Modeling and prescribed H-infinity tracking control for strict feedback nonlinear systems

By utilizing backstepping technique, an H∞ robust controller with improved prescribed performance and dynamic surface control is designed for a class of strict feedback nonlinear systems. The transient and steady state performance for the tracking errors of nonlinear system can be guaranteed by usin...

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Main Authors: Chuang Gao, Yufu Jia, Xiaoping Liu, Ming Chen
Format: Article
Language:English
Published: Vilnius University Press 2017-05-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13389
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author Chuang Gao
Yufu Jia
Xiaoping Liu
Ming Chen
author_facet Chuang Gao
Yufu Jia
Xiaoping Liu
Ming Chen
author_sort Chuang Gao
collection DOAJ
description By utilizing backstepping technique, an H∞ robust controller with improved prescribed performance and dynamic surface control is designed for a class of strict feedback nonlinear systems. The transient and steady state performance for the tracking errors of nonlinear system can be guaranteed by using improved prescribed performance constraint. The dynamic surface control is used to overcome the differential explosion problem in the backstepping procedure. The impacts of uncertainties in the system are attenuated by H∞control. The performance and stability analysis proves that the controller design procedure is simple with low complexity and robustness. Finally, the simulation results verify the effectiveness of the controller. By comparing with the existing method, the proposed method has a faster convergence speed and better steady state performance, and also the controller design process is simpler.
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spelling doaj.art-79215c1dc8534126824221ea9b8e00c72022-12-22T02:49:54ZengVilnius University PressNonlinear Analysis1392-51132335-89632017-05-0122310.15388/NA.2017.3.3Modeling and prescribed H-infinity tracking control for strict feedback nonlinear systemsChuang Gao0Yufu Jia1Xiaoping Liu2Ming Chen3University of Science and Technology Liaoning, ChinaUniversity of Science and Technology Liaoning, ChinaUniversity of Science and Technology Liaoning, China; Lakehead University, CanadaUniversity of Science and Technology Liaoning, ChinaBy utilizing backstepping technique, an H∞ robust controller with improved prescribed performance and dynamic surface control is designed for a class of strict feedback nonlinear systems. The transient and steady state performance for the tracking errors of nonlinear system can be guaranteed by using improved prescribed performance constraint. The dynamic surface control is used to overcome the differential explosion problem in the backstepping procedure. The impacts of uncertainties in the system are attenuated by H∞control. The performance and stability analysis proves that the controller design procedure is simple with low complexity and robustness. Finally, the simulation results verify the effectiveness of the controller. By comparing with the existing method, the proposed method has a faster convergence speed and better steady state performance, and also the controller design process is simpler.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13389backsteppingprescribed performancedynamic surface controlnonlinear systemH-infinity control
spellingShingle Chuang Gao
Yufu Jia
Xiaoping Liu
Ming Chen
Modeling and prescribed H-infinity tracking control for strict feedback nonlinear systems
Nonlinear Analysis
backstepping
prescribed performance
dynamic surface control
nonlinear system
H-infinity control
title Modeling and prescribed H-infinity tracking control for strict feedback nonlinear systems
title_full Modeling and prescribed H-infinity tracking control for strict feedback nonlinear systems
title_fullStr Modeling and prescribed H-infinity tracking control for strict feedback nonlinear systems
title_full_unstemmed Modeling and prescribed H-infinity tracking control for strict feedback nonlinear systems
title_short Modeling and prescribed H-infinity tracking control for strict feedback nonlinear systems
title_sort modeling and prescribed h infinity tracking control for strict feedback nonlinear systems
topic backstepping
prescribed performance
dynamic surface control
nonlinear system
H-infinity control
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13389
work_keys_str_mv AT chuanggao modelingandprescribedhinfinitytrackingcontrolforstrictfeedbacknonlinearsystems
AT yufujia modelingandprescribedhinfinitytrackingcontrolforstrictfeedbacknonlinearsystems
AT xiaopingliu modelingandprescribedhinfinitytrackingcontrolforstrictfeedbacknonlinearsystems
AT mingchen modelingandprescribedhinfinitytrackingcontrolforstrictfeedbacknonlinearsystems