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
Main Authors: Shijun Guan, Liandi Fang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/2486210
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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.
ISSN:1076-2787
1099-0526