Observer-based robust controller design for nonlinear fractional-order uncertain systems via LMI
type: Item
instance of: scholarly article
title: Observer-based robust controller design for nonlinear fractional-order uncertain systems via LMI
zbMATH Open document ID: 1426.93112
DOI: 10.1155/2017/8217126
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: We discuss the observer-based robust controller design problem for a class of nonlinear fractional-order uncertain systems with admissible time-variant uncertainty in the case of the fractional-order satisfying \(0 < \alpha < 1\). Based on direct Lyapunov approach, a sufficient condition for the robust asymptotic stability of the observer-based nonlinear fractional-order uncertain systems is presented. Employing Finsler's Lemma, the systematic robust stabilization design algorithm is then proposed in terms of linear matrix inequalities (LMIs). The efficiency and advantage of the proposed algorithm are finally illustrated by two numerical simulations.
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93D21
zbMATH DE Number: 6972550
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/8217126
OpenAlex ID: W2746734155
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description: scientific article; zbMATH DE number 6972550