Adaptive uniform performance control of strict-feedback nonlinear systems with time-varying control gain

In this paper, we present a novel adaptive performance control approach for strict-feedback nonparametric systems with unknown time-varying control coefficients, which mainly includes the following steps. Firstly, by introducing several key transformation functions and selecting the initial value of...

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Main Authors: Zhao, Kai, Wen, Chengyun, Song, Yongduan, Lewis, Frank L.
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2023
Subjects:
Online Access:https://hdl.handle.net/10356/170834
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author Zhao, Kai
Wen, Chengyun
Song, Yongduan
Lewis, Frank L.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Zhao, Kai
Wen, Chengyun
Song, Yongduan
Lewis, Frank L.
author_sort Zhao, Kai
collection NTU
description In this paper, we present a novel adaptive performance control approach for strict-feedback nonparametric systems with unknown time-varying control coefficients, which mainly includes the following steps. Firstly, by introducing several key transformation functions and selecting the initial value of the time-varying scaling function, the symmetric prescribed performance with global and semi-global properties can be handled uniformly, without the need for control re-design. Secondly, to handle the problem of unknown time-varying control coefficient with an unknown sign, we propose an enhanced Nussbaum function (ENF) bearing some unique properties and characteristics, with which the complex stability analysis based on specific Nussbaum functions as commonly used is no longer required. Thirdly, by utilizing the core-function information technique, the non-parametric uncertainties in the system are gracefully handled so that no approximator is required. Furthermore, simulation results verify the effectiveness and benefits of the approach.
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spelling ntu-10356/1708342023-10-18T05:11:29Z Adaptive uniform performance control of strict-feedback nonlinear systems with time-varying control gain Zhao, Kai Wen, Chengyun Song, Yongduan Lewis, Frank L. School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Controls Coefficient Strict Feedback Systems In this paper, we present a novel adaptive performance control approach for strict-feedback nonparametric systems with unknown time-varying control coefficients, which mainly includes the following steps. Firstly, by introducing several key transformation functions and selecting the initial value of the time-varying scaling function, the symmetric prescribed performance with global and semi-global properties can be handled uniformly, without the need for control re-design. Secondly, to handle the problem of unknown time-varying control coefficient with an unknown sign, we propose an enhanced Nussbaum function (ENF) bearing some unique properties and characteristics, with which the complex stability analysis based on specific Nussbaum functions as commonly used is no longer required. Thirdly, by utilizing the core-function information technique, the non-parametric uncertainties in the system are gracefully handled so that no approximator is required. Furthermore, simulation results verify the effectiveness and benefits of the approach. This work was supported in part by the National Key Research and Development Program of China (2021ZD0201300) and in part by the National Natural Science Foundation of China (61860206008, 61933012). 2023-10-18T05:11:28Z 2023-10-18T05:11:28Z 2023 Journal Article Zhao, K., Wen, C., Song, Y. & Lewis, F. L. (2023). Adaptive uniform performance control of strict-feedback nonlinear systems with time-varying control gain. IEEE/CAA Journal of Automatica Sinica, 10(2), 451-461. https://dx.doi.org/10.1109/JAS.2022.106064 2329-9266 https://hdl.handle.net/10356/170834 10.1109/JAS.2022.106064 2-s2.0-85144054185 2 10 451 461 en IEEE/CAA Journal of Automatica Sinica © 2022 IEEE. All rights reserved.
spellingShingle Engineering::Electrical and electronic engineering
Controls Coefficient
Strict Feedback Systems
Zhao, Kai
Wen, Chengyun
Song, Yongduan
Lewis, Frank L.
Adaptive uniform performance control of strict-feedback nonlinear systems with time-varying control gain
title Adaptive uniform performance control of strict-feedback nonlinear systems with time-varying control gain
title_full Adaptive uniform performance control of strict-feedback nonlinear systems with time-varying control gain
title_fullStr Adaptive uniform performance control of strict-feedback nonlinear systems with time-varying control gain
title_full_unstemmed Adaptive uniform performance control of strict-feedback nonlinear systems with time-varying control gain
title_short Adaptive uniform performance control of strict-feedback nonlinear systems with time-varying control gain
title_sort adaptive uniform performance control of strict feedback nonlinear systems with time varying control gain
topic Engineering::Electrical and electronic engineering
Controls Coefficient
Strict Feedback Systems
url https://hdl.handle.net/10356/170834
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AT lewisfrankl adaptiveuniformperformancecontrolofstrictfeedbacknonlinearsystemswithtimevaryingcontrolgain