Adaptive Fixed-time Stabilization for a Class of Uncertain Nonlinear Systems

This paper studies the problem of fixed-time stabilization for a class of nonlinear systems with parametric uncertainties, where the nonlinear functions are constrained by an unknown linear growth condition. By establishing a new adaptive fixed-time stability analysis criterion, it is proved that th...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 68; no. 11; pp. 1 - 8
Main Authors Meng, Qingtan, Ma, Qian, Shi, Yang
Format Journal Article
LanguageEnglish
Published New York IEEE 01.11.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
adaptive control
Adaptive systems
Asymptotic stability
Backstepping
backstepping method
Closed loops
Convergence
Feedback control
fixed-time control
Lyapunov methods
Nonlinear systems
Stability analysis
Stability criteria
Uncertain nonlinear system
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Summary:This paper studies the problem of fixed-time stabilization for a class of nonlinear systems with parametric uncertainties, where the nonlinear functions are constrained by an unknown linear growth condition. By establishing a new adaptive fixed-time stability analysis criterion, it is proved that the closed-loop system is fixed-time stable and all the states can be regulated to zero. In addition, the singularity problem caused by the backstepping method under fixed-time control can be avoided. Finally, the effectiveness of the control strategy is verified by a simulation example.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2023.3244151