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Well-posedness and sliding mode control

Tullio Zolezzi (2005)

ESAIM: Control, Optimisation and Calculus of Variations

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.

Well-posedness and sliding mode control

Tullio Zolezzi (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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.

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