Novel fuzzy-modeling-based adaptive synchronization of nonlinear dynamic systems
type: Item
instance of: scholarly article
title: Novel fuzzy-modeling-based adaptive synchronization of nonlinear dynamic systems
zbMATH Open document ID: 1367.93334
DOI: 10.1155/2017/5017127
author: Shih-Yu Li
author: Chin-Sheng Chen
author: Lap-Mou Tam
author: Shun-Hung Tsai
published in: Complexity
publication date: 2017-08-03T00:00:00Z
review text: Summary: In this paper, a novel fuzzy-model-based adaptive synchronization scheme and its fuzzy update laws of parameters are proposed to address the adaptive synchronization problem. The proposed fuzzy controller does not share the same premise of fuzzy system, and the numbers of fuzzy controllers is reduced effectively through the novel modeling strategy. In addition, based on the adaptive synchronization scheme, the error dynamic system can be guaranteed to be asymptotically stable and the true values of unknown parameters can be obtained. Two identical complicated dynamic systems, Mathieu-Van der Pol system (M-V system) with uncertainties, are illustrated for numerical simulation example to show the effectiveness and feasibility of the proposed novel adaptive control strategy.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 34H05
zbMATH DE Number: 6755980
zbMATH Keywords: fuzzy-modeling-based adaptive synchronization
zbMATH Keywords: nonlinear dynamic systems
zbMATH Keywords: fuzzy controller
zbMATH Keywords: asymptotic stability
zbMATH Keywords: Mathieu-Van der Pol system (M-V system)
Wikidata QID: Q59142908
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/5017127
OpenAlex ID: W2592006895
cites work: Fuzzy identification of systems and its applications to modeling and control
cites work: ResilientH∞sliding mode control for discrete-time descriptor fuzzy systems with multiple time delays
cites work: Stability criteria for continuous‐time systems with additive time‐varying delays
cites work: \(H_{\infty}\) stabilization criterion with less complexity for nonuniform sampling fuzzy systems
cites work: Chaos control of new Mathieu-Van der Pol systems with new Mathieu-Duffing systems as functional system by GYC partial region stability theory
description: scientific article; zbMATH DE number 6755980