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

Advances in Operations Research

Cinthia Peraza^1¹  Fevrier Valdez^1² 

[1] Tijuana Institute of Technology, 22379 Tijuana, Mexico^1;UABC University, Tijuana, Mexico^2

DOI  :  10.1155/2018/3092872

学科分类：数学（综合）

来源: Hindawi Publishing Corporation

【 摘 要 】

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.

【 授权许可】

CC BY