Title
Global stabilization for nonlinear uncertain systems with unmodeled actuator dynamics
Abstract
Second-order sliding-mode control (2-SMC) algorithms are analyzed to assess their global convergence properties. While standard first-order sliding-mode control (1-SMC) algorithms derive their effectiveness from the global solution of the well known "reaching condition" ss/spl dot//spl les/-k/sup 2/|s| (s=0 being the actual sliding manifold), 2-SMC is based on more complex differential inequalities, for which a global solution could not exist. The approach presented introduces a suitable commutation logic (based on an online simple predictor) that prevents an uncontrollable growth of the uncertainties. Due to this new commutation logic, the global convergence of the state trajectory to the designed sliding manifold is ensured.
Year
DOI
Venue
2001
10.1109/9.964700
Automatic Control, IEEE Transactions
Keywords
Field
DocType
nonlinear systems,stability,uncertain systems,variable structure systems,SISO systems,global convergence,nonlinear systems,sliding-mode control,stabilization,uncertain systems
Convergence (routing),Mathematical optimization,Nonlinear system,Control theory,Variable structure control,Mathematics,Manifold,Trajectory,Commutation,Actuator,Sliding mode control
Journal
Volume
Issue
ISSN
46
11
0018-9286
Citations 
PageRank 
References 
24
2.87
5
Authors
3
Name
Order
Citations
PageRank
Bartolim, G.1242.87
Alessandro Pisano2887.34
Usai, E.3395.53