Adaptive fuzzy control for stochastic pure-feedback nonlinear systems with unknown hysteresis and external disturbance
type: Item
instance of: scholarly article
title: Adaptive fuzzy control for stochastic pure-feedback nonlinear systems with unknown hysteresis and external disturbance
zbMATH Open document ID: 1407.93202
DOI: 10.1155/2018/1487134
author: Xianqiang Yang
published in: Complexity
publication date: 2019-02-19T00:00:00Z
review text: Summary: This paper solves the tracking control problem of a class of stochastic pure-feedback nonlinear systems with external disturbances and unknown hysteresis. By using the mean-value theorem, the problem of pure-feedback nonlinear function is solved. The direction-unknown hysteresis problem is solved with the aid of the Nussbaum function. The external disturbance problems can be solved by defining new Lyapunov functions. Using the backstepping technique, a new adaptive fuzzy control scheme is proposed. The results show that the proposed control scheme ensures that all signals of the closed-loop system are semiglobally uniformly bounded and the tracking error converges to the small neighborhood of origin in the sense of mean quartic value. Simulation results illustrate the effectiveness of the proposed control scheme.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 7025026
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1487134
OpenAlex ID: W2899948276
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Wikidata QID: Q128908623
description: scientific article; zbMATH DE number 7025026