CLC number: TP13
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2024-01-21
Cited: 0
Clicked: 1208
Citations: Bibtex RefMan EndNote GB/T7714
https://orcid.org/0000-0002-9818-8034
Yan WEI, Mingshuang HAO, Xinyi YU, Linlin OU. Asymmetric time-varying integral barrier Lyapunov function based adaptive optimal control for nonlinear systems with dynamic state constraints[J]. Frontiers of Information Technology & Electronic Engineering, 2024, 25(6): 887-902.
@article{title="Asymmetric time-varying integral barrier Lyapunov function based adaptive optimal control for nonlinear systems with dynamic state constraints",
author="Yan WEI, Mingshuang HAO, Xinyi YU, Linlin OU",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="25",
number="6",
pages="887-902",
year="2024",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.2300675"
}
%0 Journal Article
%T Asymmetric time-varying integral barrier Lyapunov function based adaptive optimal control for nonlinear systems with dynamic state constraints
%A Yan WEI
%A Mingshuang HAO
%A Xinyi YU
%A Linlin OU
%J Frontiers of Information Technology & Electronic Engineering
%V 25
%N 6
%P 887-902
%@ 2095-9184
%D 2024
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.2300675
TY - JOUR
T1 - Asymmetric time-varying integral barrier Lyapunov function based adaptive optimal control for nonlinear systems with dynamic state constraints
A1 - Yan WEI
A1 - Mingshuang HAO
A1 - Xinyi YU
A1 - Linlin OU
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 25
IS - 6
SP - 887
EP - 902
%@ 2095-9184
Y1 - 2024
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.2300675
Abstract: This paper investigates the issue of adaptive optimal tracking control for nonlinear systems with dynamic state constraints. An asymmetric time-varying integral barrier Lyapunov function (ATIBLF) based integral reinforcement learning (IRL) control algorithm with an actor–critic structure is first proposed. The ATIBLF items are appropriately arranged in every step of the optimized backstepping control design to ensure that the dynamic full-state constraints are never violated. Thus, optimal virtual/actual control in every backstepping subsystem is decomposed with ATIBLF items and also with an adaptive optimized item. Meanwhile, neural networks are used to approximate the gradient value functions. According to the Lyapunov stability theorem, the boundedness of all signals of the closed-loop system is proved, and the proposed control scheme ensures that the system states are within predefined compact sets. Finally, the effectiveness of the proposed control approach is validated by simulations.
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