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Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach
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Zi-xuan Huang, Huan-qing Wang, Ben Niu, Xu-dong Zhao, Adil M. Ahmad. Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach[J]. Frontiers of Information Technology & Electronic Engineering, 1998, -1(-1): .
@article{title="Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach",
author="Zi-xuan Huang, Huan-qing Wang, Ben Niu, Xu-dong Zhao, Adil M. Ahmad",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="-1",
number="-1",
pages="",
year="1998",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.2300408"
}
%0 Journal Article
%T Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach
%A Zi-xuan Huang
%A Huan-qing Wang
%A Ben Niu
%A Xu-dong Zhao
%A Adil M. Ahmad
%J Journal of Zhejiang University SCIENCE C
%V -1
%N -1
%P
%@ 2095-9184
%D 1998
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.2300408
TY - JOUR
T1 - Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach
A1 - Zi-xuan Huang
A1 - Huan-qing Wang
A1 - Ben Niu
A1 - Xu-dong Zhao
A1 - Adil M. Ahmad
J0 - Journal of Zhejiang University Science C
VL - -1
IS - -1
SP -
EP -
%@ 2095-9184
Y1 - 1998
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.2300408
Abstract: In this article, a practical fixed-time adaptive fuzzy control strategy is investigated for uncertain nonlinear systems with time-varying asymmetric constraints and input quantization. To overcome the difficulties of designing controllers under the state constraints case, a unified barrier function approach is employed to construct a coordinate transformation that maps the original constrained system to be an equivalent unconstrained one, thus relaxing the time-varying asymmetric constraints upon system states and avoiding the feasibility check condition typically required in the traditional barrier Lyapunov function-based control approach. Meanwhile, the“explosion of complexity” problem in the traditional backstepping approach arising from repeatedly derivatives of virtual controllers is solved by using the command filter method. It is verified via the fixed-time Lyapunov stability criterion that the system output can track a desired signal within a small error range in a predetermined time, and all system states remain in the constraint range. Finally, a simulation example is offered to demonstrate the effectiveness of the proposed strategy.
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