Abstract
Original language | English |
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Pages (from-to) | 4301-4308 |
Journal | IEEE Transactions on Automatic Control |
Volume | 63 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2018 |
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Keywords
- Lyapunov function
- Reaching time
- Sliding mode control
Fields of Expertise
- Information, Communication & Computing
Cite this
A Novel Method to Estimate the Reaching Time of the Super-Twisting Algorithm. / Seeber, Richard; Horn, Martin; Fridman, Leonid.
In: IEEE Transactions on Automatic Control, Vol. 63, No. 12, 2018, p. 4301-4308.Research output: Contribution to journal › Article › Research › peer-review
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TY - JOUR
T1 - A Novel Method to Estimate the Reaching Time of the Super-Twisting Algorithm
AU - Seeber, Richard
AU - Horn, Martin
AU - Fridman, Leonid
PY - 2018
Y1 - 2018
N2 - The super-twisting algorithm is a well-known technique in the field of sliding mode control or observation. In this contribution, an exact analytic expression for this algorithm's finite reaching time in the unperturbed case is derived. Based on this derivation, a novel estimation for the upper bound of the algorithm's reaching time the presence of perturbations is presented. The considered perturbations may be composed of additive components that are either Lipschitz continuous in time or Hölder continuous in the sliding variable. Both analytically and in the course of numerical examples the new strategy is shown to yield significant improvements compared to existing reaching time estimates.
AB - The super-twisting algorithm is a well-known technique in the field of sliding mode control or observation. In this contribution, an exact analytic expression for this algorithm's finite reaching time in the unperturbed case is derived. Based on this derivation, a novel estimation for the upper bound of the algorithm's reaching time the presence of perturbations is presented. The considered perturbations may be composed of additive components that are either Lipschitz continuous in time or Hölder continuous in the sliding variable. Both analytically and in the course of numerical examples the new strategy is shown to yield significant improvements compared to existing reaching time estimates.
KW - Lyapunov function
KW - Reaching time
KW - Sliding mode control
U2 - 10.1109/TAC.2018.2812789
DO - 10.1109/TAC.2018.2812789
M3 - Article
VL - 63
SP - 4301
EP - 4308
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 12
ER -