Direct Adaptive Tracking Control for a Class of Pure-Feedback Stochastic Nonlinear Systems Based on Fuzzy-Approximation
The problem of fuzzy-based direct adaptive tracking control is considered for a class of pure-feedback stochastic nonlinear systems. During the controller design, fuzzy logic systems are used to approximate the packaged unknown nonlinearities, and then a novel direct adaptive controller is construct...
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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/462468 |
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author | Huanqing Wang Xiaoping Liu Qi Zhou Hamid Reza Karimi |
author_facet | Huanqing Wang Xiaoping Liu Qi Zhou Hamid Reza Karimi |
author_sort | Huanqing Wang |
collection | DOAJ |
description | The problem of fuzzy-based direct adaptive tracking control is considered for a class of pure-feedback stochastic nonlinear systems. During the controller design, fuzzy logic systems are used to approximate the packaged unknown nonlinearities, and then a novel direct adaptive controller is constructed via backstepping technique. It is shown that the proposed controller guarantees that all the signals in the closed-loop system are bounded in probability and the tracking error eventually converges to a small neighborhood around the origin in the sense of mean quartic value. The main advantages lie in that the proposed controller structure is simpler and only one adaptive parameter needs to be updated online. Simulation results are used to illustrate the effectiveness of the proposed approach. |
format | Article |
id | doaj-art-0e023426023d4a09b1dc573c419b92da |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-0e023426023d4a09b1dc573c419b92da2025-02-03T01:10:21ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/462468462468Direct Adaptive Tracking Control for a Class of Pure-Feedback Stochastic Nonlinear Systems Based on Fuzzy-ApproximationHuanqing Wang0Xiaoping Liu1Qi Zhou2Hamid Reza Karimi3School of Mathematics and Physics, Bohai University, Jinzhou, Liaoning 121000, ChinaFaculty of Engineering, Lakehead University, Orillia, Thunder Bay, ON, P7B 5E1, CanadaCollege of Information Science and Technology, Bohai University, Jinzhou, Liaoning 121000, ChinaDepartment of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, NorwayThe problem of fuzzy-based direct adaptive tracking control is considered for a class of pure-feedback stochastic nonlinear systems. During the controller design, fuzzy logic systems are used to approximate the packaged unknown nonlinearities, and then a novel direct adaptive controller is constructed via backstepping technique. It is shown that the proposed controller guarantees that all the signals in the closed-loop system are bounded in probability and the tracking error eventually converges to a small neighborhood around the origin in the sense of mean quartic value. The main advantages lie in that the proposed controller structure is simpler and only one adaptive parameter needs to be updated online. Simulation results are used to illustrate the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2014/462468 |
spellingShingle | Huanqing Wang Xiaoping Liu Qi Zhou Hamid Reza Karimi Direct Adaptive Tracking Control for a Class of Pure-Feedback Stochastic Nonlinear Systems Based on Fuzzy-Approximation Abstract and Applied Analysis |
title | Direct Adaptive Tracking Control for a Class of Pure-Feedback Stochastic Nonlinear Systems Based on Fuzzy-Approximation |
title_full | Direct Adaptive Tracking Control for a Class of Pure-Feedback Stochastic Nonlinear Systems Based on Fuzzy-Approximation |
title_fullStr | Direct Adaptive Tracking Control for a Class of Pure-Feedback Stochastic Nonlinear Systems Based on Fuzzy-Approximation |
title_full_unstemmed | Direct Adaptive Tracking Control for a Class of Pure-Feedback Stochastic Nonlinear Systems Based on Fuzzy-Approximation |
title_short | Direct Adaptive Tracking Control for a Class of Pure-Feedback Stochastic Nonlinear Systems Based on Fuzzy-Approximation |
title_sort | direct adaptive tracking control for a class of pure feedback stochastic nonlinear systems based on fuzzy approximation |
url | http://dx.doi.org/10.1155/2014/462468 |
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