Finite-Time Stabilization via Sliding Mode Control

This technical note investigates the sliding mode control (SMC) design based on finite-time boundedness (FTB) for a class of nonlinear systems. A suitable SMC law is constructed to drive the state trajectories onto the specified sliding surface during a specified finite (possibly short) time interva...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2017-03, Vol.62 (3), p.1478-1483
Main Authors: Song, Jun, Niu, Yugang, Zou, Yuanyuan
Format: Article
Language:English
Subjects:
Asymptotic stability
Closed loop systems
Finite-time boundedness (FTB)
finite-time stability (FTS)
Nonlinear systems
Sliding mode control
sliding mode control (SMC)
Symmetric matrices
Trajectory
Transient analysis
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Summary:This technical note investigates the sliding mode control (SMC) design based on finite-time boundedness (FTB) for a class of nonlinear systems. A suitable SMC law is constructed to drive the state trajectories onto the specified sliding surface during a specified finite (possibly short) time interval. Besides, by introducing a partitioning strategy, the corresponding FTB over reaching phase and sliding motion phase are guaranteed, respectively. And then, the sufficient conditions are derived to ensure the FTB of the closed-loop systems over the whole finite-time interval. Finally, a simulation example is given to show the effectiveness of the proposed design method.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2016.2578300