A new fuzzy logic learning control scheme for repetitive trajectory tracking problems.
type: Item
instance of: scholarly article
title: A new fuzzy logic learning control scheme for repetitive trajectory tracking problems.
zbMATH Open document ID: 1090.93028
DOI: 10.1016/S0165-0114(02)00126-4
author: Jing Xu
author: Jian-Xin Xu
published in: Fuzzy Sets and Systems
publication date: 2003-04-28T00:00:00Z
review text: In this paper, the authors consider repeatable tracking control tasks using a new control approach-PD type fuzzy logic control (FLLC). FLLC integrates two main control strategies: fuzzy logic control as the basic conontrol part and learning control as the refinement part. The new FLLC is constructed by simply adding an iterative learning mechanism to a fuzzy PD controller. The incorporation of the learning function into fuzzy PD controllers ensures exact tracking because it completely nullifies the effects of reference signal and periodic disturbances on the tracking error. Through the rigorous proof based on energy function and functional analysis, the authors show that the proposed FLLC system achieves the following novel properties: (1) the tracking error sequence converges uniformly to zero; (2) learning control sequence converges to the desired control profile almost everywhere. Simulation work is presented to demonstrate the effectiveness of the proposed scheme.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93E35
zbMATH DE Number: 1902822
zbMATH Keywords: fuzzy logic control
zbMATH Keywords: learning control
zbMATH Keywords: PD control
zbMATH Keywords: repetitive tracking tasks
reviewed by: George S. Stavrakakis
MaRDI profile type: Publication
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full work available at URL: s0165-0114(02)00126-4
OpenAlex ID: W2019557420
description: scientific article; zbMATH DE number 1902822