Fixed-time SOSM controller design subject to an asymmetric output constraint

This paper addresses the problem of fixed-time controller design for the second-order sliding mode (SOSM) dynamics with asymmetric output constraints. Based on the construction of a barrier Lyapunov function (BLF) and the technique of adding a power integrator, a fixed-time SOSM controller that can...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 358; no. 15; pp. 7485 - 7506
Main Authors Wang, Lei, Mei, Keqi, Ding, Shihong
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.10.2021
Elsevier Science Ltd
Subjects
Asymmetry
Closed loop systems
Constraints
Control stability
Control systems design
Controllers
Feedback control systems
Initial conditions
Liapunov functions
Mathematical functions
Stability analysis
Systems stability
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Summary:This paper addresses the problem of fixed-time controller design for the second-order sliding mode (SOSM) dynamics with asymmetric output constraints. Based on the construction of a barrier Lyapunov function (BLF) and the technique of adding a power integrator, a fixed-time SOSM controller that can be used to handle the asymmetric output constraint issue is developed. A strict Lyapunov stability analysis shows that the developed SOSM controller guarantees that the sliding variable can converge to the origin within a fixed time that is irrelevant to the system initial conditions. Meanwhile, the system output will never invade the boundary of the preset asymmetric constrained area. Finally, two examples are given to verify the effectiveness and the feasibility of the proposed scheme.
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content type line 14
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2021.07.040