Adaptive finite-time stabilization of high-order nonlinear systems with dynamic and parametric uncertainties
type: Item
instance of: scholarly article
title: Adaptive finite-time stabilization of high-order nonlinear systems with dynamic and parametric uncertainties
zbMATH Open document ID: 1400.93273
DOI: 10.1155/2016/5702182
author: Meng-Meng Jiang
author: Xue-Jun Xie
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: Under the weaker assumption on nonlinear functions, the adaptive finite-time stabilization of more general high-order nonlinear systems with dynamic and parametric uncertainties is solved in this paper. To solve this problem, finite-time input-to-state stability (FTISS) is used to characterize the unmeasured dynamic uncertainty. By skillfully combining Lyapunov function, sign function, backstepping, and finite-time input-to-state stability approaches, an adaptive state feedback controller is designed to guarantee high-order nonlinear systems are globally finite-time stable.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 6953350
Wikidata QID: Q59131669
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/5702182
OpenAlex ID: W2510875612
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description: scientific article; zbMATH DE number 6953350