove that the proposed estimation algorithm converge the very fast, thereby making it very practical to use. The application of the proposed FLC-VSC shows that both alleviation of chattering and robust performance are achieved.

More information

Item ID: 26806
DC Identifier: http://oa.upm.es/26806/
OAI Identifier: oai:oa.upm.es:26806
DOI: 10.1002/asjc.518
Official URL: http://onlinelibrary.wiley.com/doi/10.1002/asjc.518/full
Deposited by: Memoria Investigacion
Deposited on: 30 May 2014 08:21
Last Modified: 01 Mar 2016 13:21
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