Fuzzy Dynamic Parameter Adaptation in the Harmony Search Algorithm for the Optimization of the Ball and Beam Controller

This paper presents a method for dynamic parameter adaptation in the harmony search algorithm (HS) based on fuzzy logic. The adaptation is performed using Type 1 (FHS), interval Type 2 (IT2FHS), and generalized Type 2 (GT2FHS) fuzzy systems as the number of improvisations or iterations advances, ach...

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Bibliographic Details
Published in:Advances in operations research 2018-01, Vol.2018 (2018), p.1-16
Main Authors: Castillo, Oscar, Castro, Juan R., Valdez, Fevrier, Peraza, Cinthia
Format: Article
Language:English
Subjects:
Adaptation
Algorithms
Controllers
Fuzzy logic
Fuzzy sets
Fuzzy systems
Harmony (Music)
Improvisation
Information science
Linguistics
Methods
Operations research
Optimization
Parameters
Random numbers
Search algorithms
Variables
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Summary:This paper presents a method for dynamic parameter adaptation in the harmony search algorithm (HS) based on fuzzy logic. The adaptation is performed using Type 1 (FHS), interval Type 2 (IT2FHS), and generalized Type 2 (GT2FHS) fuzzy systems as the number of improvisations or iterations advances, achieving a better intensification and diversification. The main contribution of this work is the dynamic parameter adaptation using different types of fuzzy systems in the harmony search algorithm applied to optimization of the membership functions for a benchmark control problem; in this case it is focused on the ball and beam controller. Experiments are presented with the HS, FHS, IT2FHS, and GT2FHS with noise (uniform random number) and without noise for the controller, and the following error metrics are obtained: ITAE, ITSE, IAE, ISE, and RMSE, to validate the efficacy of the proposed methods.
ISSN:1687-9147
1687-9155
DOI:10.1155/2018/3092872