Direct adaptive tracking control for a class of pure-feedback stochastic nonlinear systems based on fuzzy-approximation
type: Item
instance of: scholarly article
title: Direct adaptive tracking control for a class of pure-feedback stochastic nonlinear systems based on fuzzy-approximation
zbMATH Open document ID: 1461.93268
DOI: 10.1155/2014/462468
author: Huanqing Wang
author: Qi Zhou
author: Hamid Reza Karimi
author: Xiaoping Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 7022425
zbMATH Keywords: adaptive tracking control
zbMATH Keywords: pure-feedback stochastic nonlinear systems
zbMATH Keywords: fuzzy approximation
Wikidata QID: Q59038426
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/462468
OpenAlex ID: W1965559035
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description: scientific article; zbMATH DE number 7022425