An easily understandable grey wolf optimizer and its application to fuzzy controller tuning
type: Item
instance of: scholarly article
title: An easily understandable grey wolf optimizer and its application to fuzzy controller tuning
zbMATH Open document ID: 1461.93282
author: Radu-Emil Precup
author: Alexandra-Iulia Szedlak-Stinean
author: Emil M. Petriu
author: Florin Dragan
author: Radu-Codruţ David
published in: Algorithms
publication date: 2018-08-20T00:00:00Z
review text: Summary: This paper proposes an easily understandable Grey Wolf Optimizer (GWO) applied to the optimal tuning of the parameters of Takagi-Sugeno proportional-integral fuzzy controllers (T-S PI-FCs). GWO is employed for solving optimization problems focused on the minimization of discrete-time objective functions defined as the weighted sum of the absolute value of the control error and of the squared output sensitivity function, and the vector variable consists of the tuning parameters of the T-S PI-FCs. Since the sensitivity functions are introduced with respect to the parametric variations of the process, solving these optimization problems is important as it leads to fuzzy control systems with a reduced process parametric sensitivity obtained by a GWO-based fuzzy controller tuning approach. GWO algorithms applied with this regard are formulated in easily understandable terms for both vector and scalar operations, and discussions on stability, convergence, and parameter settings are offered. The controlled processes referred to in the course of this paper belong to a family of nonlinear servo systems, which are modeled by second order dynamics plus a saturation and dead zone static nonlinearity. Experimental results concerning the angular position control of a laboratory servo system are included for validating the proposed method.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 90C59
zbMATH DE Number: 6920654
zbMATH Keywords: grey wolf optimizer
zbMATH Keywords: Takagi-Sugeno proportional-integral fuzzy controllers
zbMATH Keywords: process parametric sensitivity
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: parameter settings
zbMATH Keywords: angular position
describes a project that uses: GWO
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/a10020068
OpenAlex ID: W2622310785
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DOI: 10.3390/A10020068
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description: scientific article; zbMATH DE number 6920654