Adaptive Fuzzy Fault-Tolerant Output Feedback Tracking Control of Uncertain Stochastic Nonlinear Systems with Unknown Time-Delay and Tracking Error Constrained

Adaptive Fuzzy Fault-Tolerant Output Feedback Tracking Control of Uncertain Stochastic Nonlinear Systems with Unknown Time-Delay and Tracking Error Constrained

The problem of tracking error constrained adaptive fuzzy output feedback control is investigated for a class of single-input and single-output (SISO) stochastic nonlinear systems with actuator faults, unknown time-delay, and unmeasured states. The considered faults are modeled as both loss of effect...

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Main Authors: Shuai Sui, Shaocheng Tong, Yongming Li
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/703609
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spelling doaj-51ff9f5d2ac3466d8a039a37410ac68a2020-11-24T22:13:28ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/703609703609Adaptive Fuzzy Fault-Tolerant Output Feedback Tracking Control of Uncertain Stochastic Nonlinear Systems with Unknown Time-Delay and Tracking Error ConstrainedShuai Sui0Shaocheng Tong1Yongming Li2Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, Liaoning 121000, ChinaDepartment of Basic Mathematics, Liaoning University of Technology, Jinzhou, Liaoning 121000, ChinaDepartment of Basic Mathematics, Liaoning University of Technology, Jinzhou, Liaoning 121000, ChinaThe problem of tracking error constrained adaptive fuzzy output feedback control is investigated for a class of single-input and single-output (SISO) stochastic nonlinear systems with actuator faults, unknown time-delay, and unmeasured states. The considered faults are modeled as both loss of effectiveness and lock-in-place. The fuzzy logic systems are used to approximate the unknown nonlinear functions, and a fuzzy adaptive observer is designed for estimating the unmeasured states. By transforming the tracking errors into new virtual error variables and based on backstepping recursive design technique, a new fuzzy adaptive output feedback control method is developed. It is shown that all the signals of the resulting closed-loop system are bounded in probability and the tracking error remains an adjustable neighborhood of the origin within the prescribed bounds. The simulation results are provided to show the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2014/703609
collection DOAJ
language English
format Article
sources DOAJ
author Shuai Sui
Shaocheng Tong
Yongming Li
spellingShingle Shuai Sui
Shaocheng Tong
Yongming Li
Adaptive Fuzzy Fault-Tolerant Output Feedback Tracking Control of Uncertain Stochastic Nonlinear Systems with Unknown Time-Delay and Tracking Error Constrained
Journal of Applied Mathematics
author_facet Shuai Sui
Shaocheng Tong
Yongming Li
author_sort Shuai Sui
title Adaptive Fuzzy Fault-Tolerant Output Feedback Tracking Control of Uncertain Stochastic Nonlinear Systems with Unknown Time-Delay and Tracking Error Constrained
title_short Adaptive Fuzzy Fault-Tolerant Output Feedback Tracking Control of Uncertain Stochastic Nonlinear Systems with Unknown Time-Delay and Tracking Error Constrained
title_full Adaptive Fuzzy Fault-Tolerant Output Feedback Tracking Control of Uncertain Stochastic Nonlinear Systems with Unknown Time-Delay and Tracking Error Constrained
title_fullStr Adaptive Fuzzy Fault-Tolerant Output Feedback Tracking Control of Uncertain Stochastic Nonlinear Systems with Unknown Time-Delay and Tracking Error Constrained
title_full_unstemmed Adaptive Fuzzy Fault-Tolerant Output Feedback Tracking Control of Uncertain Stochastic Nonlinear Systems with Unknown Time-Delay and Tracking Error Constrained
title_sort adaptive fuzzy fault-tolerant output feedback tracking control of uncertain stochastic nonlinear systems with unknown time-delay and tracking error constrained
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description The problem of tracking error constrained adaptive fuzzy output feedback control is investigated for a class of single-input and single-output (SISO) stochastic nonlinear systems with actuator faults, unknown time-delay, and unmeasured states. The considered faults are modeled as both loss of effectiveness and lock-in-place. The fuzzy logic systems are used to approximate the unknown nonlinear functions, and a fuzzy adaptive observer is designed for estimating the unmeasured states. By transforming the tracking errors into new virtual error variables and based on backstepping recursive design technique, a new fuzzy adaptive output feedback control method is developed. It is shown that all the signals of the resulting closed-loop system are bounded in probability and the tracking error remains an adjustable neighborhood of the origin within the prescribed bounds. The simulation results are provided to show the effectiveness of the proposed approach.
url http://dx.doi.org/10.1155/2014/703609
work_keys_str_mv AT shuaisui adaptivefuzzyfaulttolerantoutputfeedbacktrackingcontrolofuncertainstochasticnonlinearsystemswithunknowntimedelayandtrackingerrorconstrained
AT shaochengtong adaptivefuzzyfaulttolerantoutputfeedbacktrackingcontrolofuncertainstochasticnonlinearsystemswithunknowntimedelayandtrackingerrorconstrained
AT yongmingli adaptivefuzzyfaulttolerantoutputfeedbacktrackingcontrolofuncertainstochasticnonlinearsystemswithunknowntimedelayandtrackingerrorconstrained
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