Fuzzy adaptive asymptotic tracking of fractional order nonlinear systems with uncertain disturbances
type: Item
instance of: scholarly article
title: Fuzzy adaptive asymptotic tracking of fractional order nonlinear systems with uncertain disturbances
zbMATH Open document ID: 1505.93101
author: Jin-Zi Yang
author: Ming Wei
author: Yuan-Xin Li
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2022-10-25T00:00:00Z
review text: In the paper under consideration fractional order nonlinear systems (FONSs) with time-varying disturbance are investigated. The authors develop an adaptive tracking scheme for unknown virtual control coefficients. A key feature of the proposed adaptive control scheme is that the tracking error converges to zero asymptotically even in the presence of unknown nonlinear functions. This is obtained by the construction of a Lyapunov function introducing the lower bound of the control coefficient, which is important to guarantee the stability of the controlled system. Numerical simulations are provided in order to illustrate the obtained theoretical results.
reviewed by: Angela Slavova
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7606705
zbMATH Keywords: fractional order
zbMATH Keywords: nonlinear systems
zbMATH Keywords: fuzzy logic systems
zbMATH Keywords: asymptotic tracking control
zbMATH Keywords: adaptive control
MaRDI profile type: Publication
full work available at URL: dcdss.2021144
OpenAlex ID: W3215283546
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DOI: 10.3934/DCDSS.2021144
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description: scientific article; zbMATH DE number 7606705