Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric Uncertainties

Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric Uncertainties

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 u...

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Main Authors: Meng-Meng Jiang, Xue-Jun Xie
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2016/5702182
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spelling doaj-152ca6192fc54f74909dbad3d147c8332020-11-24T21:06:47ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472016-01-01201610.1155/2016/57021825702182Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric UncertaintiesMeng-Meng Jiang0Xue-Jun Xie1Institute of Automation, Qufu Normal University, Shandong 273165, ChinaInstitute of Automation, Qufu Normal University, Shandong 273165, ChinaUnder 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.http://dx.doi.org/10.1155/2016/5702182
collection DOAJ
language English
format Article
sources DOAJ
author Meng-Meng Jiang
Xue-Jun Xie
spellingShingle Meng-Meng Jiang
Xue-Jun Xie
Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric Uncertainties
Mathematical Problems in Engineering
author_facet Meng-Meng Jiang
Xue-Jun Xie
author_sort Meng-Meng Jiang
title Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric Uncertainties
title_short Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric Uncertainties
title_full Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric Uncertainties
title_fullStr Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric Uncertainties
title_full_unstemmed Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric Uncertainties
title_sort adaptive finite-time stabilization of high-order nonlinear systems with dynamic and parametric uncertainties
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2016-01-01
description 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.
url http://dx.doi.org/10.1155/2016/5702182
work_keys_str_mv AT mengmengjiang adaptivefinitetimestabilizationofhighordernonlinearsystemswithdynamicandparametricuncertainties
AT xuejunxie adaptivefinitetimestabilizationofhighordernonlinearsystemswithdynamicandparametricuncertainties
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