Robust observer-based feedback control for Lipschitz singularly perturbed systems
type: Item
instance of: scholarly article
title: Robust observer-based feedback control for Lipschitz singularly perturbed systems
zbMATH Open document ID: 1394.93187
DOI: 10.1155/2015/585301
author: Wei Liu
author: Yanyan Wang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The observer-based feedback control for singularly perturbed systems (SPSs) with Lipschitz constraint is addressed. A sufficient condition, independent of the perturbation parameter, for a full-order observer is presented in terms of linear matrix inequality (LMI) such that observation error is exponentially stable for all sufficiently small perturbation parameters. Then, for observer-based feedback control, a proper controller is constructed to guarantee the input-to-state stability of the system with regard to the observation error. Considering the convergence of observation error, the stability of the system can be obtained based on the input-to-state stability property. It is shown that the proposed method is simple and easy to operate. Moreover, the upper bound of the small perturbation parameter for stability of systems can be explicitly estimated with a workable computation way. Finally, two numerical examples show the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93C70
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 6926717
Wikidata QID: Q59119475
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/585301
OpenAlex ID: W1573850132
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description: scientific article; zbMATH DE number 6926717