Title
<tex>$\mathcal{H}_{\infty}$</tex> Optimal Parameters for the Super-Twisting Algorithm with Intermediate Disturbance Bound Mismatch
Abstract
The super-twisting algorithm is studied for the case when a disturbance whose derivative is L2-norm bounded and violates its presumed Lipschitz bound from time to time. In such interim time span the state may be driven away from the origin and converge again once the derivative of the disturbance reenters the presumed Lipschitz bound. We present an H∞-norm optimal parameter range for choosing the super-twisting gains to minimize the L2-gain of a matched disturbance in this worst case scenario. Simulations show that such parameter choice may provide better results, compared to other choices.
Year
DOI
Venue
2018
10.1109/VSS.2018.8460421
2018 15th International Workshop on Variable Structure Systems (VSS)
Keywords
DocType
ISBN
L2-gain,H∞-norm optimal parameter range,presumed Lipschitz bound,parameter choice,worst case scenario,interim time span,intermediate disturbance bound mismatch,super-twisting algorithm
Conference
978-1-5386-6440-7
Citations 
PageRank 
References 
0
0.34
6
Authors
2
Name
Order
Citations
PageRank
Daipeng Zhang100.68
Johann Reger24017.29