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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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Vilnius University Press
2017-05-01
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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. |
first_indexed | 2024-04-13T10:42:40Z |
format | Article |
id | doaj.art-79215c1dc8534126824221ea9b8e00c7 |
institution | Directory Open Access Journal |
issn | 1392-5113 2335-8963 |
language | English |
last_indexed | 2024-04-13T10:42:40Z |
publishDate | 2017-05-01 |
publisher | Vilnius University Press |
record_format | Article |
series | Nonlinear Analysis |
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 |