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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Main Authors: Huanqing Wang, Xiaoping Liu, Qi Zhou, Hamid Reza Karimi
Format: Article
Language:English
Published: Wiley 2014-01-01
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.
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institution Kabale University
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language English
publishDate 2014-01-01
publisher Wiley
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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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AT qizhou directadaptivetrackingcontrolforaclassofpurefeedbackstochasticnonlinearsystemsbasedonfuzzyapproximation
AT hamidrezakarimi directadaptivetrackingcontrolforaclassofpurefeedbackstochasticnonlinearsystemsbasedonfuzzyapproximation