Design of a multi-layer fuzzy logic controller for multi-input multi-output systems
type: Item
instance of: scholarly article
title: Design of a multi-layer fuzzy logic controller for multi-input multi-output systems
zbMATH Open document ID: 0976.93048
DOI: 10.1016/S0165-0114(97)00410-7
author: Kuo-Yang Tu
author: Tsu-Tian Lee
author: Wen-Jieh Wang
published in: Fuzzy Sets and Systems
publication date: 2002-01-08T00:00:00Z
review text: The authors propose a multi-layer fuzzy logic controller (MLFLC) for multi-input-multi-output (MIMO) systems. For the convenience of analysis, the structure of the multi-layer fuzzy logic controller is divided into multi-input-single-output (MISO) controllers. Each multi-input-single-output controller consists of many fuzzy logic controllers (FLC). In the fuzzy logic controller the linguistic rules are designed as a suction controller. A theorem shows that such a fuzzy logic controller has a switching line. The results of analysis show that the multi-layer fuzzy logic controller has a switching manifold and its parameters are the scaling factors, which normalize the input variables. Moreover, a theorem which shows the stability of the proposed multi-layer fuzzy logic controller can easily be formulated by properly selecting the denormalizing scaling factors. A cart-pole system with two links is used as an illustrated example for demonstration. The illustrations also include links controlled to track a set of desired trajectories. Simulation results show that the fuzzy control system is asymptotically stable, and the desired trajectories can be followed very closely.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93B12
zbMATH DE Number: 1436995
zbMATH Keywords: fuzzy sliding mode control
zbMATH Keywords: tracking
zbMATH Keywords: MISO
zbMATH Keywords: fuzzy logic controller
zbMATH Keywords: switching manifold
zbMATH Keywords: stability
zbMATH Keywords: denormalizing scaling factors
zbMATH Keywords: cart-pole system
reviewed by: George S. Stavrakakis
MaRDI profile type: Publication
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Wikidata QID: Q127488112
full work available at URL: s0165-0114(97)00410-7
OpenAlex ID: W2009368562
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description: scientific article; zbMATH DE number 1436995