Paper Info
Title
Divergence theorem for super twisting control
Abstract
As follows from analysis of stability for super twisting sliding mode control [1], for any bounded disturbance the controller parameters exist such that the state converges to the origin in the system state plane. The minimal possible convergence time is dictated by the necessary conditions. The question discussed in this paper: can the set of parameters be found such that convergence takes place for an arbitrary disturbance? The answer is negative: for any set of the controller parameters there exists a bounded disturbance such that the state trajectories are diverging. It means that the controller parameters should be tended to infinity to stabilize the system with increasing disturbances. As a result chattering suppression property of the super twisting control is essentially degraded even if compared with the conventional first order sliding mode control.
Year
DOI
Venue
2016
10.1109/VSS.2016.7506912
2016 14th International Workshop on Variable Structure Systems (VSS)
Keywords
Field
DocType
super twisting control,stability,chattering
Convergence (routing),Control theory,State Plane Coordinate System,Control theory,Infinity,Divergence theorem,Trajectory,Mathematics,Sliding mode control,Bounded function
Conference
ISSN
ISBN
Citations 
2158-3978
978-1-4673-9789-6
0
PageRank 
References 
Authors
0.34
1
1
Name
Order
Citations
PageRank
Vadim I. Utkin121022.27