Robust adaptive fuzzy control for a class of uncertain MIMO nonlinear systems with input saturation
type: Item
instance of: scholarly article
title: Robust adaptive fuzzy control for a class of uncertain MIMO nonlinear systems with input saturation
zbMATH Open document ID: 1394.93166
DOI: 10.1155/2015/561397
author: Shenglin Wen
author: Ye Yan
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper studies the robust adaptive fuzzy control design problem for a class of uncertain multiple-input and multiple-output (MIMO) nonlinear systems in the presence of actuator amplitude and rate saturation. In the control scheme, fuzzy logic systems are used to approximate unknown nonlinear systems. To compensate the effect of input saturations, an auxiliary system is constructed and the actuator saturations then can be augmented into the controller. The modified tracking error is introduced and used in fuzzy parameter update laws. Furthermore, in order to deal with fuzzy approximation errors for unknown nonlinear systems and external disturbances, a robust compensation control is designed. It is proved that the closed-loop system obtains \(H_{\infty}\) tracking performance through Lyapunov analysis. Steady and transient modified tracking errors are analyzed and the bound of modified tracking errors can be adjusted by tuning certain design parameters. The proposed control scheme is applicable to uncertain nonlinear systems not only with actuator amplitude saturation, but also with actuator amplitude and rate saturation. Detailed simulation results of a rigid body satellite attitude control system in the presence of parametric uncertainties, external disturbances, and control input constraints have been presented to illustrate the effectiveness of the proposed control scheme.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 6926644
Wikidata QID: Q59119306
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/561397
OpenAlex ID: W2071812053
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description: scientific article; zbMATH DE number 6926644