Sliding mode control of ordinary differential equations is considered. A key robustness property, called approximability, is studied from an optimization point of view. It is proved that Tikhonov well-posedness of a suitably defined optimization problem is intimately related to approximability. Making use of this link, new approximability criteria are obtained for nonlinear sliding mode control systems.
Keywords: sliding mode control, Tikhonov well-posedness, approximability
@article{COCV_2005__11_2_219_0,
author = {Zolezzi, Tullio},
title = {Well-posedness and sliding mode control},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {219--228},
year = {2005},
publisher = {EDP Sciences},
volume = {11},
number = {2},
doi = {10.1051/cocv:2005003},
mrnumber = {2141887},
zbl = {1125.93011},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv:2005003/}
}
TY - JOUR AU - Zolezzi, Tullio TI - Well-posedness and sliding mode control JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2005 SP - 219 EP - 228 VL - 11 IS - 2 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/cocv:2005003/ DO - 10.1051/cocv:2005003 LA - en ID - COCV_2005__11_2_219_0 ER -
Zolezzi, Tullio. Well-posedness and sliding mode control. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 2, pp. 219-228. doi: 10.1051/cocv:2005003
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