Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities

Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities

Robust adaptive tracking problems for a class of Markovian jump parametric-strict-feed-back systems with both parametric uncertainty and unknown nonlinearity are investigated. The unknown nonlinearities considered herein lie within some “bounding functions,” which are assumed to be partially known....

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Main Authors: Jin Zhu, Hong-Sheng Xi, Hai-Bo Ji, Bing Wang
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/DDNS/2006/92932
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spelling doaj-4941251f8973416fb3eabc9e831796b92020-11-24T22:59:39ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/9293292932Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearitiesJin Zhu0Hong-Sheng Xi1Hai-Bo Ji2Bing Wang3Department of Automation, University of Science and Technology of China (USTC), Hefei, Anhui 230027, ChinaDepartment of Automation, University of Science and Technology of China (USTC), Hefei, Anhui 230027, ChinaDepartment of Automation, University of Science and Technology of China (USTC), Hefei, Anhui 230027, ChinaDepartment of Automation, University of Science and Technology of China (USTC), Hefei, Anhui 230027, ChinaRobust adaptive tracking problems for a class of Markovian jump parametric-strict-feed-back systems with both parametric uncertainty and unknown nonlinearity are investigated. The unknown nonlinearities considered herein lie within some “bounding functions,” which are assumed to be partially known. By using a stochastic Lyapunov method and backstepping techniques, a parameter adaptive law and a control law were obtained, which guarantee that the tracking error could be within a small neighborhood around the origin in the sense of the fourth moment. Moreover, all signals of the closed-loop system could be globally uniformly ultimately bounded.http://dx.doi.org/10.1155/DDNS/2006/92932
collection DOAJ
language English
format Article
sources DOAJ
author Jin Zhu
Hong-Sheng Xi
Hai-Bo Ji
Bing Wang
spellingShingle Jin Zhu
Hong-Sheng Xi
Hai-Bo Ji
Bing Wang
Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities
Discrete Dynamics in Nature and Society
author_facet Jin Zhu
Hong-Sheng Xi
Hai-Bo Ji
Bing Wang
author_sort Jin Zhu
title Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities
title_short Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities
title_full Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities
title_fullStr Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities
title_full_unstemmed Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities
title_sort robust adaptive tracking for markovian jump nonlinear systems with unknown nonlinearities
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2006-01-01
description Robust adaptive tracking problems for a class of Markovian jump parametric-strict-feed-back systems with both parametric uncertainty and unknown nonlinearity are investigated. The unknown nonlinearities considered herein lie within some “bounding functions,” which are assumed to be partially known. By using a stochastic Lyapunov method and backstepping techniques, a parameter adaptive law and a control law were obtained, which guarantee that the tracking error could be within a small neighborhood around the origin in the sense of the fourth moment. Moreover, all signals of the closed-loop system could be globally uniformly ultimately bounded.
url http://dx.doi.org/10.1155/DDNS/2006/92932
work_keys_str_mv AT jinzhu robustadaptivetrackingformarkovianjumpnonlinearsystemswithunknownnonlinearities
AT hongshengxi robustadaptivetrackingformarkovianjumpnonlinearsystemswithunknownnonlinearities
AT haiboji robustadaptivetrackingformarkovianjumpnonlinearsystemswithunknownnonlinearities
AT bingwang robustadaptivetrackingformarkovianjumpnonlinearsystemswithunknownnonlinearities
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