Accepted manuscript available online (unedited version)
Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach
Affiliation(s):
College of Engineering, Bohai University, Jinzhou 121013, Liaoning, China;
moreAffiliation(s): College of Engineering, Bohai University, Jinzhou 121013, Liaoning, China; College of Mathematical Science, Bohai University, Jinzhou 121013, Liaoning, China; School of Information Science and Engineering, Shandong Normal University, Jinan 250014, Shandong, China; Faculty of Electronic Information and Engineering, Dalian University of Technology, Dalian 116024, Liaoning, China; Communication Systems and Networks Research Group, Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia;
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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,in press.https://doi.org/10.1631/FITEE.2300408
@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", year="in press", publisher="Zhejiang University Press & Springer", doi="https://doi.org/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 Frontiers of Information Technology & Electronic Engineering %P %@ 2095-9184 %D in press %I Zhejiang University Press & Springer doi="https://doi.org/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 - Frontiers of Information Technology & Electronic Engineering SP - EP - %@ 2095-9184 Y1 - in press PB - Zhejiang University Press & Springer ER - doi="https://doi.org/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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