Title
A novel second-order sliding mode control based on the Lyapunov method
Abstract
In this paper, a novel discontinuous second-order sliding mode control approach has been developed to handle sliding mode dynamics with a nonvanishing mismatched disturbance by using Lyapunov theory and a finite-time disturbance observer. Firstly, the finite-time disturbance observer is designed to estimate the nonvanishing mismatched disturbance. Secondly, a virtual controller has been constructed based on the estimated value such that the sliding variable can be stabilized to zero in a finite time. Then, the real discontinuous controller is designed to guarantee that the virtual controller can be well tracked in a finite time. Lyapunov analysis also verifies the finite-time stability of the closed-loop sliding mode control system. The developed discontinuous second-order sliding mode control method possesses two appealing features including strong robustness with respect to the matched and mismatched nonvanishing disturbances, and relaxation on the constant upper bound of uncertainties widely used in a conventional second-order sliding mode. Finally, an academic example is illustrated to verify the effectiveness of the proposed method.
Year
DOI
Venue
2019
10.1177/0142331218783244
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
Keywords
DocType
Volume
Disturbance observer,second-order sliding mode,finite-time stability
Journal
41.0
Issue
ISSN
Citations 
SP4
0142-3312
0
PageRank 
References 
Authors
0.34
27
4
Name
Order
Citations
PageRank
Lu Liu11501170.70
Shihong Ding231930.28
Lifei Ma3157.45
Haibin Sun400.68