Teoremi di esistenza nella teoria dei controlli ottimi in dimensione finita
Teoremi d'esistenza per problemi di controllo ottimo retti da equazioni ellittiche o paraboliche
Teoremi di esistenza nella teoria dei controlli ottimi in dimensione infinita
Well-posedness and sliding mode control
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
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.
Asymptotic Behavior in Sliding Mode Control Systems
Practical stability of real states of nonlinear sliding mode control systems is related to asymptotic vanishing of the corresponding sliding errors. Conditions are found such that, if the equivalent control achieves exponential stability, then real states are practically stable. In special cases, their exponential stability is obtained. A link between convergence of regularization procedures and metric regularity is pointed out. 2010 Mathematics Subject Classification: 93B12, 93D15.
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