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Journal of Zhejiang University SCIENCE C 1998 Vol.-1 No.-1 P.

http://doi.org/10.1631/FITEE.2300408


Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach


Author(s):  Zi-xuan Huang, Huan-qing Wang, Ben Niu, Xu-dong Zhao, Adil M. Ahmad

Affiliation(s):  College of Engineering, Bohai University, Jinzhou 121013, Liaoning, China; more

Corresponding email(s):   huangzixuan0301@163.com

Key Words:  unified barrier function, time-varying asymmetric state constraints, fuzzy logic systems, fixed-time control, command filter


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): .

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author="Zi-xuan Huang, Huan-qing Wang, Ben Niu, Xu-dong Zhao, Adil M. Ahmad",
journal="Frontiers of Information Technology & Electronic Engineering",
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year="1998",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.2300408"
}

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%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
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A1 - Xu-dong Zhao
A1 - Adil M. Ahmad
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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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