On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space
Résumé
Based on the notion of generalized homogeneity, a new algorithm of feedback control design is developed for a plant modeled by a linear evolution equation in a Hilbert space with a possibly unbounded operator. The designed control law steers any solution of the closed-loop system to zero in a finite time. Method of homogeneous extension is presented in order to make the developed control design principles to be applicable for evolution systems with non-homogeneous operators. The design scheme is demonstrated for heat equation with the control input distributed on the segment [0, 1].
Domaines
Automatique| Origine | Fichiers produits par l'(les) auteur(s) |
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