Tuning of a TS Fuzzy Output Regulator Using the Steepest Descent Approach and ANFIS

The exact output regulation problem for Takagi-Sugeno (TS) fuzzy models, designed from linear local subsystems, may have a solution if input matrices are the same for every local linear subsystem. Unfortunately, such a condition is difficult to accomplish in general. Therefore, in this work, an adap...

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Bibliographic Details
Published in:Mathematical problems in engineering 2013-01, Vol.2013 (2013), p.1-14
Main Authors: Hernández-Cortés, Tonatiuh, Alcántara-Montes, Samuel, Meda-Campaña, Jesús Alberto, Tapia-Herrera, Ricardo, Salgado-Conrado, Lizbeth
Format: Article
Language:English
Subjects:
Adaptive systems
Closed loop systems
Control
Control theory
Design
Distance learning
Fuzzy control
Fuzzy logic
Fuzzy sets
Fuzzy systems
International conferences
Inverse problems
Mathematical analysis
Matrix methods
Neural networks
Partial differential equations
Regulators
Steepest descent method
Tuning
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Summary:The exact output regulation problem for Takagi-Sugeno (TS) fuzzy models, designed from linear local subsystems, may have a solution if input matrices are the same for every local linear subsystem. Unfortunately, such a condition is difficult to accomplish in general. Therefore, in this work, an adaptive network-based fuzzy inference system (ANFIS) is integrated into the fuzzy controller in order to obtain the optimal fuzzy membership functions yielding adequate combination of the local regulators such that the output regulation error in steady-state is reduced, avoiding in this way the aforementioned condition. In comparison with the steepest descent method employed for tuning fuzzy controllers, ANFIS approximates the mappings between local regulators with membership functions which are not necessary known functions as Gaussian bell (gbell), sigmoidal, and triangular membership functions. Due to the structure of the fuzzy controller, Levenberg-Marquardt method is employed during the training of ANFIS.
ISSN:1024-123X
1563-5147
DOI:10.1155/2013/873430