Finite-Time Stabilization for p-Norm Stochastic Nonlinear Systems with Output Constraints

This paper investigates the finite-time stability problem of p-norm stochastic nonlinear systems subject to output constraint. To cope with the constraint on system output, a tan-type barrier Lyapunov function (BLF) is constructed. By using the constructed BLF and the backstepping technique, a new c...

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Bibliographic Details
Published inComplexity (New York, N.Y.) Vol. 2020; no. 2020; pp. 1 - 14
Main Authors Guan, Shijun, Fang, Liandi
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 12.08.2020
Hindawi
John Wiley & Sons, Inc
Wiley
Subjects
Algorithms
Closed loop systems
Computer simulation
Control algorithms
Control systems design
Control theory
Controllers
Feedback control
Liapunov functions
Nonlinear systems
Stochastic systems
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ISSN1076-2787
1099-0526
DOI10.1155/2020/2486210

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Summary:This paper investigates the finite-time stability problem of p-norm stochastic nonlinear systems subject to output constraint. To cope with the constraint on system output, a tan-type barrier Lyapunov function (BLF) is constructed. By using the constructed BLF and the backstepping technique, a new control algorithm is proposed with a continuous state-feedback controller being designed, which guarantees not only that the requirement of output constraint is always achieved but also that the origin of the system is finite-time stable. This result is demonstrated by both the rigorous analysis and the simulation example.
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ISSN:1076-2787
1099-0526
DOI:10.1155/2020/2486210