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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.
@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}, publisher = {EDP-Sciences}, volume = {11}, number = {2}, year = {2005}, doi = {10.1051/cocv:2005003}, mrnumber = {2141887}, zbl = {1125.93011}, language = {en}, url = {http://geodesic.mathdoc.fr/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 - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2005003/ DO - 10.1051/cocv:2005003 LA - en ID - COCV_2005__11_2_219_0 ER -
%0 Journal Article %A Zolezzi, Tullio %T Well-posedness and sliding mode control %J ESAIM: Control, Optimisation and Calculus of Variations %D 2005 %P 219-228 %V 11 %N 2 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2005003/ %R 10.1051/cocv:2005003 %G en %F COCV_2005__11_2_219_0
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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