Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems

This paper investigates the adaptive stabilization problem for a class of stochastic nonholonomic systems with strong drifts. By using input-state-scaling technique, backstepping recursive approach, and a parameter separation technique, we design an adaptive state feedback controller. Based on the s...

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Main Author: Xiaoyan Qin
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/658050
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author Xiaoyan Qin
author_facet Xiaoyan Qin
author_sort Xiaoyan Qin
collection DOAJ
description This paper investigates the adaptive stabilization problem for a class of stochastic nonholonomic systems with strong drifts. By using input-state-scaling technique, backstepping recursive approach, and a parameter separation technique, we design an adaptive state feedback controller. Based on the switching strategy to eliminate the phenomenon of uncontrollability, the proposed controller can guarantee that the states of closed-loop system are global bounded in probability.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-dfa45ac22b2d42cbad4c1aaad137731b2025-02-03T01:20:05ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/658050658050Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic SystemsXiaoyan Qin0College of Mathematics and Statistics, Zaozhuang University, Zaozhuang 277160, ChinaThis paper investigates the adaptive stabilization problem for a class of stochastic nonholonomic systems with strong drifts. By using input-state-scaling technique, backstepping recursive approach, and a parameter separation technique, we design an adaptive state feedback controller. Based on the switching strategy to eliminate the phenomenon of uncontrollability, the proposed controller can guarantee that the states of closed-loop system are global bounded in probability.http://dx.doi.org/10.1155/2013/658050
spellingShingle Xiaoyan Qin
Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems
Abstract and Applied Analysis
title Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems
title_full Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems
title_fullStr Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems
title_full_unstemmed Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems
title_short Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems
title_sort adaptive exponential stabilization for a class of stochastic nonholonomic systems
url http://dx.doi.org/10.1155/2013/658050
work_keys_str_mv AT xiaoyanqin adaptiveexponentialstabilizationforaclassofstochasticnonholonomicsystems